Henrywood and Agarwal, Equation (9a)

Time bar (total: 15.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze536.0ms (3.6%)

Memory
7.9MiB live, 829.6MiB 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)

sample1.8s (12.3%)

Memory
39.5MiB live, 2 687.4MiB allocated
Samples
905.0ms8 256×0valid
303.0ms2 833×0invalid
Precisions
Click to see histograms. Total time spent on operations: 803.0ms
ival-mult: 348.0ms (43.3% of total)
ival-div: 178.0ms (22.2% of total)
ival-pow2: 125.0ms (15.6% of total)
ival-sqrt: 75.0ms (9.3% of total)
ival-sub: 53.0ms (6.6% of total)
exact: 11.0ms (1.4% of total)
ival-true: 9.0ms (1.1% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain255.0ms (1.7%)

Memory
1.9MiB live, 253.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
320-2(-2.2957835620550036e+264 -8.880646610504484e+67 -6.961488287734616e-68 -4.7875976338032466e-110 -1.5412999797042164e+203 1.1984563583476958e-83)(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
290-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
230-2(1.695068595608054e-84 6.371801011480971e-167 1.2989506231604242e-154 -3.512699912070907e-268 1.912405088100736e+61 -2.3130421224221106e-308)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
120-0-(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
00-0-D
00-0-(*.f64 #s(literal 2 binary64) d)
00-0-(/.f64 h l)
00-0-(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
00-0-d
00-0-#s(literal 1 binary64)
00-0-(*.f64 M D)
00-0-w0
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
00-0-#s(literal 2 binary64)
00-0-l
00-0-M
00-0-h
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))oflow-rescue290
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow64
↳(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))overflow68
↳(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))overflow39
↳(*.f64 M D)overflow21
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow33
↳(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow68
↳(/.f64 h l)overflow28
*.f64(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))n*o120
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n90
↳(*.f64 M D)overflow21
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u30
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow64
↳(*.f64 M D)overflow21
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow33
↳(/.f64 h l)underflow34
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o20
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))u*o10
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow101
↳(*.f64 M D)underflow26
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow41
↳(/.f64 h l)overflow28
Confusion
Predicted +Predicted -
+3911
-13193
Precision
0.75
Recall
0.78
Confusion?
Predicted +Predicted MaybePredicted -
+39011
-130193
Precision?
0.75
Recall?
0.78
Freqs
test
numberfreq
0204
148
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
55.0ms512×0valid
Compiler

Compiled 218 to 55 computations (74.8% saved)

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

preprocess194.0ms (1.3%)

Memory
-20.8MiB live, 165.5MiB allocated
Algorithm
1×egg-herbie
Rules
5 232×lower-*.f32
5 224×lower-*.f64
5 184×lower-/.f32
5 180×lower-/.f64
1 444×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

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

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify174.0ms (1.2%)

Memory
25.4MiB live, 141.4MiB 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

localize60.0ms (0.4%)

Memory
-3.6MiB live, 35.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy2.8609656156878045
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy5.156331283701666
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy6.707788810989373
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy7.177683059228664
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Samples
51.0ms256×0valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 30.0ms (76% of total)
ival-div: 3.0ms (7.6% of total)
ival-sqrt: 2.0ms (5.1% of total)
ival-pow2: 2.0ms (5.1% of total)
ival-sub: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series180.0ms (1.2%)

Memory
1.7MiB live, 116.8MiB 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>) () ())) ())
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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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (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
40.0ms
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)))
30.0ms
M
@0
((pow (/ (* M D) (* 2 d)) 2) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
6.0ms
l
@0
((pow (/ (* M D) (* 2 d)) 2) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms
h
@inf
((pow (/ (* M D) (* 2 d)) 2) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
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)))

simplify332.0ms (2.2%)

Memory
-33.0MiB live, 201.2MiB 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))

rewrite241.0ms (1.6%)

