Henrywood and Agarwal, Equation (9a)

Time bar (total: 13.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze625.0ms (4.5%)

Memory
13.2MiB live, 712.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%99.7%0.3%0%0%0%4
0%0%99.7%0.3%0%0%0%5
0%0%99.7%0.3%0%0%0%6
12.5%12.5%87.2%0.3%0%0%0%7
12.5%12.5%87.2%0.3%0%0%0%8
12.5%12.5%87.2%0.3%0%0%0%9
12.5%12.5%87.2%0.3%0%0%0%10
12.5%12.5%87.2%0.3%0%0%0%11
18.8%18.7%81%0.3%0%0%0%12
Compiler

Compiled 20 to 19 computations (5% saved)

sample2.1s (15%)

Memory
-121.9MiB live, 2 747.4MiB allocated
Samples
1.2s8 256×0valid
286.0ms2 759×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sqrt: 358.0ms (31.9% of total)
ival-mult: 348.0ms (31% of total)
ival-div: 198.0ms (17.6% of total)
ival-pow2: 115.0ms (10.2% of total)
ival-sub: 80.0ms (7.1% of total)
exact: 11.0ms (1% of total)
ival-true: 8.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain313.0ms (2.3%)

Memory
-9.7MiB live, 271.5MiB 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
116.0ms512×0valid
Compiler

Compiled 218 to 55 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 33.0ms (61.9% of total)
ival-div: 8.0ms (15% of total)
ival-pow2: 5.0ms (9.4% of total)
ival-sqrt: 3.0ms (5.6% of total)
ival-sub: 2.0ms (3.8% of total)
exact: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess206.0ms (1.5%)

Memory
26.0MiB live, 177.8MiB 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)

prune30.0ms (0.2%)

Memory
-35.1MiB live, 2.1MiB 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)

simplify208.0ms (1.5%)

Memory
6.5MiB live, 199.2MiB 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

localize108.0ms (0.8%)

Memory
11.7MiB live, 90.4MiB 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
61.0ms256×0valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-sqrt: 36.0ms (73.6% of total)
ival-mult: 6.0ms (12.3% of total)
ival-div: 3.0ms (6.1% of total)
ival-pow2: 2.0ms (4.1% of total)
ival-sub: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series155.0ms (1.1%)

Memory
-2.2MiB live, 159.3MiB allocated
Counts
6 → 324
Calls
Call 1
Inputs
#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
Outputs
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
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#s(alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) (taylor -inf d) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
#s(alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) (taylor -inf d) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) (taylor -inf d) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) (taylor -inf d) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
37.0ms
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)))
33.0ms
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)))
14.0ms
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
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)))
5.0ms
M
@0
((pow (/ (* M D) (* 2 d)) 2) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))

simplify229.0ms (1.7%)

Memory
-4.0MiB live, 209.0MiB 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))

rewrite256.0ms (1.9%)

Memory
6.1MiB live, 212.2MiB 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)))

eval246.0ms (1.8%)

Memory
-15.2MiB live, 211.1MiB allocated
Compiler

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

prune262.0ms (1.9%)

Memory
-25.3MiB live, 163.6MiB 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))))
▶79.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))))
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))))))
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 D d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))))))
▶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)

simplify160.0ms (1.2%)

Memory
15.5MiB live, 128.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))
cost-diff384
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l)
cost-diff384
(*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
cost-diff1088
(/.f64 (/.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
6 632×lower-*.f32
6 596×lower-*.f64
4 136×lower-/.f32
4 116×lower-/.f64
2 726×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060585
0101579
1205567
2652560
33862560
47368560
08345560
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 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l)
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 D d)
D
d
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
l
(/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))
(/.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 M (/.f64 D (*.f64 l d))) #s(literal -1/2 binary64))
(/.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 (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) (*.f64 h D) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) (*.f64 h 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))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) (*.f64 h 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 (*.f64 (*.f64 (*.f64 h (/.f64 D (*.f64 l d))) #s(literal -1/4 binary64)) M) M)
(/.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 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) (*.f64 h D) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) (*.f64 h D) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) (*.f64 h D) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (*.f64 (*.f64 d d) l)) (*.f64 h D))
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l)
(*.f64 (/.f64 D (*.f64 l d)) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)))
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 D d)) M) M)
(/.f64 D d)
D
d
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 M M))
(*.f64 M M)
M
#s(literal 1/4 binary64)
l
(/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))
(*.f64 (/.f64 D d) h)
(/.f64 #s(literal 1 binary64) h)
h

localize237.0ms (1.7%)

Memory
-4.4MiB live, 157.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy6.1682222748883655
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l)
accuracy6.754794703332697
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))))
accuracy8.241974792364207
(*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
accuracy9.733475937065707
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
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
182.0ms256×0valid
Compiler

Compiled 533 to 61 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 81.0ms (63% of total)
ival-div: 27.0ms (21% of total)
ival-sqrt: 10.0ms (7.8% of total)
ival-add: 3.0ms (2.3% of total)
ival-sub: 2.0ms (1.6% of total)
ival-pow2: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series330.0ms (2.4%)

Memory
32.1MiB live, 267.7MiB allocated
Counts
25 → 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 D d) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))) (patch (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (patch (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.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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#s(alt (/ (* (pow M 2) h) (* (pow d 2) l)) (taylor -inf d) (#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>) () ())) ())
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#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) (taylor -inf d) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
40.0ms
l
@-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) (/ 1 h)) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (/ 1 h))) (/ (* (/ D d) (* (* M M) 1/4)) l) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ 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)) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (/ 1 h))))))
35.0ms
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) (/ 1 h)) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (/ 1 h))) (/ (* (/ D d) (* (* M M) 1/4)) l) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ 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)) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (/ 1 h))))))
22.0ms
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) (/ 1 h)) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (/ 1 h))) (/ (* (/ D d) (* (* M M) 1/4)) l) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ 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)) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (/ 1 h))))))
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) (/ 1 h)) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (/ 1 h))) (/ (* (/ D d) (* (* M M) 1/4)) l) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ 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)) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (/ 1 h))))))
7.0ms
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) (/ 1 h)) (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (/ 1 h))) (/ (* (/ D d) (* (* M M) 1/4)) l) (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ 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)) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (/ 1 h))))))

simplify429.0ms (3.1%)

