Henrywood and Agarwal, Equation (9a)

Time bar (total: 16.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze547.0ms (3.2%)

Memory
-38.9MiB live, 821.7MiB 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)

sample2.5s (14.9%)

Memory
-42.8MiB live, 2 219.5MiB allocated
Samples
1.0s8 256×0valid
428.0ms2 759×0invalid
Precisions
Click to see histograms. Total time spent on operations: 917.0ms
ival-mult: 368.0ms (40.1% of total)
ival-div: 203.0ms (22.1% of total)
ival-pow2: 181.0ms (19.7% of total)
ival-sqrt: 87.0ms (9.5% of total)
ival-sub: 56.0ms (6.1% of total)
exact: 10.0ms (1.1% of total)
ival-true: 8.0ms (0.9% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain346.0ms (2%)

Memory
-40.9MiB live, 348.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
540-1(-2.0111547741504508e+60 3.063965187252757e-53 1.1269803966661805e-178 8.389244048250729e+307 5.7720069399059795e+107 -5.253064940826968e-72)(*.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))))
220-0-(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
60-0-(*.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))overflow44
↳(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))overflow51
↳(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))overflow22
↳(*.f64 #s(literal 2 binary64) d)overflow1
↳(*.f64 M D)overflow14
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow15
↳(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow51
↳(/.f64 h l)overflow39
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o110
*.f64(*.f64 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*o60
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n60
↳(*.f64 M D)overflow14
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u40
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow44
↳(*.f64 #s(literal 2 binary64) d)overflow1
↳(*.f64 M D)overflow14
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow15
↳(/.f64 h l)underflow37
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))u*o20
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow109
↳(*.f64 M D)underflow36
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow48
↳(/.f64 h l)overflow39
Confusion
Predicted +Predicted -
+4117
-12186
Precision
0.7735849056603774
Recall
0.7068965517241379
Confusion?
Predicted +Predicted MaybePredicted -
+41017
-120186
Precision?
0.7735849056603774
Recall?
0.7068965517241379
Freqs
test
numberfreq
0203
148
25
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
63.0ms512×0valid
Compiler

Compiled 218 to 55 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 19.0ms (48.8% of total)
ival-div: 8.0ms (20.5% of total)
ival-pow2: 5.0ms (12.8% of total)
ival-sqrt: 3.0ms (7.7% of total)
ival-sub: 2.0ms (5.1% of total)
exact: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess196.0ms (1.2%)

Memory
30.5MiB live, 182.9MiB allocated
Algorithm
1×egg-herbie
Rules
5 232×lower-*.f32
5 224×lower-*.f64
5 184×lower-/.f32
5 180×lower-/.f64
1 444×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

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

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.0%
(*.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)

simplify134.0ms (0.8%)

Memory
-5.6MiB live, 116.7MiB 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 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (*.f64 D M)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (*.f64 D M)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (*.f64 D M)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(*.f64 (/.f64 h l) (*.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (*.f64 D M)))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (*.f64 D M))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 (/.f64 M (*.f64 d #s(literal 2 binary64))) D)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

localize72.0ms (0.4%)

Memory
-23.4MiB live, 55.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.4392994813923576
(*.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)))))
accuracy5.141892439540636
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy6.754794703332697
(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))))
accuracy12.722865169156625
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Samples
58.0ms256×0valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 35.0ms (75.4% of total)
ival-mult: 6.0ms (12.9% of total)
ival-sqrt: 2.0ms (4.3% of total)
ival-pow2: 2.0ms (4.3% of total)
ival-sub: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series115.0ms (0.7%)

Memory
4.2MiB live, 122.4MiB 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>) () ())) ())
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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 (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
16.0ms
D
@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)))
16.0ms
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)))
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
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)))
4.0ms
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)))

simplify303.0ms (1.8%)

Memory
27.4MiB live, 223.3MiB 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) w0) (*.f64 l (*.f64 d d))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) w0)) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) h w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) w0) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) w0) h)) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l)))) h (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) w0) (*.f64 l (*.f64 d d))))) h w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 l (*.f64 d d))))) h #s(literal 1 binary64))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) h) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) h (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 l (*.f64 d d))))) h #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* 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 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* 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 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* 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 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l (*.f64 (*.f64 h h) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) h)
(* 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 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (*.f64 (*.f64 D D) D))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l (*.f64 (*.f64 h h) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d)))) h)
(* 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 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (*.f64 (*.f64 D D) D))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l (*.f64 (*.f64 h h) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))))) h)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
(* 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l (*.f64 (*.f64 h h) h))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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)))))))
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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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(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 h h) (*.f64 (pow.f64 M #s(literal 6 binary64)) h))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* 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 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* 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 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* 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 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))

rewrite290.0ms (1.7%)