Memory
19.8MiB live, 213.0MiB 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)))

eval244.0ms (1.6%)

Memory
-0.6MiB live, 230.2MiB allocated
Compiler

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

prune444.0ms (3%)

Memory
-25.6MiB live, 381.0MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New993131 006
Fresh000
Picked101
Done000
Total994131 007
Accuracy
88.9%
Counts
1 007 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64)) (*.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 1 binary64))))
▶76.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
▶77.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
78.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
84.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
78.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
▶86.8%
(*.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))))
76.4%
(*.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))))
54.5%
(*.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 l (*.f64 d d)))) #s(literal 1 binary64)))))
▶15.9%
(*.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)))))
53.8%
(*.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))))
▶64.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
53.2%
#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 778 to 458 computations (41.1% saved)

simplify120.0ms (0.8%)

Memory
21.6MiB live, 132.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
cost-diff192
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))
cost-diff384
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
cost-diff128
(fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))
cost-diff384
(/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l)
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
cost-diff192
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
cost-diff512
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
Rules
8 990×lower-*.f32
8 946×lower-*.f64
2 102×lower-/.f32
2 086×lower-/.f64
1 676×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062564
0105567
1225567
2775554
35352554
08235551
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 (/.f64 M d) h)
(/.f64 M d)
h
(neg.f64 l)
l
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l)
(*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))
(*.f64 D M)
D
M
(/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(*.f64 #s(literal 4 binary64) (*.f64 d d))
#s(literal 4 binary64)
(*.f64 d d)
d
l
(neg.f64 h)
h
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (*.f64 D M) #s(literal -1/2 binary64))
(*.f64 D M)
D
M
#s(literal -1/2 binary64)
d
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(*.f64 (/.f64 h l) D)
(/.f64 h l)
h
l
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)))) (*.f64 h (/.f64 M (*.f64 l d))) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)))) (*.f64 h (/.f64 M (*.f64 l d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)))) (*.f64 h (/.f64 M (*.f64 l d))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) h) (/.f64 M (*.f64 l d)))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 (/.f64 M d) h)
(*.f64 h (/.f64 M d))
(/.f64 M d)
h
(neg.f64 l)
l
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 h (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) (*.f64 D M))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h (*.f64 D M)) (/.f64 (*.f64 D M) (*.f64 (*.f64 (*.f64 d d) l) #s(literal -4 binary64))) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 h (*.f64 D M)) (/.f64 (*.f64 D M) (*.f64 (*.f64 (*.f64 d d) l) #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))
(fma.f64 (*.f64 h (*.f64 D M)) (/.f64 (*.f64 D M) (*.f64 (*.f64 (*.f64 d d) l) #s(literal -4 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l)
(*.f64 (*.f64 (*.f64 D D) M) (/.f64 M (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l)))
(*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))
(*.f64 (*.f64 (*.f64 D D) M) (/.f64 M (*.f64 #s(literal 4 binary64) (*.f64 d d))))
(*.f64 D M)
D
M
(/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(*.f64 (/.f64 D (*.f64 #s(literal 4 binary64) (*.f64 d d))) M)
(*.f64 #s(literal 4 binary64) (*.f64 d d))
#s(literal 4 binary64)
(*.f64 d d)
d
l
(neg.f64 h)
h
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)))) (*.f64 h (/.f64 M (*.f64 l d))) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)))) (*.f64 h (/.f64 M (*.f64 l d))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)))) (*.f64 h (/.f64 M (*.f64 l d))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d)
(*.f64 (*.f64 D M) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 D M))
(*.f64 D M)
D
M
#s(literal -1/2 binary64)
d
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(*.f64 (*.f64 (*.f64 h #s(literal 1/2 binary64)) D) (/.f64 M (*.f64 l d)))
(*.f64 (/.f64 h l) D)
(/.f64 h l)
h
l
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize198.0ms (1.3%)