Memory
-20.2MiB live, 417.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 454×lower-*.f64
10 454×lower-*.f32
8 468×lower-fma.f64
8 468×lower-fma.f32
2 730×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066133953
1228933686
0818932690
Stop Event
1×iter limit
1×node limit
Counts
1 368 → 1 340
Calls
Call 1
Inputs
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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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))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* 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)))))))
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 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)))
1
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w0
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
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(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(/ (* D h) d)
(/ (* D h) d)
(/ (* D h) d)
(/ (* D h) d)
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
1
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(/ (* (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))))
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(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* 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 (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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(* 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)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
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(+ 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)))))))
(/ (* D h) d)
(/ (* D h) d)
(/ (* D h) d)
(/ (* D h) d)
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
1
(+ 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))))))
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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))))))
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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))))))
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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))))))
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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))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* 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))))))
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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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#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
#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))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l 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))
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 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (pow.f64 M #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) 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 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (pow.f64 M #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 h h) 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) (*.f64 (*.f64 h h) h))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 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 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))
(/ (* D h) d)
(/.f64 (*.f64 h D) d)
(/ (* D h) d)
(/.f64 (*.f64 h D) d)
(/ (* D h) d)
(/.f64 (*.f64 h D) d)
(/ (* D h) d)
(/.f64 (*.f64 h D) d)
(* 1/4 (/ (* (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)))))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) (*.f64 l d))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) (*.f64 l d))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) (*.f64 l d))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) (*.f64 l 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))

rewrite317.0ms (2.3%)

Memory
23.9MiB live, 341.4MiB allocated
Rules
4 002×lower-/.f32
3 982×lower-/.f64
3 462×lower-*.f32
3 428×lower-*.f64
2 260×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059446
099448
1342407
22895387
08702383
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 939
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 D d) (/.f64 #s(literal 1 binary64) h))
(*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l)
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))
(*.f64 (*.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)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))))
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 D #s(literal 1 binary64)) (/.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 #s(literal 1 binary64) 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 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 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)) (neg.f64 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))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (*.f64 l d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) D) (*.f64 d d)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) D) (*.f64 d d)) h)) (*.f64 l l))) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) D) (*.f64 d d))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) D) (*.f64 d d))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 h h) 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)) D) (*.f64 l d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) D) (*.f64 d d)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) D) (*.f64 d d)) h)) (*.f64 l l))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (*.f64 l d)) (*.f64 (/.f64 D d) h)) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (*.f64 l d)) (*.f64 (/.f64 D d) h) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) D) (*.f64 d d))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) D) (*.f64 d d))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 h h) h) #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d))) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) h) (*.f64 d (neg.f64 l))) (/.f64 D d))) #s(literal 1/2 binary64)))

eval305.0ms (2.2%)

Memory
10.3MiB live, 701.0MiB allocated
Compiler

Compiled 80 282 to 4 393 computations (94.5% saved)

prune247.0ms (1.8%)

Memory
-24.2MiB live, 599.7MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New2 329132 342
Fresh6511
Picked415
Done000
Total2 339192 358
Accuracy
90.8%
Counts
2 358 → 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))))
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 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D h) #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))))))
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))))
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)))))
46.6%
(*.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 (/.f64 h l) (*.f64 M M)) (*.f64 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 (*.f64 l 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)))))
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))))))))
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 1 026 to 672 computations (34.5% saved)

simplify114.0ms (0.8%)

Memory
-13.2MiB live, 225.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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)))
cost-diff0
(*.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))))
cost-diff128
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h))
cost-diff384
(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))
cost-diff0
#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)))
cost-diff0
(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))
cost-diff0
(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)))
cost-diff0
(*.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))))
cost-diff0
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d))) #s(literal 1 binary64)))))
cost-diff0
(*.f64 D D)
cost-diff0
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) 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-diff256
(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-diff1088
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h))
Rules
7 412×lower-*.f32
7 364×lower-*.f64
3 598×lower-/.f32
3 580×lower-/.f64
1 716×lower-neg.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076709
0125706
1274698
2945692
33496692
45892692
08136692
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 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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 (*.f64 l d) d)))
(*.f64 M M)
M
(/.f64 h (*.f64 (*.f64 l d) d))
h
(*.f64 (*.f64 l d) d)
(*.f64 l d)
l
d
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))
#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 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D)
(*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))
#s(literal -1/4 binary64)
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
D
(*.f64 l d)
l
d
(/.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))))
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)))
(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 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)
(*.f64 #s(literal 1/4 binary64) (*.f64 M M))
#s(literal 1/4 binary64)
(*.f64 M M)
M
D
(neg.f64 h)
h
(*.f64 l d)
l
d
(/.f64 D d)
#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 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) h)) (*.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 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) h)) (*.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))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l)
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 M (*.f64 l d)))
(*.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 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
#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 (*.f64 l d) d))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 #s(literal -1/4 binary64) M) (*.f64 (*.f64 h D) 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 (*.f64 l d) d))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 #s(literal -1/4 binary64) M) (*.f64 (*.f64 h D) 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 (*.f64 l d) d))) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 #s(literal -1/4 binary64) M) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))
(fma.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 #s(literal -1/4 binary64) M) (*.f64 (*.f64 h D) 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 M M) (/.f64 h (*.f64 (*.f64 l d) d)))
(*.f64 (/.f64 M (*.f64 (*.f64 d d) l)) (*.f64 h M))
(*.f64 M M)
M
(/.f64 h (*.f64 (*.f64 l d) d))
(/.f64 h (*.f64 (*.f64 d d) l))
h
(*.f64 (*.f64 l d) d)
(*.f64 (*.f64 d d) l)
(*.f64 l d)
l
d
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 D d) #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 D (/.f64 h (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))) #s(literal 1 binary64))) w0)
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)))
(sqrt.f64 (fma.f64 (/.f64 D d) #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 D (/.f64 h (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))) #s(literal 1 binary64)))
(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))
(fma.f64 (/.f64 D d) #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 D (/.f64 h (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))) #s(literal 1 binary64))
#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)))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 D (/.f64 h (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) (*.f64 M M))))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))
(*.f64 (*.f64 D (/.f64 h (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D)
(*.f64 (*.f64 #s(literal -1/4 binary64) M) (*.f64 (*.f64 h D) M))
(*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M)))
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))
#s(literal -1/4 binary64)
(*.f64 h (*.f64 M M))
(*.f64 (*.f64 M M) h)
h
(*.f64 M M)
M
D
(*.f64 l d)
l
d
(/.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 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 #s(literal -1/4 binary64) M) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))) w0)
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)))
(sqrt.f64 (fma.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 #s(literal -1/4 binary64) M) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))
(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))
(fma.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 #s(literal -1/4 binary64) M) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d))
(*.f64 (*.f64 D (/.f64 h (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h))
(*.f64 (*.f64 #s(literal -1/4 binary64) M) (*.f64 (*.f64 h D) M))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)
(*.f64 #s(literal 1/4 binary64) (*.f64 M M))
#s(literal 1/4 binary64)
(*.f64 M M)
M
D
(neg.f64 h)
h
(*.f64 l d)
l
d
(/.f64 D d)
#s(literal 1 binary64)

localize187.0ms (1.4%)