Memory
6.5MiB live, 207.2MiB 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
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 d (/.f64 #s(literal 2 binary64) M))) D)
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 #s(literal -2 binary64) d)) (*.f64 (neg.f64 M) D))
(*.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) D) (/.f64 #s(literal 1 binary64) d))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (/.f64 D d)) (/.f64 D d))
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 D d)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 M M)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) D) (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (*.f64 #s(literal 1 binary64) M) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 (/.f64 M d) (/.f64 M d)))
(*.f64 (*.f64 (/.f64 M d) (/.f64 M d)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))
(*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(*.f64 (/.f64 (*.f64 (neg.f64 M) D) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal -2 binary64)) (/.f64 (*.f64 (neg.f64 M) D) d))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 d)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) (*.f64 (/.f64 D d) M))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 d M)) (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 #s(literal 2 binary64) D)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 #s(literal 2 binary64) D)) (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 d M)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 d D)) (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 #s(literal 2 binary64) M)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 #s(literal 2 binary64) M)) (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 d D)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 d #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 #s(literal 1 binary64) (*.f64 D M))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) d) (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 #s(literal 2 binary64) (*.f64 D M))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (/.f64 d (*.f64 D M))))
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 d #s(literal 2 binary64))) (/.f64 (/.f64 M d) (/.f64 #s(literal 1 binary64) (*.f64 D M))))
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 M d) (/.f64 d (*.f64 D M))))
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) D)) (/.f64 (/.f64 M d) (/.f64 d M)))
(*.f64 (/.f64 (/.f64 M d) (/.f64 d M)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) D)))
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) M)) (/.f64 (/.f64 M d) (/.f64 d D)))
(*.f64 (/.f64 (/.f64 M d) (/.f64 d D)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) M)))
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d D)) (/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) M)))
(*.f64 (/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) M)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d D)))
(*.f64 (/.f64 (/.f64 M d) (*.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 D M))))
(*.f64 (/.f64 (/.f64 M d) d) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 D M))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 d #s(literal 2 binary64))) (/.f64 M (/.f64 #s(literal 1 binary64) (*.f64 D M))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) d) (/.f64 M (/.f64 #s(literal 2 binary64) (*.f64 D M))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) (/.f64 M (/.f64 d (*.f64 D M))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (/.f64 d M)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 2 binary64) D)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (/.f64 #s(literal 2 binary64) D)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 d M)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (/.f64 d D)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 2 binary64) M)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (/.f64 #s(literal 2 binary64) M)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 d D)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 d #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (*.f64 D M))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 d (*.f64 D M))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) d) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) D) M))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 2 binary64)) (/.f64 (*.f64 D M) (/.f64 d (*.f64 D M))))
(*.f64 (/.f64 (/.f64 D d) (*.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 #s(literal 1 binary64) (*.f64 D M))))
(*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 #s(literal 2 binary64) (*.f64 D M))))
(*.f64 (/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) D)) (/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 d M)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 d M)) (/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) D)))
(*.f64 (/.f64 (/.f64 D d) (/.f64 d M)) (/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 #s(literal 2 binary64) D)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 #s(literal 2 binary64) D)) (/.f64 (/.f64 D d) (/.f64 d M)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 d #s(literal 2 binary64))) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) (*.f64 D M))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 2 binary64)) (/.f64 (/.f64 D d) (/.f64 d (*.f64 D M))))
(*.f64 (/.f64 (*.f64 (neg.f64 M) D) (/.f64 d M)) (/.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 #s(literal 2 binary64) D)))
(*.f64 (/.f64 (*.f64 (neg.f64 M) D) (/.f64 #s(literal 2 binary64) D)) (/.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 d M)))
(*.f64 (/.f64 (*.f64 (neg.f64 M) D) (/.f64 d D)) (/.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 #s(literal 2 binary64) M)))
(*.f64 (/.f64 (*.f64 (neg.f64 M) D) (/.f64 #s(literal 2 binary64) M)) (/.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 d D)))
(*.f64 (/.f64 (*.f64 (neg.f64 M) D) d) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 M) D) d) (/.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 #s(literal 2 binary64) (*.f64 D M))))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 2 binary64) D)) (/.f64 M d))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 d M)) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 2 binary64) D)) (/.f64 (*.f64 D M) (/.f64 d M)))
(*.f64 (/.f64 (*.f64 D M) (/.f64 d M)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 2 binary64) D)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d M)) (/.f64 (*.f64 D M) (/.f64 #s(literal 2 binary64) D)))
(*.f64 (/.f64 (*.f64 D M) (/.f64 #s(literal 2 binary64) D)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d M)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 2 binary64) M)) (/.f64 (*.f64 D M) (/.f64 d D)))
(*.f64 (/.f64 (*.f64 D M) (/.f64 d D)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 2 binary64) M)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d D)) (/.f64 (*.f64 D M) (/.f64 #s(literal 2 binary64) M)))
(*.f64 (/.f64 (*.f64 D M) (/.f64 #s(literal 2 binary64) M)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 d D)))
(*.f64 (/.f64 D (/.f64 d M)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (/.f64 #s(literal 2 binary64) D)))
(*.f64 (/.f64 D (/.f64 #s(literal 2 binary64) D)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (/.f64 d M)))
(*.f64 (/.f64 D (/.f64 d D)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (/.f64 #s(literal 2 binary64) M)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (/.f64 #s(literal 2 binary64) D)) (/.f64 M (/.f64 d M)))
(*.f64 (/.f64 M (/.f64 d M)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (/.f64 #s(literal 2 binary64) D)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (/.f64 d M)) (/.f64 M (/.f64 #s(literal 2 binary64) D)))
(*.f64 (/.f64 M (/.f64 #s(literal 2 binary64) D)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (/.f64 d M)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (/.f64 #s(literal 2 binary64) M)) (*.f64 (/.f64 D d) M))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (/.f64 d D)) (/.f64 M (/.f64 #s(literal 2 binary64) M)))
(*.f64 (/.f64 M (/.f64 #s(literal 2 binary64) M)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (/.f64 d D)))
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 D d))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 D M) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (pow.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 D M) D) M) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 D d) (/.f64 D d)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 M M) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) D) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64)))
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(*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D))
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 (neg.f64 M) D))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) #s(literal 1 binary64)))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 M d))
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 M d) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (neg.f64 M) (*.f64 D (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 (neg.f64 M) (/.f64 D (*.f64 #s(literal -2 binary64) d)))
(*.f64 (neg.f64 D) (/.f64 M (*.f64 #s(literal -2 binary64) d)))
(*.f64 (neg.f64 D) (*.f64 M (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 M #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 D M)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 D M))
(*.f64 (/.f64 D d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)))
(*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M))
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 (/.f64 D d) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 D d))
(*.f64 (*.f64 (neg.f64 M) D) (*.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 M) D) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D d) M))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(*.f64 (*.f64 D M) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 D (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) #s(literal 1 binary64)))
(*.f64 D (*.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 #s(literal 1 binary64) d)))
(*.f64 D (*.f64 (neg.f64 M) (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 D (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 #s(literal 1/2 binary64) M)))
(*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(*.f64 M (*.f64 #s(literal 1/2 binary64) (/.f64 D d)))
(*.f64 M (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))
(*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) D))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) (/.f64 #s(literal 1 binary64) d)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 D d) (neg.f64 M)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 D M)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 M #s(literal 1 binary64)) (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 (*.f64 (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 #s(literal 1 binary64) M) (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) #s(literal -1 binary64)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal -2 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D))) (exp.f64 (log.f64 d)))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d))))
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (*.f64 d #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 2 binary64) (*.f64 D M)))
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M))
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 D M))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) d)
(/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) (*.f64 D M)))
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 d D))
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d))
(/.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D M)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)))
(/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64)))
(/.f64 M (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) d)) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))

eval269.0ms (1.6%)

Memory
2.5MiB live, 238.3MiB allocated
Compiler

Compiled 31 317 to 4 367 computations (86.1% saved)

prune423.0ms (2.5%)

Memory
-22.2MiB live, 460.9MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New990161 006
Fresh000
Picked101
Done000
Total991161 007
Accuracy
90.4%
Counts
1 007 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.6%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))) w0)
▶89.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
▶72.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
78.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
87.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
60.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
76.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
64.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) l) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1/2 binary64) d)) (/.f64 #s(literal 1 binary64) h))))))
▶69.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))))
81.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) (/.f64 #s(literal 1 binary64) h))))))
71.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)))))
▶48.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
14.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
47.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
▶67.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
48.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
Compiler

Compiled 890 to 578 computations (35.1% saved)

simplify118.0ms (0.7%)

Memory
6.2MiB live, 200.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))
cost-diff384
(*.f64 (/.f64 D d) (/.f64 D d))
cost-diff384
(*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))
cost-diff1088
(/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff384
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
cost-diff512
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
cost-diff0
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
cost-diff384
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l)
cost-diff384
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
cost-diff1088
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h))
Rules
6 600×lower-*.f32
6 562×lower-*.f64
3 994×lower-/.f32
3 974×lower-/.f64
2 660×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061583
0103577
1211565
2665558
33864558
47269558
08270558
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l)
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (*.f64 D M) #s(literal -1/2 binary64))
(*.f64 D M)
D
M
#s(literal -1/2 binary64)
d
l
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(literal 1 binary64)
h
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(*.f64 M M)
M
(/.f64 h (*.f64 l (*.f64 d d)))
h
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 D d)
D
d
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l)
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
l
(/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))
(*.f64 (/.f64 D d) (/.f64 D d))
(/.f64 D d)
D
d
(/.f64 #s(literal 1 binary64) h)
h
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 h (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l)
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) (*.f64 M D))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d)
(*.f64 (*.f64 D M) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 M D))
(*.f64 D M)
(*.f64 M D)
D
M
#s(literal -1/2 binary64)
d
l
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h))
(*.f64 h (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(literal 1 binary64)
h
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 D D) M) M) #s(literal 1 binary64)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 D D) M) M) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 D D) M) M) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 D D) M) M) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)
(*.f64 M M)
M
(/.f64 h (*.f64 l (*.f64 d d)))
(/.f64 h (*.f64 (*.f64 d d) l))
h
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 D (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 D (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 D (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) h) (/.f64 D (*.f64 l d)))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 D d)) M) M)
(/.f64 D d)
D
d
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 M M))
(*.f64 M M)
M
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 (sqrt.f64 (fma.f64 D (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))))
(sqrt.f64 (fma.f64 D (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 D (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) D) (*.f64 (*.f64 d d) l)) h)
(/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l)
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l)
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 M M))
(*.f64 M M)
M
#s(literal 1/4 binary64)
l
(/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))
(*.f64 (*.f64 h D) (/.f64 D (*.f64 d d)))
(*.f64 (/.f64 D d) (/.f64 D d))
(*.f64 (/.f64 D (*.f64 d d)) D)
(/.f64 D d)
D
d
(/.f64 #s(literal 1 binary64) h)
h

localize167.0ms (1%)

Memory
-13.9MiB live, 347.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy6.744070520104374
(/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))
accuracy6.754794703332697
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))))
accuracy7.867581585243644
(/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l)
accuracy14.361485300500272
(*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))
accuracy1.703007616127667
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
accuracy6.754794703332697
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
accuracy9.733475937065707
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy11.324882813892717
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
accuracy6.184678122499755
(*.f64 l (*.f64 d d))
accuracy6.754794703332697
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
accuracy13.595688039462459
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
accuracy16.122480826095927
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
accuracy1.4392994813923576
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy20.724593776609485
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy4.561032592351056
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l)
accuracy4.9182557276510535
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
accuracy6.754794703332697
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
accuracy7.912177262775989
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
Samples
122.0ms256×0valid
Compiler

Compiled 531 to 62 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 37.0ms (46.8% of total)
ival-div: 26.0ms (32.9% of total)
ival-sqrt: 6.0ms (7.6% of total)
ival-add: 3.0ms (3.8% of total)
ival-sub: 2.0ms (2.5% of total)
ival-pow2: 2.0ms (2.5% of total)
exact: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series181.0ms (1.1%)