Memory
9.0MiB live, 566.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.500115285890406
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h))
accuracy6.754794703332697
(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)))
accuracy9.201895056534546
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)
accuracy9.8344635352972
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d))
accuracy5.494213531167694
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D)
accuracy6.754794703332697
(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)))
accuracy8.893336365811873
(*.f64 h (*.f64 M M))
accuracy9.8344635352972
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))
accuracy5.9009287613019605
(/.f64 h (*.f64 (*.f64 l 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 (*.f64 l d) d))) #s(literal 1 binary64))))
accuracy13.595688039462459
(*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) d)))
accuracy16.122480826095927
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) 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
133.0ms256×0valid
Compiler

Compiled 588 to 75 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 51.0ms (56.4% of total)
ival-div: 20.0ms (22.1% of total)
ival-sqrt: 7.0ms (7.7% of total)
ival-add: 6.0ms (6.6% 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-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series202.0ms (1.5%)

Memory
7.3MiB live, 523.5MiB allocated
Counts
31 → 1 608
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 (/.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 (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 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (patch (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) #<representation binary64>) () ())
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<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 (*.f64 l d) d))) (patch (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) d))) #<representation binary64>) () ())
#s(alt (/.f64 h (*.f64 (*.f64 l d) d)) (patch (/.f64 h (*.f64 (*.f64 l d) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (patch (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M 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 (*.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>) () ())) ())
#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 (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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d))) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.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 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.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)))) #<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 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.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)))) #<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 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.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)))) #<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 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor 0 w0) (#s(alt (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor 0 w0) (#s(alt (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
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#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#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 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#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 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#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 (/ (* (pow M 2) h) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) d))) (patch (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) d))) (patch (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) d))) (patch (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) d))) (patch (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) d))) #<representation binary64>) () ())) ())
#s(alt (/ h (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 h (*.f64 (*.f64 l d) d)) (patch (/.f64 h (*.f64 (*.f64 l d) d)) #<representation binary64>) () ())) ())
#s(alt (/ h (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 h (*.f64 (*.f64 l d) d)) (patch (/.f64 h (*.f64 (*.f64 l d) d)) #<representation binary64>) () ())) ())
#s(alt (/ h (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 h (*.f64 (*.f64 l d) d)) (patch (/.f64 h (*.f64 (*.f64 l d) d)) #<representation binary64>) () ())) ())
#s(alt (/ h (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 h (*.f64 (*.f64 l d) d)) (patch (/.f64 h (*.f64 (*.f64 l d) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d)) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
20.0ms
l
@inf
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (/ (* D (/ (* -1/2 M) d)) l) (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (* 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 (* (* l 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)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1) (* (* (* 1/4 (* M M)) D) (neg h)) (* w0 (sqrt (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1)) (* 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 (* (* l d) d))) (/ h (* (* l d) d)) (/ (* (* -1/4 (* h (* M M))) D) (* l d)) (* (* -1/4 (* h (* M M))) D) (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (* (* 1/4 (* M M)) D))
7.0ms
M
@inf
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (/ (* D (/ (* -1/2 M) d)) l) (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (* 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 (* (* l 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)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1) (* (* (* 1/4 (* M M)) D) (neg h)) (* w0 (sqrt (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1)) (* 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 (* (* l d) d))) (/ h (* (* l d) d)) (/ (* (* -1/4 (* h (* M M))) D) (* l d)) (* (* -1/4 (* h (* M M))) D) (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (* (* 1/4 (* M M)) D))
6.0ms
h
@-inf
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (/ (* D (/ (* -1/2 M) d)) l) (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (* 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 (* (* l 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)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1) (* (* (* 1/4 (* M M)) D) (neg h)) (* w0 (sqrt (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1)) (* 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 (* (* l d) d))) (/ h (* (* l d) d)) (/ (* (* -1/4 (* h (* M M))) D) (* l d)) (* (* -1/4 (* h (* M M))) D) (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (* (* 1/4 (* M M)) D))
6.0ms
D
@inf
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (/ (* D (/ (* -1/2 M) d)) l) (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (* 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 (* (* l 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)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1) (* (* (* 1/4 (* M M)) D) (neg h)) (* w0 (sqrt (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1)) (* 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 (* (* l d) d))) (/ h (* (* l d) d)) (/ (* (* -1/4 (* h (* M M))) D) (* l d)) (* (* -1/4 (* h (* M M))) D) (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (* (* 1/4 (* M M)) D))
6.0ms
d
@0
((/ (* (* (/ 1/2 d) M) D) (/ 1 h)) (/ (* D (/ (* -1/2 M) d)) l) (+ (* (/ (* D (/ (* -1/2 M) d)) l) (/ (* (* (/ 1/2 d) M) D) (/ 1 h))) 1) (* 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 (* (* l 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)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1) (* (* (* 1/4 (* M M)) D) (neg h)) (* w0 (sqrt (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (/ D d)) 1)) (* 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 (* (* l d) d))) (/ h (* (* l d) d)) (/ (* (* -1/4 (* h (* M M))) D) (* l d)) (* (* -1/4 (* h (* M M))) D) (/ (* (* (* 1/4 (* M M)) D) (neg h)) (* l d)) (* (* 1/4 (* M M)) D))

simplify286.0ms (2.1%)

Memory
16.6MiB live, 529.4MiB allocated
Algorithm
1×egg-herbie
Rules
8 532×lower-*.f64
8 532×lower-*.f32
6 640×lower-fma.f64
6 640×lower-fma.f32
4 656×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068637288
1236637096
0851736019
Stop Event
1×iter limit
1×node limit
Counts
1 608 → 1 566
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* 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))))))
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1
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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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1
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1
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w0
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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))))
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)))))))
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1
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1
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1
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w0
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w0
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1
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1
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1
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w0
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1
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w0
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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) 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))
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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 l)))
(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
1
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w0
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w0
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w0
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w0
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1
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1
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w0
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1
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1
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1
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w0
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1
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(* -1/2 (/ (* D M) d))
(* -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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(+ 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 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))
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Outputs
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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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 (* D (* (pow M 2) h)))
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(* -1/4 (* D (* (pow M 2) h)))
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(* -1/4 (* D (* (pow M 2) h)))
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(* -1/4 (* D (* (pow M 2) h)))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* 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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(* -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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(* (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))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* (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 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.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))))))
(*.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) (+ (* -1/4 (/ (* (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 (/ (* D (* (pow M 2) h)) (* d l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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(* -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 (* D (* (pow M 2) h)))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64))
(* -1/4 (* D (* (pow M 2) h)))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64))
(* -1/4 (* D (* (pow M 2) h)))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64))
(* -1/4 (* D (* (pow M 2) h)))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.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)))
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(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)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64)) (*.f64 l d))

rewrite207.0ms (1.5%)

Memory
2.8MiB live, 316.0MiB allocated
Rules
4 666×lower-*.f32
4 618×lower-*.f64
4 430×lower-/.f32
4 410×lower-/.f64
2 844×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076576
0125576
1439553
23352549
09063545
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
31 → 862
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l)
(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 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))
#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)))
(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 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h))
(*.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))))
(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 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 (*.f64 l d) d)))
(/.f64 h (*.f64 (*.f64 l d) d))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (neg.f64 h)) (*.f64 l d))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) M) 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 (*.f64 #s(literal -1/2 binary64) M) 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 D #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) (/.f64 #s(literal -1 binary64) h)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) 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 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 (*.f64 #s(literal -1/2 binary64) M) d) D) (/.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 (*.f64 #s(literal -1/2 binary64) M) 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 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)) D)) (neg.f64 (*.f64 d (/.f64 #s(literal 1 binary64) h))))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d)
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (*.f64 d (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 #s(literal -1/2 binary64) M) 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 (*.f64 #s(literal -1/2 binary64) M) d) D) (/.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)))
(*.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) D)
(*.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D))
(*.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (/.f64 #s(literal -1 binary64) l))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) (*.f64 D (/.f64 #s(literal 1 binary64) l)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) (/.f64 D l))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (*.f64 l d)))
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)))
(pow.f64 (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) d) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 l (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) d) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l))) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)))) (neg.f64 (neg.f64 (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 l) d))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) #s(literal 1 binary64))) (neg.f64 l))
(/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l)) d)
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (*.f64 (neg.f64 l) d))
(/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 l d))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) #s(literal 1 binary64)) l)
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (*.f64 l d))
(/.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) (neg.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) d) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) d)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) d) D) l)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) d))))
(/.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))
(neg.f64 (/.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) 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)))
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(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) (*.f64 d d)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) (*.f64 d d)) h)) (*.f64 l l)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal -1 binary64))))
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(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) h) (neg.f64 (neg.f64 (*.f64 (neg.f64 l) d))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) h) (*.f64 (neg.f64 l) d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 (neg.f64 h) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (neg.f64 l) d) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) h)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 (neg.f64 h) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 l) d) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) h))))
(/.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (neg.f64 (*.f64 (neg.f64 l) d)))
(/.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (*.f64 l d))
(/.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) (/.f64 (neg.f64 l) h))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 l) d) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) h)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (neg.f64 h) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 l) d) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) h)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (neg.f64 h) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 l) d) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) h)))
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) h) (*.f64 l d)))
(neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) (/.f64 h l)))
(neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) h) (/.f64 #s(literal 1 binary64) (*.f64 l d))))
(neg.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (neg.f64 l) d) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) h))) #s(literal -1 binary64)))
(*.f64 (*.f64 D (*.f64 #s(literal 1/4 binary64) M)) M)
(*.f64 (*.f64 D #s(literal 1/4 binary64)) (*.f64 M M))
(*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1/4 binary64) M) (*.f64 D M))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) D))
(*.f64 (*.f64 M M) (*.f64 #s(literal 1/4 binary64) D))
(*.f64 (*.f64 D M) (*.f64 #s(literal 1/4 binary64) M))
(*.f64 D (*.f64 #s(literal 1/4 binary64) (*.f64 M M)))
(*.f64 M (*.f64 (*.f64 #s(literal 1/4 binary64) M) D))

eval327.0ms (2.4%)

Memory
12.5MiB live, 671.6MiB allocated
Compiler

Compiled 79 954 to 4 491 computations (94.4% saved)

prune269.0ms (1.9%)

Memory
-22.3MiB live, 595.9MiB allocated
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New2 457172 474
Fresh6713
Picked505
Done011
Total2 468252 493
Accuracy
90.8%
Counts
2 493 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (/.f64 D (*.f64 (*.f64 l d) d)) #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))))
▶80.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64))))
79.2%
(*.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 (*.f64 h M) M)) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
77.9%
(*.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) h) (*.f64 (*.f64 M M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
74.4%
(*.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 (*.f64 M M) h)) d) (/.f64 D l))) (/.f64 D d) #s(literal 1 binary64))))
76.5%
(*.f64 w0 (sqrt.f64 (fma.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) 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))))))
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))))
72.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
46.6%
(*.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 (/.f64 h l) (*.f64 M M)) (*.f64 d 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)))))
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))
65.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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))
49.5%
#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 (*.f64 h M) M) w0) (*.f64 l (*.f64 d d))) w0))
48.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 d d))) l) w0))
51.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) M) M)) 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 1 342 to 858 computations (36.1% saved)

simplify114.0ms (0.8%)