Memory
11.2MiB live, 450.7MiB allocated
Counts
26 → 1 368
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (patch (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (patch (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))) (patch (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 D d) (/.f64 D d)) (patch (*.f64 (/.f64 D d) (/.f64 D d)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (patch (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (patch (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) 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 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
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Calls

18 calls:

TimeVariablePointExpression
10.0ms
h
@inf
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (/ (/ (* (* D M) -1/2) d) l) (* w0 (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 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 (* l (* d d))))) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (/ (* (/ D d) (/ D d)) (/ 1 h)) (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h))) (* (/ D d) (/ D d)) (- 1 (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h)))) (* (* (/ 1/2 d) M) D) (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1)) (/ (* (* D M) -1/2) d) (* (* M M) (/ h (* l (* d d)))) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (/ (* (* M M) 1/4) l) (sqrt (- 1 (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h))))))
7.0ms
D
@-inf
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (/ (/ (* (* D M) -1/2) d) l) (* w0 (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 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 (* l (* d d))))) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (/ (* (/ D d) (/ D d)) (/ 1 h)) (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h))) (* (/ D d) (/ D d)) (- 1 (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h)))) (* (* (/ 1/2 d) M) D) (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1)) (/ (* (* D M) -1/2) d) (* (* M M) (/ h (* l (* d d)))) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (/ (* (* M M) 1/4) l) (sqrt (- 1 (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h))))))
7.0ms
h
@0
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (/ (/ (* (* D M) -1/2) d) l) (* w0 (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 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 (* l (* d d))))) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (/ (* (/ D d) (/ D d)) (/ 1 h)) (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h))) (* (/ D d) (/ D d)) (- 1 (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h)))) (* (* (/ 1/2 d) M) D) (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1)) (/ (* (* D M) -1/2) d) (* (* M M) (/ h (* l (* d d)))) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (/ (* (* M M) 1/4) l) (sqrt (- 1 (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h))))))
6.0ms
d
@inf
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (/ (/ (* (* D M) -1/2) d) l) (* w0 (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 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 (* l (* d d))))) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (/ (* (/ D d) (/ D d)) (/ 1 h)) (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h))) (* (/ D d) (/ D d)) (- 1 (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h)))) (* (* (/ 1/2 d) M) D) (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1)) (/ (* (* D M) -1/2) d) (* (* M M) (/ h (* l (* d d)))) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (/ (* (* M M) 1/4) l) (sqrt (- 1 (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h))))))
6.0ms
D
@0
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (/ (/ (* (* D M) -1/2) d) l) (* w0 (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 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 (* l (* d d))))) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (/ (* (/ D d) (/ D d)) (/ 1 h)) (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h))) (* (/ D d) (/ D d)) (- 1 (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h)))) (* (* (/ 1/2 d) M) D) (sqrt (+ (* (/ (/ (* (* D M) -1/2) d) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1)) (/ (* (* D M) -1/2) d) (* (* M M) (/ h (* l (* d d)))) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (/ (* (* M M) 1/4) l) (sqrt (- 1 (* (/ (* (* M M) 1/4) l) (/ (* (/ D d) (/ D d)) (/ 1 h))))))

simplify249.0ms (1.5%)

Memory
-1.5MiB live, 469.1MiB allocated
Algorithm
1×egg-herbie
Rules
10 432×lower-*.f64
10 432×lower-*.f32
8 468×lower-fma.f64
8 468×lower-fma.f32
2 730×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066133905
1228233638
0817432642
Stop Event
1×iter limit
1×node limit
Counts
1 368 → 1 340
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
1
(+ 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)))))))))
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)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 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)))))))))
(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (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
(+ 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 (* -1/8 (/ (* (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)))))))))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
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))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* -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)))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* (/ (* 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))))))))
(* (/ (* 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)))))
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1
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1
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w0
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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
(+ 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 l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
1
(+ 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)))))))
(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (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)))
(/ (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
(+ 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
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
1
(+ 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)))))))
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 h h) (*.f64 (pow.f64 M #s(literal 6 binary64)) h))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))))) #s(literal 1 binary64))
(/ (* (pow D 2) h) (pow d 2))
(*.f64 (*.f64 D D) (/.f64 h (*.f64 d d)))
(/ (* (pow D 2) h) (pow d 2))
(*.f64 (*.f64 D D) (/.f64 h (*.f64 d d)))
(/ (* (pow D 2) h) (pow d 2))
(*.f64 (*.f64 D D) (/.f64 h (*.f64 d d)))
(/ (* (pow D 2) h) (pow d 2))
(*.f64 (*.f64 D D) (/.f64 h (*.f64 d d)))
(* 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 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* 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 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* 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 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* 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 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(/ (pow D 2) (pow d 2))
(/.f64 (*.f64 D D) (*.f64 d d))
(/ (pow D 2) (pow d 2))
(/.f64 (*.f64 D D) (*.f64 d d))
(/ (pow D 2) (pow d 2))
(/.f64 (*.f64 D D) (*.f64 d d))
(/ (pow D 2) (pow d 2))
(/.f64 (*.f64 D D) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 h h) (*.f64 (pow.f64 M #s(literal 6 binary64)) h))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))))) #s(literal 1 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 h h) (*.f64 (pow.f64 M #s(literal 6 binary64)) h))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))))) #s(literal 1 binary64))

rewrite191.0ms (1.1%)

Memory
28.2MiB live, 429.6MiB allocated
Rules
3 688×lower-/.f32
3 668×lower-/.f64
3 552×lower-*.f32
3 516×lower-*.f64
2 278×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060453
0101449
1351405
22968390
08400386
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 969
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))
(*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 D d) (/.f64 D d))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(*.f64 l (*.f64 d d))
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal -1 binary64)) (*.f64 D h))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal -1 binary64)) (neg.f64 h))
(*.f64 (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64)) (*.f64 D h))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) (/.f64 (*.f64 D M) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 D #s(literal 1 binary64)) (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) h)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) h)))
(*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
(*.f64 D (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) h))
(*.f64 D (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D h))
(*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 D h)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) h))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 M (*.f64 D h)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 D M) (/.f64 #s(literal 1 binary64) h)))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 D M))) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (neg.f64 (*.f64 d (/.f64 #s(literal 1 binary64) h))))
(/.f64 (neg.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d)
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (*.f64 d (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M)))))
(/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)) (/.f64 #s(literal -1 binary64) h))
(/.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M))))
(neg.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 #s(literal -1 binary64) h)))
(exp.f64 (-.f64 (log.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (*.f64 (log.f64 h) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M)))) #s(literal -1 binary64)))
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(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h)) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h))))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h)) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) (*.f64 h h)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h) #s(literal 1 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) h))) #s(literal 1/2 binary64)))

eval297.0ms (1.8%)

Memory
7.0MiB live, 697.3MiB allocated
Compiler

Compiled 79 308 to 4 481 computations (94.3% saved)

prune583.0ms (3.4%)

Memory
-4.6MiB live, 1 220.6MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New2 295142 309
Fresh7411
Picked415
Done000
Total2 306192 325
Accuracy
90.8%
Counts
2 325 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) h)) #s(literal 1 binary64))))
79.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 D h))) #s(literal 1 binary64))))
77.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
▶89.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
78.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
76.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
72.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
▶65.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
▶75.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
77.1%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
60.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
70.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
54.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
▶50.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
14.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
12.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
47.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
✓67.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶48.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
Compiler

Compiled 1 024 to 670 computations (34.6% saved)

simplify141.0ms (0.8%)