Memory
21.9MiB live, 176.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64))))
cost-diff128
(*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M))
cost-diff256
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M 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 (*.f64 h M) (*.f64 l d)) (/.f64 M 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 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))))
cost-diff384
(*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d))
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 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))
Rules
6 810×lower-*.f32
6 752×lower-*.f64
3 908×lower-/.f32
3 890×lower-/.f64
1 720×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082739
0131739
1271739
2874734
34562734
47264734
08023732
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 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 M #s(literal 1/2 binary64)) (*.f64 D h)) d)
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h))
(*.f64 M #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 D h)
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 l d)) (/.f64 M 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 (*.f64 h M) (*.f64 l d)) (/.f64 M 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 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))
(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 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d))
(/.f64 (*.f64 h M) (*.f64 l d))
(*.f64 h M)
h
M
(*.f64 l d)
l
d
(/.f64 M d)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M)
(*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M))
(/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d))
(*.f64 h D)
h
D
(*.f64 (neg.f64 l) d)
(neg.f64 l)
l
d
(*.f64 #s(literal 1/4 binary64) M)
#s(literal 1/4 binary64)
M
(/.f64 D d)
#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 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.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 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.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 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l)
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 M (*.f64 l d)))
(*.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 M #s(literal 1/2 binary64)) (*.f64 D h)) d)
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 M d)) (*.f64 h D))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h))
(*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M D))
(*.f64 M #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) M)
#s(literal 1/2 binary64)
(*.f64 D h)
(*.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 l d)) (/.f64 M d)) #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 l d)) (/.f64 M d)) #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 l d)) (/.f64 M d)) #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 l d)) (/.f64 M d)) #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 l d)) (/.f64 M d))
(*.f64 (/.f64 M (*.f64 (*.f64 d d) l)) (*.f64 h M))
(/.f64 (*.f64 h M) (*.f64 l d))
(*.f64 (/.f64 h (*.f64 l d)) M)
(*.f64 h M)
h
M
(*.f64 l d)
l
d
(/.f64 M d)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) M) D) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 (neg.f64 l) d) d)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) M) D) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 (neg.f64 l) d) d)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) M) D) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 (neg.f64 l) d) d)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M)
(*.f64 (*.f64 h D) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 M (*.f64 l d))) M))
(*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 M (*.f64 l d))) (*.f64 h D))
(/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d))
(*.f64 (neg.f64 D) (/.f64 h (*.f64 l d)))
(*.f64 h D)
h
D
(*.f64 (neg.f64 l) d)
(neg.f64 l)
l
d
(*.f64 #s(literal 1/4 binary64) M)
#s(literal 1/4 binary64)
M
(/.f64 D d)
#s(literal 1 binary64)

localize180.0ms (1.3%)

Memory
-7.0MiB live, 351.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.2205401690604907
(*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M)
accuracy5.301250377701131
(*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M))
accuracy6.754794703332697
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64)))
accuracy9.85148862217251
(/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d))
accuracy2.0419963510968646
(*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M 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 l d)) (/.f64 M d)) #s(literal 1 binary64))))
accuracy9.521631733882565
(/.f64 (*.f64 h M) (*.f64 l d))
accuracy16.122480826095927
(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))
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)))))
accuracy5.1334122964613
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h))
accuracy5.878571072663977
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d)
accuracy6.754794703332697
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64)))
accuracy7.912177262775989
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))
Samples
121.0ms256×0valid
Compiler

Compiled 575 to 72 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 50.0ms (57.9% of total)
ival-div: 19.0ms (22% of total)
ival-sqrt: 5.0ms (5.8% of total)
ival-add: 4.0ms (4.6% of total)
ival-pow2: 3.0ms (3.5% of total)
ival-neg: 2.0ms (2.3% of total)
ival-sub: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series204.0ms (1.5%)

Memory
12.1MiB live, 446.7MiB allocated
Counts
29 → 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 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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>) () ())
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#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>) () ())
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#s(alt (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) (patch (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M 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 (*.f64 h M) (*.f64 l d)) (/.f64 M 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 (*.f64 h M) (*.f64 l d)) (/.f64 M 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 (*.f64 h M) (*.f64 l d)) (/.f64 M 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 (*.f64 h M) (*.f64 l d)) (/.f64 M 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 (*.f64 h M) (*.f64 l d)) (/.f64 M 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 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) (patch (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) #<representation binary64>) () ())
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#s(alt (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 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 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) (patch (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) (patch (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) #<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 l d)) (/.f64 M d)) #s(literal 1 binary64)) (patch (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)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 h M) (*.f64 l d)) (patch (/.f64 (*.f64 h M) (*.f64 l d)) #<representation binary64>) () ())
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#s(alt (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (patch (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) #<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 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 M #s(literal 1/2 binary64)) (*.f64 D h)) 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 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 M #s(literal 1/2 binary64)) (*.f64 D h)) 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 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 M #s(literal 1/2 binary64)) (*.f64 D h)) 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 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) 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 (/ (* (pow M 2) h) (* (pow d 2) l)) (taylor -inf d) (#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 1 (taylor -inf d) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) (* d l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 h M) (*.f64 l d)) (patch (/.f64 (*.f64 h M) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) (* d l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 h M) (*.f64 l d)) (patch (/.f64 (*.f64 h M) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) (* d l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 h M) (*.f64 l d)) (patch (/.f64 (*.f64 h M) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) (* d l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 h M) (*.f64 l d)) (patch (/.f64 (*.f64 h M) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D h) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (patch (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D h) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (patch (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D h) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (patch (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D h) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (patch (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (patch (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (patch (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (patch (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (patch (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) #<representation binary64>) () ())) ())
Calls

18 calls:

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

simplify289.0ms (2.1%)

Memory
35.1MiB live, 463.2MiB allocated
Algorithm
1×egg-herbie
Rules
8 602×lower-*.f64
8 602×lower-*.f32
6 640×lower-fma.f64
6 640×lower-fma.f32
4 728×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068838791
1238138599
0859737522
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))))))
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1
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w0
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1
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w0
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w0
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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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(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
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(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
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(/ (* (pow M 2) h) (* (pow d 2) l))
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(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (* M h) (* d l))
(/ (* M h) (* d l))
(/ (* M h) (* d l))
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1
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w0
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1
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w0
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w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
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1
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (* (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
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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
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(* -1/4 (/ (* D (* M h)) (* d l)))
w0
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* 1/2 (/ (* D (* M 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) (* d l))
(/ (* M h) (* d l))
(/ (* M h) (* d l))
(/ (* M h) (* d l))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) 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)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -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)))))))
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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(* -1/4 (/ (* (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))))
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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
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(* -1/4 (/ (* D (* M h)) (* d l)))
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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) 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
(+ 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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(/ (* M h) (* d l))
(/ (* M h) (* d l))
(/ (* M h) (* d l))
(/ (* M h) (* d l))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* 1/2 (* (/ 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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(* -1/2 (/ (* D M) d))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (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))))))
(*.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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(* (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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(* -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)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(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))
(* -1/4 (/ (* (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))))
(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))
(* -1/4 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l 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))
(* D (+ (* 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 1/2 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))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(+ 1 (* -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))
(* -1/2 (/ (* 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 (*.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))
(/ (* M h) (* d l))
(*.f64 M (/.f64 h (*.f64 l d)))
(/ (* M h) (* d l))
(*.f64 M (/.f64 h (*.f64 l d)))
(/ (* M h) (* d l))
(*.f64 M (/.f64 h (*.f64 l d)))
(/ (* M h) (* d l))
(*.f64 M (/.f64 h (*.f64 l d)))
(* -1 (/ (* D h) (* d l)))
(*.f64 (neg.f64 D) (/.f64 h (*.f64 l d)))
(* -1 (/ (* D h) (* d l)))
(*.f64 (neg.f64 D) (/.f64 h (*.f64 l d)))
(* -1 (/ (* D h) (* d l)))
(*.f64 (neg.f64 D) (/.f64 h (*.f64 l d)))
(* -1 (/ (* D h) (* d l)))
(*.f64 (neg.f64 D) (/.f64 h (*.f64 l d)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64)) (*.f64 l d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal -1/4 binary64)) (*.f64 l d))

rewrite214.0ms (1.5%)