Memory
-14.2MiB live, 142.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
cost-diff384
(fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h)
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
cost-diff384
(fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))
cost-diff0
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
cost-diff0
(*.f64 D D)
cost-diff0
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
cost-diff384
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l)
cost-diff384
(fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
cost-diff1088
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h))
Rules
6 888×lower-*.f32
6 836×lower-*.f64
4 150×lower-/.f32
4 130×lower-/.f64
1 706×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069629
0120637
1254621
2847621
34245621
45852621
56891621
67959621
08047621
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l)
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))
D
(/.f64 (*.f64 #s(literal -1/2 binary64) M) d)
(*.f64 #s(literal -1/2 binary64) M)
#s(literal -1/2 binary64)
M
d
l
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(literal 1 binary64)
h
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 h (*.f64 M M)) w0)
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
w0
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d))))
(*.f64 M M)
M
(/.f64 h (*.f64 d (*.f64 l d)))
h
(*.f64 d (*.f64 l d))
d
(*.f64 l d)
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))
(*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h)
(*.f64 D (/.f64 D (*.f64 d d)))
D
(/.f64 D (*.f64 d d))
(*.f64 d d)
d
h
(/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l)
(*.f64 (*.f64 M M) #s(literal -1/4 binary64))
(*.f64 M M)
M
#s(literal -1/4 binary64)
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))
(*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 D h)
D
h
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
M
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
(*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d)))
(*.f64 D M)
(/.f64 #s(literal -1/2 binary64) (*.f64 l d))
#s(literal -1/2 binary64)
(*.f64 l d)
l
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M)
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))
(*.f64 (/.f64 (*.f64 M #s(literal -1/2 binary64)) d) D)
D
(/.f64 (*.f64 #s(literal -1/2 binary64) M) d)
(/.f64 (*.f64 M #s(literal -1/2 binary64)) d)
(*.f64 #s(literal -1/2 binary64) M)
(*.f64 M #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
M
d
l
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h))
(*.f64 (*.f64 h (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M D))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(literal 1 binary64)
h
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M))
(*.f64 (*.f64 h (*.f64 M M)) w0)
(*.f64 (*.f64 (*.f64 M M) h) w0)
(*.f64 h (*.f64 M M))
(*.f64 (*.f64 M M) h)
h
(*.f64 M M)
M
w0
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d))))
(*.f64 (/.f64 M (*.f64 (*.f64 d d) l)) (*.f64 h M))
(*.f64 M M)
M
(/.f64 h (*.f64 d (*.f64 l d)))
(/.f64 h (*.f64 (*.f64 d d) l))
h
(*.f64 d (*.f64 l d))
(*.f64 (*.f64 d d) l)
d
(*.f64 l d)
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) #s(literal -1/4 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 D D) M) (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h)
(*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) h)
(*.f64 D (/.f64 D (*.f64 d d)))
(*.f64 (/.f64 D (*.f64 d d)) D)
D
(/.f64 D (*.f64 d d))
(*.f64 d d)
d
h
(/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l)
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) l)
(*.f64 (*.f64 M M) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 M M))
(*.f64 M M)
M
#s(literal -1/4 binary64)
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) h) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (*.f64 h (/.f64 #s(literal 1/2 binary64) d)) (*.f64 M D))
(*.f64 D h)
(*.f64 h D)
D
h
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
M
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
(*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M)
(*.f64 D M)
(*.f64 M D)
(/.f64 #s(literal -1/2 binary64) (*.f64 l d))
#s(literal -1/2 binary64)
(*.f64 l d)
l
#s(literal 1 binary64)

localize186.0ms (1.1%)

Memory
-0.2MiB live, 313.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.4392994813923576
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
accuracy6.754794703332697
(sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))
accuracy10.444661644447404
(*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
accuracy10.99131076158138
(*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d)))
accuracy6.754794703332697
(sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64)))
accuracy7.867581585243644
(/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l)
accuracy8.443606138941766
(/.f64 D (*.f64 d d))
accuracy9.371315405319129
(fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))
accuracy5.9009287613019605
(/.f64 h (*.f64 d (*.f64 l d)))
accuracy6.754794703332697
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))))
accuracy13.595688039462459
(*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d))))
accuracy16.122480826095927
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))
accuracy8.893336365811873
(*.f64 h (*.f64 M M))
accuracy11.16291476182698
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
accuracy12.794903861802519
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
accuracy15.762089853498289
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
accuracy4.561032592351056
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l)
accuracy6.754794703332697
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
accuracy7.912177262775989
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy7.912177262775989
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))
Samples
128.0ms256×0valid
Compiler

Compiled 564 to 72 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 49.0ms (53.6% of total)
ival-div: 26.0ms (28.4% of total)
ival-sqrt: 7.0ms (7.7% of total)
ival-add: 5.0ms (5.5% of total)
ival-pow2: 2.0ms (2.2% 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)

series188.0ms (1.1%)

Memory
2.1MiB live, 434.9MiB allocated
Counts
30 → 1 512
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (patch (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (patch (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (patch (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #<representation binary64>) () ())
#s(alt (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (patch (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 h (*.f64 M M)) (patch (*.f64 h (*.f64 M M)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) (patch (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #<representation binary64>) () ())
#s(alt (/.f64 h (*.f64 d (*.f64 l d))) (patch (/.f64 h (*.f64 d (*.f64 l d))) #<representation binary64>) () ())
#s(alt (/.f64 D (*.f64 d d)) (patch (/.f64 D (*.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (patch (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) (patch (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #<representation binary64>) () ())
Outputs
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0) #<representation binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0) #<representation binary64>) () ())) ())
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Calls

18 calls:

TimeVariablePointExpression
22.0ms
l
@-inf
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (/ (* D (/ (* -1/2 M) d)) l) (* w0 (sqrt (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* d (* l d))))) 1) (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1) (* w0 (sqrt (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1))) (sqrt (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1)) (* (* D (/ D (* d d))) h) (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1) (* w0 (sqrt (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1))) (sqrt (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1)) (* (* D h) (* M (/ 1/2 d))) (* D (/ (* -1/2 M) d)) (* (* (/ 1/2 d) M) D) (sqrt (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* h (* M M)) (* (* M M) (/ h (* d (* l d)))) (/ h (* d (* l d))) (/ D (* d d)) (/ (* (* M M) -1/4) l) (* (* D M) (/ -1/2 (* l d))))
7.0ms
h
@0
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (/ (* D (/ (* -1/2 M) d)) l) (* w0 (sqrt (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* d (* l d))))) 1) (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1) (* w0 (sqrt (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1))) (sqrt (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1)) (* (* D (/ D (* d d))) h) (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1) (* w0 (sqrt (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1))) (sqrt (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1)) (* (* D h) (* M (/ 1/2 d))) (* D (/ (* -1/2 M) d)) (* (* (/ 1/2 d) M) D) (sqrt (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* h (* M M)) (* (* M M) (/ h (* d (* l d)))) (/ h (* d (* l d))) (/ D (* d d)) (/ (* (* M M) -1/4) l) (* (* D M) (/ -1/2 (* l d))))
7.0ms
M
@inf
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (/ (* D (/ (* -1/2 M) d)) l) (* w0 (sqrt (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* d (* l d))))) 1) (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1) (* w0 (sqrt (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1))) (sqrt (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1)) (* (* D (/ D (* d d))) h) (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1) (* w0 (sqrt (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1))) (sqrt (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1)) (* (* D h) (* M (/ 1/2 d))) (* D (/ (* -1/2 M) d)) (* (* (/ 1/2 d) M) D) (sqrt (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* h (* M M)) (* (* M M) (/ h (* d (* l d)))) (/ h (* d (* l d))) (/ D (* d d)) (/ (* (* M M) -1/4) l) (* (* D M) (/ -1/2 (* l d))))
6.0ms
D
@-inf
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (/ (* D (/ (* -1/2 M) d)) l) (* w0 (sqrt (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* d (* l d))))) 1) (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1) (* w0 (sqrt (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1))) (sqrt (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1)) (* (* D (/ D (* d d))) h) (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1) (* w0 (sqrt (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1))) (sqrt (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1)) (* (* D h) (* M (/ 1/2 d))) (* D (/ (* -1/2 M) d)) (* (* (/ 1/2 d) M) D) (sqrt (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* h (* M M)) (* (* M M) (/ h (* d (* l d)))) (/ h (* d (* l d))) (/ D (* d d)) (/ (* (* M M) -1/4) l) (* (* D M) (/ -1/2 (* l d))))
5.0ms
d
@0
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (/ (* D (/ (* -1/2 M) d)) l) (* w0 (sqrt (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* d (* l d))))) 1) (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1) (* w0 (sqrt (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1))) (sqrt (+ (* (* (* D (/ D (* d d))) h) (/ (* (* M M) -1/4) l)) 1)) (* (* D (/ D (* d d))) h) (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1) (* w0 (sqrt (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1))) (sqrt (+ (* (* (* D h) (* M (/ 1/2 d))) (* (* D M) (/ -1/2 (* l d)))) 1)) (* (* D h) (* M (/ 1/2 d))) (* D (/ (* -1/2 M) d)) (* (* (/ 1/2 d) M) D) (sqrt (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* h (* M M)) (* (* M M) (/ h (* d (* l d)))) (/ h (* d (* l d))) (/ D (* d d)) (/ (* (* M M) -1/4) l) (* (* D M) (/ -1/2 (* l d))))

simplify265.0ms (1.6%)