Memory
-11.6MiB live, 315.7MiB allocated
Rules
7 078×lower-*.f32
7 020×lower-*.f64
4 154×lower-/.f32
4 136×lower-/.f64
3 910×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082602
0131602
1412602
22931570
09700568
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 695
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #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 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) 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 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 l d)) (/.f64 M 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 l d)) (/.f64 M 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 (*.f64 h M) (*.f64 l d)) (/.f64 M 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 (*.f64 h M) (*.f64 l d)) (/.f64 M d)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M) (/.f64 D d) #s(literal 1 binary64)))
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d)
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h))
(/.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 l d)) (/.f64 M d)) #s(literal 1 binary64))
(/.f64 (*.f64 h M) (*.f64 l d))
(/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d))
(*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) M)
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 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D))) (/.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 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D) #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 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D))) (/.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 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.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))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D))))
(/.f64 (neg.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))) (neg.f64 (fma.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D))) (/.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 (-.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)) (fma.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #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 h D) M) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M #s(literal -1/2 binary64)) d) D) M) (*.f64 (*.f64 h D) #s(literal 1/2 binary64)))) (*.f64 l d))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D))) (/.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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D) #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))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D))) (/.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 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 h (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) D) (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) #s(literal 1 binary64))
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eval432.0ms (3.1%)

Memory
41.2MiB live, 441.1MiB allocated
Compiler

Compiled 68 700 to 3 514 computations (94.9% saved)

prune538.0ms (3.9%)

Memory
-130.3MiB live, 501.7MiB allocated
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New2 297122 309
Fresh12719
Picked235
Done011
Total2 311232 334
Accuracy
90.8%
Counts
2 334 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (/.f64 D (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))) w0)
✓80.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) l) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))))
74.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) M) (*.f64 (neg.f64 l) (/.f64 d (*.f64 h D)))) M) (/.f64 D d) #s(literal 1 binary64))))
76.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))))
79.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (/ (* h D) (* (neg l) d)) (* 1/4 M)) (/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))) M) (/.f64 D d) #s(literal 1 binary64))))
74.4%
(*.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 (*.f64 M M) h)) d) (/.f64 D l))) (/.f64 D d) #s(literal 1 binary64))))
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))))
72.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) M) M) (*.f64 #s(literal -1/4 binary64) D)) 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)))))
17.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h) (/.f64 M (*.f64 l d))) M) d))))
13.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (/.f64 h l)) (*.f64 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)))))
15.0%
(*.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 l) (*.f64 (/.f64 M d) (/.f64 M d)))))))
✓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)))
65.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
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))))))
14.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.f64 w0 d)))))
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 1 906 to 747 computations (60.8% saved)

regimes314.0ms (2.3%)

Memory
-1.7MiB live, 364.7MiB allocated
Counts
59 → 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))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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))
#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 h 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 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.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 w0 (*.f64 d d))) l) 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))) (*.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 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (/.f64 D (*.f64 (*.f64 l d) d)) #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 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 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (/.f64 h l)) (*.f64 d d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h) (/.f64 M (*.f64 l d))) M) 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 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 #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 l) (*.f64 M M)) (*.f64 d d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 M M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.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 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (/ (* h D) (* (neg l) d)) (* 1/4 M)) (/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))) M) (/.f64 D d) #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 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) 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 l) (*.f64 (/.f64 M d) (/.f64 M d)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D h) #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 (*.f64 M M) h)) d) (/.f64 D l))) (/.f64 D d) #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 (*.f64 #s(literal 1/4 binary64) M) (*.f64 (neg.f64 l) (/.f64 d (*.f64 h D)))) M) (/.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 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) 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 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 D d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 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:

77.0ms
l
20.0ms
M
19.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
19.0ms
D
18.0ms
d
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)

regimes240.0ms (1.7%)

Memory
7.3MiB live, 385.4MiB allocated
Counts
54 → 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))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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))
#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 h 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 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.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 w0 (*.f64 d d))) l) 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))) (*.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 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (/.f64 D (*.f64 (*.f64 l d) d)) #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 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 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (/.f64 h l)) (*.f64 d d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h) (/.f64 M (*.f64 l d))) M) 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 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 #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 l) (*.f64 M M)) (*.f64 d d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 M M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.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 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (/ (* h D) (* (neg l) d)) (* 1/4 M)) (/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))) M) (/.f64 D d) #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 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) 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 l) (*.f64 (/.f64 M d) (/.f64 M d)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D h) #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 (*.f64 M M) h)) d) (/.f64 D l))) (/.f64 D d) #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 (*.f64 #s(literal 1/4 binary64) M) (*.f64 (neg.f64 l) (/.f64 d (*.f64 h D)))) M) (/.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 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) 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 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 D d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))))))
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:

18.0ms
w0
18.0ms
(*.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)))))
18.0ms
h
18.0ms
(/.f64 h l)
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))))
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)

regimes256.0ms (1.9%)

Memory
27.5MiB live, 405.1MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) 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))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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))
#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 h 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 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.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 w0 (*.f64 d d))) l) 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))) (*.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 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (/.f64 D (*.f64 (*.f64 l d) d)) #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 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 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (/.f64 h l)) (*.f64 d d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h) (/.f64 M (*.f64 l d))) M) 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 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 #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 l) (*.f64 M M)) (*.f64 d d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 M M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.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 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (/ (* h D) (* (neg l) d)) (* 1/4 M)) (/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))) M) (/.f64 D d) #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 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) 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 l) (*.f64 (/.f64 M d) (/.f64 M d)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D h) #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 (*.f64 M M) h)) d) (/.f64 D l))) (/.f64 D d) #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 (*.f64 #s(literal 1/4 binary64) M) (*.f64 (neg.f64 l) (/.f64 d (*.f64 h D)))) M) (/.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 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) 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 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 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))))
Calls

15 calls:

24.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
24.0ms
M
24.0ms
l
20.0ms
d
17.0ms
h
Results
AccuracySegmentsBranch
80.7%1w0
83.8%2M
87.2%3D
86.1%3h
85.9%2d
85.8%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
85.9%2(*.f64 #s(literal 2 binary64) d)
87.0%3l
87.0%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
87.7%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)

regimes52.0ms (0.4%)

Memory
19.9MiB live, 97.2MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#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))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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))
#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 h 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 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.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 w0 (*.f64 d d))) l) 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))) (*.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 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (/.f64 D (*.f64 (*.f64 l d) d)) #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 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 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (/.f64 h l)) (*.f64 d d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h) (/.f64 M (*.f64 l d))) M) 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 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 #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 l) (*.f64 M M)) (*.f64 d d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 M M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.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 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (/ (* h D) (* (neg l) d)) (* 1/4 M)) (/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))) M) (/.f64 D d) #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 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) 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 l) (*.f64 (/.f64 M d) (/.f64 M d)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D h) #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 (*.f64 M M) h)) d) (/.f64 D l))) (/.f64 D d) #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 (*.f64 #s(literal 1/4 binary64) M) (*.f64 (neg.f64 l) (/.f64 d (*.f64 h D)))) M) (/.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 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
Calls

4 calls:

14.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
12.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
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
86.3%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.4%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
86.4%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
86.4%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Compiler

Compiled 86 to 61 computations (29.1% saved)

regimes155.0ms (1.1%)

Memory
-51.4MiB live, 225.9MiB 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))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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))
#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 h 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 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.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 w0 (*.f64 d d))) l) 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))) (*.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 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (/.f64 D (*.f64 (*.f64 l d) d)) #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 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 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (/.f64 h l)) (*.f64 d d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h) (/.f64 M (*.f64 l d))) M) 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 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 #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 l) (*.f64 M M)) (*.f64 d d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 M M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.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 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (/ (* h D) (* (neg l) d)) (* 1/4 M)) (/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))) M) (/.f64 D d) #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 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) 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 l) (*.f64 (/.f64 M d) (/.f64 M d)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D h) #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 (*.f64 M M) h)) d) (/.f64 D l))) (/.f64 D d) #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 (*.f64 #s(literal 1/4 binary64) M) (*.f64 (neg.f64 l) (/.f64 d (*.f64 h D)))) M) (/.f64 D d) #s(literal 1 binary64))))
Outputs
(*.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 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
Calls

10 calls:

35.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
14.0ms
D
14.0ms
(*.f64 #s(literal 2 binary64) d)
14.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
14.0ms
d
Results
AccuracySegmentsBranch
86.3%4D
87.9%4(/.f64 h l)
86.1%3(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
83.3%2d
83.3%2(*.f64 #s(literal 2 binary64) d)
86.5%3(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
84.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
85.5%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
85.5%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
85.5%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Compiler

Compiled 146 to 109 computations (25.3% saved)

regimes123.0ms (0.9%)

Memory
22.0MiB live, 177.7MiB 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))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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))
#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 h 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 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.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 w0 (*.f64 d d))) l) 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))) (*.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 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (/.f64 D (*.f64 (*.f64 l d) d)) #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 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 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (/.f64 h l)) (*.f64 d d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h) (/.f64 M (*.f64 l d))) M) 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 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 #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 l) (*.f64 M M)) (*.f64 d d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 M M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.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 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (/ (* h D) (* (neg l) d)) (* 1/4 M)) (/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))) M) (/.f64 D d) #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 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) 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 l) (*.f64 (/.f64 M d) (/.f64 M d)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M (*.f64 l d))) D) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) (*.f64 l d))) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 D h) #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 (*.f64 M M) h)) d) (/.f64 D l))) (/.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 (fma.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))))
Calls

10 calls:

14.0ms
l
13.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
12.0ms
h
12.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
12.0ms
(/.f64 h l)
Results
AccuracySegmentsBranch
81.8%2h
84.3%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
83.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
84.0%3(/.f64 h l)
84.3%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
84.9%3(*.f64 M D)
79.9%1l
81.8%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
84.0%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))))
84.0%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)))
Compiler

Compiled 146 to 108 computations (26% saved)

regimes100.0ms (0.7%)

Memory
-5.0MiB live, 71.5MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* 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))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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))
#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 h 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 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.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 w0 (*.f64 d d))) l) 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))) (*.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 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (/.f64 D (*.f64 (*.f64 l d) d)) #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 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 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (/.f64 h l)) (*.f64 d d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h) (/.f64 M (*.f64 l d))) M) 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 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 #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 l) (*.f64 M M)) (*.f64 d d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 M M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.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 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(approx (* (/ (* h D) (* (neg l) d)) (* 1/4 M)) (/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))) M) (/.f64 D d) #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 h D) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/4 binary64) M)) 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 l) (*.f64 (/.f64 M d) (/.f64 M d)))))))
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 #s(approx (* (/ (* h D) (* (neg l) d)) (* 1/4 M)) (/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))) M) (/.f64 D d) #s(literal 1 binary64))))
Calls

5 calls:

57.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
11.0ms
M
10.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
10.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
9.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Results
AccuracySegmentsBranch
84.5%3M
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)))
82.8%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
82.8%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Compiler

Compiled 78 to 58 computations (25.6% saved)

regimes96.0ms (0.7%)

Memory
18.6MiB live, 133.4MiB allocated
Counts
32 → 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))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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))
#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 h 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 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.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 w0 (*.f64 d d))) l) 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))) (*.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 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (/.f64 D (*.f64 (*.f64 l d) d)) #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 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 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (/.f64 h l)) (*.f64 d d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h) (/.f64 M (*.f64 l d))) M) 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 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 #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 l) (*.f64 M M)) (*.f64 d d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 M M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.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 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) D) (*.f64 l d))) (/.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 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
Calls

10 calls:

11.0ms
M
11.0ms
D
11.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
10.0ms
(*.f64 #s(literal 2 binary64) d)
9.0ms
d
Results
AccuracySegmentsBranch
81.0%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
81.2%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
82.5%2M
81.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
83.3%3D
81.0%2d
81.0%2(*.f64 #s(literal 2 binary64) d)
82.3%2(*.f64 M D)
81.9%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
81.9%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Compiler

Compiled 129 to 98 computations (24% saved)

regimes42.0ms (0.3%)