Memory
25.8MiB live, 459.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 446×lower-*.f64
8 446×lower-*.f32
6 640×lower-fma.f64
6 640×lower-fma.f32
4 620×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068435608
1235135416
0845534339
Stop Event
1×iter limit
1×node limit
Counts
1 512 → 1 470
Calls
Call 1
Inputs
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -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)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
1
(+ 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))))
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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)))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 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))))
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)))))))))
(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (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))))
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))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
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)))))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ h (* (pow d 2) l))
(/ h (* (pow d 2) l))
(/ h (* (pow d 2) l))
(/ h (* (pow d 2) l))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) 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)
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(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ h (* (pow d 2) l))
(/ h (* (pow d 2) l))
(/ h (* (pow d 2) l))
(/ h (* (pow d 2) l))
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(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
1
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(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
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w0
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w0
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w0
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w0
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1
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1
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1
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w0
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1
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(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (pow d 2))
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))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
1
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ h (* (pow d 2) l))
(/ h (* (pow d 2) l))
(/ h (* (pow d 2) l))
(/ h (* (pow d 2) l))
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(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
1
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(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
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w0
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w0
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w0
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w0
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1
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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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(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (pow d 2))
(/ (* (pow D 2) h) (pow d 2))
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1
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w0
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1
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(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
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(* -1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
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1
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
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(* -1/2 (/ (* D M) (* d l)))
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Outputs
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) d)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) d)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(/ (* (pow D 2) h) (pow d 2))
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(/ (* (pow D 2) h) (pow d 2))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 l (*.f64 d d)))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 l (*.f64 d d)))) (*.f64 D D) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 l (*.f64 d d)))) (*.f64 D D) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 h h) h) (pow.f64 M #s(literal 6 binary64)))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l 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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
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(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
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(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) #s(literal -1/128 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 l (*.f64 d d)))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 l (*.f64 d d)))) (*.f64 D D) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 l (*.f64 d d)))) (*.f64 D D) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 h h) h) (pow.f64 M #s(literal 6 binary64)))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))))) #s(literal 1 binary64))
(/ (* (pow D 2) h) (pow d 2))
(*.f64 (*.f64 D D) (/.f64 h (*.f64 d d)))
(/ (* (pow D 2) h) (pow d 2))
(*.f64 (*.f64 D D) (/.f64 h (*.f64 d d)))
(/ (* (pow D 2) h) (pow d 2))
(*.f64 (*.f64 D D) (/.f64 h (*.f64 d d)))
(/ (* (pow D 2) h) (pow d 2))
(*.f64 (*.f64 D D) (/.f64 h (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) #s(literal -1/128 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) D) D (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) w0) (*.f64 (*.f64 h h) h)) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0)) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 l (*.f64 d d)))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 l (*.f64 d d)))) (*.f64 D D) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 l (*.f64 d d)))) (*.f64 D D) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 h h) h) (pow.f64 M #s(literal 6 binary64)))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))))) #s(literal 1 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 l (*.f64 d d)))) (*.f64 D D) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 l (*.f64 d d)))) (*.f64 D D) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 h (*.f64 l (*.f64 d d)))) (*.f64 D D) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 h h) h) (pow.f64 M #s(literal 6 binary64)))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))))) #s(literal 1 binary64))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(/ h (* (pow d 2) l))
(/.f64 h (*.f64 l (*.f64 d d)))
(/ h (* (pow d 2) l))
(/.f64 h (*.f64 l (*.f64 d d)))
(/ h (* (pow d 2) l))
(/.f64 h (*.f64 l (*.f64 d d)))
(/ h (* (pow d 2) l))
(/.f64 h (*.f64 l (*.f64 d d)))
(/ D (pow d 2))
(/.f64 D (*.f64 d d))
(/ D (pow d 2))
(/.f64 D (*.f64 d d))
(/ D (pow d 2))
(/.f64 D (*.f64 d d))
(/ D (pow d 2))
(/.f64 D (*.f64 d d))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 M (*.f64 l d)))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 M (*.f64 l d)))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 M (*.f64 l d)))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 M (*.f64 l d)))

rewrite227.0ms (1.3%)

Memory
0.3MiB live, 396.3MiB allocated
Rules
6 720×lower-*.f32
6 668×lower-*.f64
3 844×lower-/.f32
3 824×lower-/.f64
2 640×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069492
0120496
1418454
23033442
09795438
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
30 → 817
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h))
(fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64)))
(*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h)
(fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))
(*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(*.f64 h (*.f64 M M))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d))))
(/.f64 h (*.f64 d (*.f64 l d)))
(/.f64 D (*.f64 d d))
(/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l)
(*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d)))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal -1 binary64)) (*.f64 h D))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal -1 binary64)) (neg.f64 h))
(*.f64 (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (*.f64 (*.f64 h D) (/.f64 #s(literal 1/2 binary64) d)) M)
(*.f64 (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64)) (*.f64 h D))
(*.f64 (/.f64 D #s(literal 1 binary64)) (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) (/.f64 (*.f64 D M) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) h) D)
(*.f64 (*.f64 (*.f64 h D) M) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 h D))
(*.f64 (*.f64 h D) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(*.f64 h (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) h) D))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) h)
(*.f64 D (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 D (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) h))
(*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 h D)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) h))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 D M) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 D M))) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) h) D) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 h D)) d)
(/.f64 (*.f64 (*.f64 (*.f64 h D) M) #s(literal -1/2 binary64)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) d)
(/.f64 (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64)) d)
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (*.f64 d (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 h D) M) (*.f64 #s(literal 2 binary64) d))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M)))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) (/.f64 #s(literal -1 binary64) h))
(/.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) h) D) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (/.f64 #s(literal 1 binary64) h))
(neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) (/.f64 #s(literal 1 binary64) h)))
(neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (/.f64 #s(literal -1 binary64) h)))
(exp.f64 (-.f64 (log.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (*.f64 (log.f64 h) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D M)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h)) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h)) (*.f64 l l)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h)) (*.f64 l l)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D))) (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal -1 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h)) (*.f64 l l)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h)) (*.f64 l l))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h)) (*.f64 l l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D))) (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h)) (*.f64 l l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h)) (*.f64 l l)))) (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64)) (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D))) (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D))) (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D))) (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D))) (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) h)) (*.f64 l l))) (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (*.f64 (/.f64 D (*.f64 d d)) D)) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (neg.f64 l) d))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) #s(literal 1 binary64)) l)
(/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 l d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1 binary64)) (*.f64 (*.f64 l d) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 D M)) (*.f64 (*.f64 l d) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (neg.f64 l) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (*.f64 l d))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) d)))
(/.f64 (*.f64 D M) (*.f64 (*.f64 l d) #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) l)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l d) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) d))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (neg.f64 l))
(neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l))
(neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) (neg.f64 l)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) d)) #s(literal -1 binary64)))

eval297.0ms (1.8%)

Memory
23.9MiB live, 615.8MiB allocated
Compiler

Compiled 74 789 to 3 681 computations (95.1% saved)

prune1.1s (6.3%)

Memory
-11.6MiB live, 1 298.7MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New2 291142 305
Fresh31013
Picked325
Done011
Total2 297272 324
Accuracy
90.8%
Counts
2 324 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.5%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
79.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 D h))) #s(literal 1 binary64))))
77.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
▶80.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))))
78.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
76.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
72.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
✓65.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
75.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))
77.1%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
▶80.3%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
60.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
70.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
54.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
61.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
▶55.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
✓50.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
14.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
▶12.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
✓67.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
53.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
58.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
52.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
49.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
64.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
64.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
▶10.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
Compiler

Compiled 1 407 to 904 computations (35.7% saved)

simplify151.0ms (0.9%)

Memory
21.4MiB live, 169.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
cost-diff384
(*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l))
cost-diff0
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))
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 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))
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 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
cost-diff0
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
cost-diff0
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))
cost-diff0
#s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))))
cost-diff384
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l)
cost-diff384
(fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))
Rules
5 630×lower-*.f32
5 574×lower-*.f64
4 364×lower-/.f32
4 346×lower-/.f64
2 276×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084785
0131785
1274785
2857785
32847785
44587785
55951785
66812785
77506785
08026783
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l)
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))
D
(/.f64 (*.f64 #s(literal -1/2 binary64) M) d)
(*.f64 #s(literal -1/2 binary64) M)
#s(literal -1/2 binary64)
M
d
l
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
(*.f64 (*.f64 h D) M)
(*.f64 h D)
h
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
#s(literal -1/8 binary64)
(*.f64 D D)
D
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 h (*.f64 M M)) w0)
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
w0
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
(*.f64 D D)
D
#s(literal -1/4 binary64)
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(*.f64 M M)
M
(/.f64 h (*.f64 l (*.f64 d d)))
h
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l))
(/.f64 (*.f64 h M) (*.f64 d d))
(*.f64 h M)
h
M
(*.f64 d d)
d
(/.f64 M l)
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))
#s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(/.f64 (*.f64 (*.f64 h M) D) d)
(*.f64 (*.f64 h M) D)
(*.f64 h M)
h
M
D
d
#s(literal 1/2 binary64)
(*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d)))
(*.f64 D M)
(/.f64 #s(literal -1/2 binary64) (*.f64 l d))
#s(literal -1/2 binary64)
(*.f64 l d)
l
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 h M)) D #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 h M)) D #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 d d) l)) (*.f64 h M)) D #s(literal 1 binary64))
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M)
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))
(*.f64 (/.f64 (*.f64 M #s(literal -1/2 binary64)) d) D)
D
(/.f64 (*.f64 #s(literal -1/2 binary64) M) d)
(/.f64 (*.f64 M #s(literal -1/2 binary64)) d)
(*.f64 #s(literal -1/2 binary64) M)
(*.f64 M #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
M
d
l
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) h)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
(*.f64 (*.f64 h D) M)
(*.f64 h D)
h
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 M M) h))))
#s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))
#s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 M M) h)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))
(*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 M M) h))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 D D)
D
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M))
(*.f64 (*.f64 h (*.f64 M M)) w0)
(*.f64 (*.f64 (*.f64 M M) h) w0)
(*.f64 h (*.f64 M M))
(*.f64 (*.f64 M M) h)
h
(*.f64 M M)
M
w0
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M))
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
(*.f64 D D)
D
#s(literal -1/4 binary64)
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(*.f64 (/.f64 M (*.f64 (*.f64 d d) l)) (*.f64 h M))
(*.f64 M M)
M
(/.f64 h (*.f64 l (*.f64 d d)))
(/.f64 h (*.f64 (*.f64 d d) l))
h
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l))
(*.f64 (/.f64 M (*.f64 (*.f64 d d) l)) (*.f64 h M))
(/.f64 (*.f64 h M) (*.f64 d d))
(*.f64 (/.f64 h (*.f64 d d)) M)
(*.f64 h M)
h
M
(*.f64 d d)
d
(/.f64 M l)
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) h)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) h)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))
(fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) h)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M) #s(literal 1 binary64))
#s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)))
#s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) h))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) h)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/.f64 (*.f64 (*.f64 h D) M) d)
(*.f64 (*.f64 h M) D)
(*.f64 (*.f64 h D) M)
(*.f64 h M)
h
M
D
d
#s(literal 1/2 binary64)
(*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M)
(*.f64 D M)
(*.f64 M D)
(/.f64 #s(literal -1/2 binary64) (*.f64 l d))
#s(literal -1/2 binary64)
(*.f64 l d)
l
#s(literal 1 binary64)

localize204.0ms (1.2%)

Memory
-2.5MiB live, 354.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.1442124435449195
(*.f64 (*.f64 h M) D)
accuracy5.887519789009692
(/.f64 (*.f64 (*.f64 h M) D) d)
accuracy6.754794703332697
(sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))
accuracy10.99131076158138
(*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d)))
accuracy6.754794703332697
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))))
accuracy6.836194522890285
(*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l))
accuracy10.955497849731989
(/.f64 (*.f64 h M) (*.f64 d d))
accuracy16.122480826095927
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))
accuracy6.754794703332697
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))
accuracy13.595688039462459
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
accuracy19.36795364394865
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
accuracy41.1791939621143
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))
accuracy11.16291476182698
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
accuracy12.794903861802519
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
accuracy18.17102507405638
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))
accuracy40.855709287833456
#s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))
accuracy5.126593634606835
(*.f64 (*.f64 h D) M)
accuracy5.972320900315781
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M))
accuracy6.754794703332697
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))
accuracy7.912177262775989
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))
Samples
151.0ms256×0valid
Compiler

Compiled 581 to 72 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 69.0ms (68.1% of total)
ival-div: 19.0ms (18.7% of total)
ival-sqrt: 5.0ms (4.9% of total)
ival-add: 4.0ms (3.9% of total)
ival-pow2: 2.0ms (2% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series181.0ms (1.1%)

Memory
13.3MiB live, 325.1MiB allocated
Counts
30 → 1 656
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (patch (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))) (patch #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))) (patch (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (patch (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))) (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 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))) #<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 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))) (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 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))) #<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 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))) (patch (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) (patch (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (patch #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (patch (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 h D) M) (patch (*.f64 (*.f64 h D) M) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (patch (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 h M) (*.f64 d d)) (patch (/.f64 (*.f64 h M) (*.f64 d d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) (patch (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 h M) D) d) (patch (/.f64 (*.f64 (*.f64 h M) D) d) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 h M) D) (patch (*.f64 (*.f64 h M) 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 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #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 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #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 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #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 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) #<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) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))) (patch #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))) #<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) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))) (patch #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))) #<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) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))) (patch #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))) #<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) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))) (patch #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (taylor 0 w0) (#s(alt (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))) (patch (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (taylor 0 w0) (#s(alt (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))) (patch (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (taylor 0 w0) (#s(alt (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))) (patch (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (taylor 0 w0) (#s(alt (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))) (patch (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))) (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 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))) (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 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* D (* M h)) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h M) D) d) (patch (/.f64 (*.f64 (*.f64 h M) D) d) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M h)) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h M) D) d) (patch (/.f64 (*.f64 (*.f64 h M) D) d) #<representation binary64>) () ())) ())
Calls

18 calls:

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

simplify357.0ms (2.1%)

Memory
-13.7MiB live, 360.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 426×lower-*.f64
8 426×lower-*.f32
6 640×lower-fma.f64
6 640×lower-fma.f32
4 610×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067938191
1234237999
0843536922
Stop Event
1×iter limit
1×node limit
Counts
1 656 → 1 614
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)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* 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)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -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 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 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
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)))))))))
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 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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1
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w0
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1
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1
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w0
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1
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1
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1
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1
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1
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1
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1
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1
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w0
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1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
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))))
(/ (* M h) (pow d 2))
(/ (* M h) (pow d 2))
(/ (* M h) (pow d 2))
(/ (* M h) (pow d 2))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
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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)))))))
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))))
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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))))
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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)))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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1
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1
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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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(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
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))))
(/ (* M h) (pow d 2))
(/ (* M h) (pow d 2))
(/ (* M h) (pow d 2))
(/ (* M h) (pow d 2))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
(/ (* D (* M h)) d)
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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(* -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)))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(/ (* (pow M 2) h) (* (pow d 2) l))
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(/ (* (pow M 2) h) (* (pow d 2) l))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* 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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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -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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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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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))) (* (pow d 2) l)))
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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))) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))
(* -1/8 (pow D 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(* -1/8 (pow D 2))
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(* -1/8 (pow D 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(* -1/8 (pow D 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) d)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
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(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) #s(literal -1/128 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) D) D (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) w0) (*.f64 (*.f64 h h) h)) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0)) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 h h) h) (pow.f64 M #s(literal 6 binary64)))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l 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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(/ (* M h) (pow d 2))
(*.f64 M (/.f64 h (*.f64 d d)))
(/ (* M h) (pow d 2))
(*.f64 M (/.f64 h (*.f64 d d)))
(/ (* M h) (pow d 2))
(*.f64 M (/.f64 h (*.f64 d d)))
(/ (* M h) (pow d 2))
(*.f64 M (/.f64 h (*.f64 d d)))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 M (*.f64 l d)))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 M (*.f64 l d)))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 M (*.f64 l d)))
(* -1/2 (/ (* D M) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 M (*.f64 l d)))
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)

rewrite197.0ms (1.2%)