Memory
-12.2MiB live, 67.9MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#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))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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))
#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 h 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 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.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 w0 (*.f64 d d))) l) 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))) (*.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 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) D)) (/.f64 D (*.f64 (*.f64 l d) d)) #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 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 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) M) (/.f64 h l)) (*.f64 d d)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h) (/.f64 M (*.f64 l d))) M) 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 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 #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 l) (*.f64 M M)) (*.f64 d d)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 M M) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M M))) D) (*.f64 l d))) (/.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 (/.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 l d) d)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
Calls

4 calls:

11.0ms
(*.f64 M D)
11.0ms
M
9.0ms
w0
9.0ms
(/.f64 h l)
Results
AccuracySegmentsBranch
77.9%1w0
82.0%2(*.f64 M D)
79.5%2(/.f64 h l)
81.7%2M
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes9.0ms (0.1%)

Memory
-20.4MiB live, 18.0MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#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))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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))
#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 h 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 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.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 w0 (*.f64 d d))) l) 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))) (*.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 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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 l d) d)) M) M) (*.f64 #s(literal -1/4 binary64) D)) D #s(literal 1 binary64)))))
Calls

1 calls:

8.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
82.0%2(*.f64 M D)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes89.0ms (0.6%)

Memory
35.9MiB live, 149.3MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* 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))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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))
#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 h 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 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.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 w0 (*.f64 d d))) l) 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))) (*.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 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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)))))
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

13 calls:

15.0ms
(*.f64 #s(literal 2 binary64) d)
9.0ms
M
8.0ms
h
6.0ms
d
6.0ms
D
Results
AccuracySegmentsBranch
78.5%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
72.4%2d
72.4%2(*.f64 #s(literal 2 binary64) d)
78.5%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
80.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
70.4%1l
78.1%2M
79.1%3(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
79.0%2D
73.8%3h
80.1%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
80.1%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
80.1%2(*.f64 M D)
Compiler

Compiled 167 to 127 computations (24% saved)

regimes57.0ms (0.4%)

Memory
-11.2MiB live, 96.6MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* 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))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 l d) d)) 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))
#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 h 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 l d) d)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h (*.f64 (/.f64 M (*.f64 l d)) M)) (/.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 w0 (*.f64 d d))) l) 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))) (*.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 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 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 l 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 l d) d)) M) M)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

9 calls:

8.0ms
D
8.0ms
(*.f64 M D)
8.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
6.0ms
w0
5.0ms
(/.f64 h l)
Results
AccuracySegmentsBranch
78.2%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
78.2%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
76.3%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
76.3%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
76.2%3D
67.8%1w0
72.6%2(/.f64 h l)
78.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
75.8%2(*.f64 M D)
Compiler

Compiled 122 to 91 computations (25.4% saved)

regimes5.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* 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)))
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

2 calls:

2.0ms
M
2.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
71.5%2M
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 26 to 19 computations (26.9% saved)

regimes30.0ms (0.2%)

Memory
7.6MiB live, 45.7MiB 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

14 calls:

13.0ms
(*.f64 M D)
1.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms
d
1.0ms
D
1.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
67.8%1M
67.8%1l
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%1(*.f64 M D)
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(sqrt.f64 (-.f64 #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(*.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(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 176 to 134 computations (23.9% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.4689796596110701e+301
2.7379461359916305e+303
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.1683832035414436e+248
8.913716783767634e+248
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.913716783767634e+248
2.040557087252565e+299
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0
1092966588263155.1
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch19.0ms (0.1%)

Memory
-6.3MiB live, 30.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
7.43176686779144e-208
4.9660540736849375e-206
Samples
13.0ms112×0valid
0.0ms4×0invalid
Compiler

Compiled 307 to 222 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (44.5% of total)
ival-mult: 3.0ms (33.4% of total)
ival-sub: 1.0ms (11.1% of total)
ival-sqrt: 1.0ms (11.1% of total)
ival-pow2: 1.0ms (11.1% 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
0.8MiB live, 0.8MiB 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
0.6MiB live, 0.6MiB 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
0.6MiB live, 0.6MiB 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
0.7MiB live, 0.7MiB 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
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.7724533746073265e+105
-6.050854551447094e+102
Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify23.0ms (0.2%)

Memory
-13.2MiB live, 22.5MiB allocated
Algorithm
1×egg-herbie
Rules
140×*-commutative_binary64
30×+-commutative_binary64
30×sub-neg_binary64
30×neg-sub0_binary64
30×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189870
1257870
2276870
3292870
4307870
5326870
6341870
7353870
8360870
9362870
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 (*.f64 M #s(literal 1/2 binary64)) (*.f64 D h)) d) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 200000000000000009059656093454283493894480369275085331567506627801514030557619328472424725816137264176261822880706493688011786868387997604430905860892176095581446469000357584466762025826605872027055636809415309817703628810557419457353500712587231232 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 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 999999999999999921096833083214702657554042769375222237286651769671841261663933600278047414170535414411036408111814232401040478571454131528428125775275729162364250341707296785977412047465036916114055333519200963067478208555469597215339755257651527680 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 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #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 D (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 l d)) (*.f64 (*.f64 D h) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 2 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 #s(approx (* (/ (* h D) (* (neg l) d)) (* 1/4 M)) (/.f64 (*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/4 binary64)) (*.f64 l d))) M) (/.f64 D d) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 1373600389515677/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 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 (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) D) (*.f64 l d))) (/.f64 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 (*.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 l d) d)) 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 l d) d)) 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 l d) d)) 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)
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(if (<=.f64 M #s(literal 1373600389515677/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 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 (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) D) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 1373600389515677/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) #s(literal -1/4 binary64)) D) (*.f64 l d))) (/.f64 D d) #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 l d) d)) 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 l d) d)) 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 l d) d)) 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 l d) d)) 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 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) (*.f64 #s(literal -1/4 binary64) D)) 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 (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) M) M) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))))) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)

soundness1.7s (12%)

Memory
55.4MiB live, 1 408.3MiB allocated
Rules
10 592×lower-*.f64
10 592×lower-*.f32
10 454×lower-*.f64
10 454×lower-*.f32
8 912×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068838791
1238138599
0859737522
059446
099448
1342407
22895387
08702383
066133953
1228933686
0818932690
076576
0125576
1439553
23352549
09063545
01778
02678
18278
255078
3707378
0866178
06288158
121898136
084797930
082602
0131602
1412602
22931570
09700568
068637288
1236637096
0851736019
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
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 1 979 to 1 011 computations (48.9% saved)

preprocess255.0ms (1.8%)

Memory
-10.1MiB live, 418.6MiB allocated
Remove

(negabs w0)

(abs d)

Compiler

Compiled 2 740 to 1 334 computations (51.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...