Memory
9.9MiB live, 312.7MiB allocated
Rules
4 724×lower-*.f32
4 668×lower-*.f64
3 930×lower-/.f32
3 912×lower-/.f64
2 652×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084639
0131639
1419639
22766627
08167621
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
30 → 904
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))
#s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)))
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M))
(*.f64 (*.f64 h D) M)
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64))
(/.f64 (*.f64 h M) (*.f64 d d))
(*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d)))
(/.f64 (*.f64 (*.f64 h M) D) d)
(*.f64 (*.f64 h M) D)
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64))) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64))) (*.f64 d d))) (*.f64 l l)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M))) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64))) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64))) (*.f64 d d))) (*.f64 l l)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M) #s(literal -1 binary64)) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64))) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64))) (*.f64 d d))) (*.f64 l l)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M))) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64))) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64))) (*.f64 d d))) (*.f64 l l))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64))) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64))) (*.f64 d d))) (*.f64 l l)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) D) M)))))
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(/.f64 (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1 binary64)) d)
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 h M))) (neg.f64 (neg.f64 d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 (*.f64 h D) M))))
(/.f64 (*.f64 (neg.f64 D) (*.f64 h M)) (neg.f64 d))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 (*.f64 h D) M)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 h D) M)))
(/.f64 (*.f64 (*.f64 h D) M) d)
(neg.f64 (/.f64 (*.f64 (neg.f64 D) (*.f64 h M)) d))
(neg.f64 (/.f64 (*.f64 (*.f64 h D) M) (neg.f64 d)))
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 (*.f64 h D) M))) #s(literal -1 binary64)))
(*.f64 (*.f64 M D) h)
(*.f64 (*.f64 h M) D)
(*.f64 (*.f64 h D) M)
(*.f64 h (*.f64 M D))
(*.f64 M (*.f64 h D))
(*.f64 D (*.f64 h M))

eval629.0ms (3.7%)

Memory
-48.3MiB live, 613.3MiB allocated
Compiler

Compiled 76 467 to 4 096 computations (94.6% saved)

prune1.2s (7.3%)

Memory
-15.7MiB live, 1 675.4MiB allocated
Pruning

30 alts after pruning (23 fresh and 7 done)

PrunedKeptTotal
New2 505132 518
Fresh91019
Picked055
Done123
Total2 515302 545
Accuracy
90.8%
Counts
2 545 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.5%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
77.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
✓80.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))))
78.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
76.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
72.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
75.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))
77.1%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
✓80.3%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
60.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
✓55.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
✓50.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
14.9%
(*.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 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
15.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
14.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
16.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
10.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h l))))))
17.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (/.f64 M l)))))))
✓12.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
14.3%
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
✓67.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
64.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
11.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
11.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
11.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
12.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
✓10.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
11.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
13.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
13.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
Compiler

Compiled 2 084 to 859 computations (58.8% saved)

regimes276.0ms (1.6%)

Memory
32.2MiB live, 424.7MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (/.f64 M l)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 D h))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) h)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) l) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1/2 binary64) 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)))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
Calls

15 calls:

22.0ms
h
21.0ms
M
20.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
20.0ms
l
20.0ms
(-.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
89.5%1w0
89.5%1M
89.5%1D
89.5%1h
89.5%1l
89.5%1d
89.5%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
89.5%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
89.5%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
89.5%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
89.5%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
89.5%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
89.5%1(*.f64 M D)
89.5%1(*.f64 #s(literal 2 binary64) d)
89.5%1(/.f64 h l)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes483.0ms (2.9%)

Memory
-36.7MiB live, 286.6MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (/.f64 M l)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 D h))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) h)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) h)) #s(literal 1 binary64))))
Calls

15 calls:

118.0ms
(*.f64 M D)
51.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
45.0ms
l
35.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
34.0ms
(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
87.3%1w0
87.3%1h
87.3%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
89.2%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
89.1%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))))
89.1%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)))
87.3%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
87.3%1M
87.3%1l
87.3%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
87.3%1(*.f64 M D)
89.1%2(/.f64 h l)
87.3%1D
87.3%1d
87.3%1(*.f64 #s(literal 2 binary64) d)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes424.0ms (2.5%)

Memory
18.0MiB live, 251.7MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (/.f64 M l)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 D h))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))))
Calls

15 calls:

121.0ms
h
59.0ms
(*.f64 M D)
53.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
27.0ms
w0
20.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
83.0%2w0
86.1%3M
85.5%2D
86.9%4h
86.3%2d
87.8%3(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
86.3%2(*.f64 #s(literal 2 binary64) d)
84.7%2l
87.0%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
88.1%3(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.6%3(*.f64 M D)
88.8%4(/.f64 h l)
88.3%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))))
88.3%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)))
88.3%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)))))
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes56.0ms (0.3%)

Memory
13.8MiB live, 53.9MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (/.f64 M l)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
Calls

4 calls:

17.0ms
(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))))
13.0ms
(*.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)))))
11.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
11.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Results
AccuracySegmentsBranch
86.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.7%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
86.7%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))))
86.7%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Compiler

Compiled 86 to 61 computations (29.1% saved)

regimes317.0ms (1.9%)

Memory
-2.7MiB live, 154.5MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (/.f64 M l)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))
Calls

10 calls:

92.0ms
(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))))
77.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
51.0ms
(*.f64 #s(literal 2 binary64) d)
19.0ms
(/.f64 h l)
13.0ms
D
Results
AccuracySegmentsBranch
83.4%2D
87.7%4(/.f64 h l)
86.6%3(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
84.8%3d
84.8%3(*.f64 #s(literal 2 binary64) d)
87.0%3(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
85.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
85.1%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)))))
85.1%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))))
85.1%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)))
Compiler

Compiled 146 to 109 computations (25.3% saved)

regimes169.0ms (1%)

Memory
10.9MiB live, 237.0MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (/.f64 M l)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))
Calls

10 calls:

35.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
24.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
16.0ms
(*.f64 M D)
15.0ms
l
15.0ms
(/.f64 h l)
Results
AccuracySegmentsBranch
82.6%2(/.f64 h l)
85.7%3M
80.3%1l
83.6%2(*.f64 M D)
84.4%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
84.7%3(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
81.9%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
83.7%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
83.7%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)))
84.4%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Compiler

Compiled 146 to 108 computations (26% saved)

regimes26.0ms (0.2%)

Memory
12.6MiB live, 51.3MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (/.f64 M l)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))
Calls

2 calls:

12.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
11.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
84.3%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
84.3%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Compiler

Compiled 28 to 21 computations (25% saved)

regimes39.0ms (0.2%)

Memory
-25.7MiB live, 62.1MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (/.f64 M l)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64))))
Calls

3 calls:

14.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
13.0ms
M
10.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
83.0%2M
83.9%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
83.9%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes142.0ms (0.8%)

Memory
6.6MiB live, 241.2MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (/.f64 M l)))))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))
Calls

12 calls:

13.0ms
(*.f64 M D)
13.0ms
(*.f64 #s(literal 2 binary64) d)
13.0ms
M
12.0ms
d
12.0ms
h
Results
AccuracySegmentsBranch
81.7%2M
77.9%1w0
82.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
82.0%2d
82.0%2(*.f64 #s(literal 2 binary64) d)
83.6%3D
84.4%3(*.f64 M D)
82.1%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))))
82.1%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)))
77.9%1h
83.7%3(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
83.7%3(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Compiler

Compiled 143 to 110 computations (23.1% saved)

regimes57.0ms (0.3%)

Memory
-7.8MiB live, 36.6MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) D) M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) M) (*.f64 #s(literal 1/4 binary64) M)) (/.f64 D d) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
Calls

2 calls:

45.0ms
(/.f64 h l)
10.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
82.8%3(/.f64 h l)
82.3%2(*.f64 M D)
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes158.0ms (0.9%)

Memory
21.5MiB live, 253.0MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) h) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
Calls

13 calls:

24.0ms
(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))))
15.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
13.0ms
(*.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
d
12.0ms
l
Results
AccuracySegmentsBranch
78.7%2(/.f64 h l)
80.9%2M
77.1%1l
79.5%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
82.7%3D
80.3%2d
80.3%2(*.f64 #s(literal 2 binary64) d)
81.0%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
81.0%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
80.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
79.3%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
79.3%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
80.4%2(*.f64 M D)
Compiler

Compiled 169 to 128 computations (24.3% saved)

regimes121.0ms (0.7%)

Memory
-5.0MiB live, 152.8MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 d d)) (/.f64 M l)) #s(literal 1 binary64)))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)
Calls

8 calls:

42.0ms
(*.f64 M D)
22.0ms
M
12.0ms
d
10.0ms
D
9.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
78.3%2d
78.3%2(*.f64 #s(literal 2 binary64) d)
80.3%2(*.f64 M D)
80.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
78.6%2M
79.5%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
79.5%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
79.8%2D
Compiler

Compiled 101 to 77 computations (23.8% saved)

regimes12.0ms (0.1%)

Memory
-11.0MiB live, 27.0MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) h)) (*.f64 (*.f64 (neg.f64 l) d) d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (*.f64 l d) (neg.f64 d))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 h 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 (*.f64 (*.f64 h (/.f64 M d)) M) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))) l))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
Calls

1 calls:

8.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
80.1%2(*.f64 M D)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0%)

Memory
20.7MiB live, 20.7MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
Calls

1 calls:

7.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
80.1%2(*.f64 M D)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes135.0ms (0.8%)

Memory
-33.6MiB live, 222.5MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 l) (*.f64 h (*.f64 (/.f64 M (*.f64 d d)) M))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (+ (* (* -1/4 (* D D)) (* (* M M) (/ h (* l (* d d))))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))))))
(*.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) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

15 calls:

25.0ms
l
17.0ms
d
9.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
8.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
7.0ms
h
Results
AccuracySegmentsBranch
73.5%4d
73.5%4(*.f64 #s(literal 2 binary64) d)
74.3%2M
67.8%1l
72.2%2(/.f64 h l)
76.3%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
76.3%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
67.8%1w0
69.9%2h
77.8%3(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
77.8%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))))
77.8%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)))
75.8%3D
77.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
75.4%2(*.f64 M D)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes3.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
77.8%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)

regimes18.0ms (0.1%)

Memory
20.3MiB live, 59.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

13 calls:

2.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms
h
1.0ms
(*.f64 #s(literal 2 binary64) d)
1.0ms
d
1.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
67.8%1h
67.8%1d
67.8%1(*.f64 #s(literal 2 binary64) d)
67.8%1(/.f64 h l)
67.8%1D
67.8%1M
67.8%1(*.f64 M D)
67.8%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)))))
67.8%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))))
67.8%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)))
67.8%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
67.8%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
67.8%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 169 to 128 computations (24.3% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.787055401927411e+240
6.429077662517471e+242
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.4689796596110701e+301
2.7379461359916305e+303
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch2.0ms (0%)

Memory
-37.0MiB live, 1.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
1.0ms
2.0745896097721435e+167
2.5169380993590482e+175
0.0ms
3.961618184059118e-51
2.5679106663319947e-38
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.998359699980006e-55
1.1140400279404223e-54
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.4353257680809553e-67
5.3602914889237913e-67
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.7622386733612997e-190
5.867432877210048e-188
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.2242719739770663e+38
5.633005571714361e+39
0.0ms
6.022534917366109e-205
1.4070171937759555e-202
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.022534917366109e-205
1.4070171937759555e-202
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch35.0ms (0.2%)

Memory
32.5MiB live, 71.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
6.598621610681816e+145
8.178941246444426e+152
8.0ms
5.580079387910512e-75
9.165998784417944e-75
Samples
19.0ms208×0valid
1.0ms14×0invalid
Compiler

Compiled 786 to 530 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (38.9% of total)
ival-div: 3.0ms (23.4% of total)
ival-pow2: 2.0ms (15.6% of total)
ival-sub: 1.0ms (7.8% of total)
ival-sqrt: 1.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.0575740523267434e-94
5.3591701311776684e-92
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch3.0ms (0%)

Memory
-34.9MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.247200049277549e-194
2.705394971782683e-193
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.247200049277549e-194
2.705394971782683e-193
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.7724533746073265e+105
-6.050854551447094e+102
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
-1.7724533746073265e+105
-6.050854551447094e+102
Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify28.0ms (0.2%)

Memory
10.8MiB live, 47.7MiB allocated
Algorithm
1×egg-herbie
Rules
190×*-commutative_binary64
60×+-commutative_binary64
60×sub-neg_binary64
58×neg-sub0_binary64
58×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211093
13081093
23411093
33811093
44291093
54771093
65101093
75291093
85361093
95381093
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(if (<=.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))))) #s(literal 10000000000000000509610295637002728139855252735311366616309601643306774209564163318419090863889067021760658106681756277614179911327452208591182514380241927357631043882428148314438094801465785761804352561506118922744139467759619125060885807104 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) h)) #s(literal 1 binary64)))))
(if (<=.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))))) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal +inf.0 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 8424983333484575/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 400000000000000015443597714967805761117608205965401755817695318274309564065970970680789567018172681374223003611452620121565309158146834035292667189494522529602907144192 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1725436586697641/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 6070840288205403/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 5016456510113119/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (* D h) (* M (/ 1/2 d))) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))) (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 M D) #s(literal 5648027917416435/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 199999999999999995497619646912068059136 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 M D) #s(literal 5648027917416435/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l)))))
(if (<=.f64 D #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0)) (if (<=.f64 D #s(literal 83999999999999999571303005465100662750793268996554146944325055169836257382530574638547897748034202169927430472224578493246728326004045073645331021824 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)))
(if (<=.f64 (*.f64 M D) #s(literal 2348542582773833/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0))
(if (<=.f64 (*.f64 M D) #s(literal 4109481173084667/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 M D) #s(literal 4109481173084667/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) 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 -999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) 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 -999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M #s(literal -1/2 binary64)) d) D) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) w0)
(if (<=.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))))) #s(literal 10000000000000000509610295637002728139855252735311366616309601643306774209564163318419090863889067021760658106681756277614179911327452208591182514380241927357631043882428148314438094801465785761804352561506118922744139467759619125060885807104 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) h)) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))))) w0) #s(literal 10000000000000000509610295637002728139855252735311366616309601643306774209564163318419090863889067021760658106681756277614179911327452208591182514380241927357631043882428148314438094801465785761804352561506118922744139467759619125060885807104 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (/.f64 h l)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) l) (*.f64 (*.f64 (*.f64 M D) h) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64))) w0))
(if (<=.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))))) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))))) w0) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (/.f64 h l)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M #s(literal -1/2 binary64)) d) D) l) (*.f64 (*.f64 (*.f64 h D) M) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64))) w0))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal +inf.0 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))) #s(literal +inf.0 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (/.f64 h l)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) l)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))) w0))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 8424983333484575/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 400000000000000015443597714967805761117608205965401755817695318274309564065970970680789567018172681374223003611452620121565309158146834035292667189494522529602907144192 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 8424983333484575/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) l)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64))) w0) (if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 400000000000000015443597714967805761117608205965401755817695318274309564065970970680789567018172681374223003611452620121565309158146834035292667189494522529602907144192 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) M) (*.f64 (/.f64 D d) M)) (/.f64 (neg.f64 h) l)) (/.f64 D d) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 h D)) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M) D) #s(literal 1 binary64))) w0)))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1725436586697641/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) l) (/.f64 D d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l d)) M)) #s(literal 1 binary64)))))
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(if (<=.f64 (*.f64 M D) #s(literal 5648027917416435/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 M D)) h) l))) w0))
(if (<=.f64 D #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0)) (if (<=.f64 D #s(literal 83999999999999999571303005465100662750793268996554146944325055169836257382530574638547897748034202169927430472224578493246728326004045073645331021824 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)))
(if (<=.f64 D #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) w0) d) d) w0)) (if (<=.f64 D #s(literal 83999999999999999571303005465100662750793268996554146944325055169836257382530574638547897748034202169927430472224578493246728326004045073645331021824 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h M) (*.f64 l d))) #s(literal 1 binary64)))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 (*.f64 M D) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0)))
(if (<=.f64 (*.f64 M D) #s(literal 2348542582773833/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0))
(if (<=.f64 (*.f64 M D) #s(literal 2348542582773833/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 (*.f64 M D) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) D) h #s(literal 1 binary64))) w0))
(if (<=.f64 (*.f64 M D) #s(literal 4109481173084667/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 M D) #s(literal 4109481173084667/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) w0) d) d) w0)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) D #s(literal 1 binary64)))) w0))
(if (<=.f64 (*.f64 M D) #s(literal 4109481173084667/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 M D) #s(literal 4109481173084667/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M)) D #s(literal 1 binary64)))) w0))
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(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) w0)))) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)

soundness1.8s (10.5%)

Memory
37.9MiB live, 1 463.1MiB allocated
Rules
10 592×lower-*.f64
10 592×lower-*.f32
8 912×lower-fma.f64
8 912×lower-fma.f32
8 446×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084639
0131639
1419639
22766627
08167621
01778
02678
18278
255078
3707378
0866178
060453
0101449
1351405
22968390
08400386
06288158
121898136
084797930
069492
0120496
1418454
23033442
09795438
068435608
1235135416
0845534339
Stop Event
1×fuel
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
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 2 540 to 1 216 computations (52.1% saved)

preprocess289.0ms (1.7%)

Memory
11.5MiB live, 409.3MiB allocated
Remove

(negabs w0)

(abs d)

Compiler

Compiled 3 152 to 1 418 computations (55% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...