Memory
13.6MiB live, 214.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy4.469042239237934
(*.f64 (/.f64 h l) D)
accuracy5.16367639074618
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
accuracy6.707788810989373
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
accuracy8.952258606686605
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
accuracy4.01766916359461
(/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l)
accuracy4.037928086606386
(*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))
accuracy6.707788810989373
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))
accuracy10.88200438874296
(/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
accuracy7.772283765030339
(*.f64 (*.f64 M M) D)
accuracy8.159505602972885
(*.f64 l (*.f64 d d))
accuracy11.761851881587644
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
accuracy39.42978144594645
#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)))
accuracy2.8609656156878045
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy22.820441981547763
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy6.670058104726876
(*.f64 (/.f64 M d) h)
accuracy6.707788810989373
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
accuracy7.124836857756004
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy8.122634396650202
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
Samples
147.0ms256×0valid
Compiler

Compiled 517 to 62 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 60.0ms (66.5% of total)
ival-div: 15.0ms (16.6% of total)
ival-sqrt: 6.0ms (6.6% of total)
ival-add: 3.0ms (3.3% of total)
ival-neg: 2.0ms (2.2% of total)
ival-pow2: 2.0ms (2.2% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series277.0ms (1.8%)

Memory
-11.0MiB live, 313.4MiB allocated
Counts
28 → 1 488
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (patch (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (patch (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 M d) h) (patch (*.f64 (/.f64 M d) h) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) D) (patch (*.f64 (*.f64 M M) D) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) (patch (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) (patch (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 h l) D) (patch (*.f64 (/.f64 h l) D) #<representation binary64>) () ())
Outputs
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt (* 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 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt (* 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 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt (* 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 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt (* 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 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt (* 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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
36.0ms
M
@0
((/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1) (* w0 (sqrt (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1))) (sqrt (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (* M M) D) (/ (* D M) (* 4 (* d d))) (* (* D M) (/ (* D M) (* 4 (* d d)))) (/ (* (* D M) -1/2) d) (* (/ h l) D))
17.0ms
D
@-inf
((/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1) (* w0 (sqrt (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1))) (sqrt (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (* M M) D) (/ (* D M) (* 4 (* d d))) (* (* D M) (/ (* D M) (* 4 (* d d)))) (/ (* (* D M) -1/2) d) (* (/ h l) D))
11.0ms
w0
@-inf
((/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1) (* w0 (sqrt (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1))) (sqrt (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (* M M) D) (/ (* D M) (* 4 (* d d))) (* (* D M) (/ (* D M) (* 4 (* d d)))) (/ (* (* D M) -1/2) d) (* (/ h l) D))
10.0ms
h
@inf
((/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1) (* w0 (sqrt (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1))) (sqrt (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (* M M) D) (/ (* D M) (* 4 (* d d))) (* (* D M) (/ (* D M) (* 4 (* d d)))) (/ (* (* D M) -1/2) d) (* (/ h l) D))
7.0ms
D
@0
((/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1) (* w0 (sqrt (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1))) (sqrt (+ (* (/ (* (* D M) (/ (* D M) (* 4 (* d d)))) l) (neg h)) 1)) (* (* (/ h l) D) (* (/ 1/2 d) M)) (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1) (* w0 (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1))) (sqrt (+ (* (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M))) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (* M M) D) (/ (* D M) (* 4 (* d d))) (* (* D M) (/ (* D M) (* 4 (* d d)))) (/ (* (* D M) -1/2) d) (* (/ h l) D))

simplify401.0ms (2.7%)

Memory
-10.4MiB live, 502.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 420×lower-*.f64
10 420×lower-*.f32
8 468×lower-fma.f64
8 468×lower-fma.f32
2 730×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066037011
1227736781
0817235733
Stop Event
1×iter limit
1×node limit
Counts
1 488 → 1 453
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
1
(+ 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
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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w0
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1
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(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -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))))
(* -1/4 (/ (* (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) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* D M) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* -1/2 (/ (* 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 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.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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(* (/ (* 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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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (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 M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(* (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 (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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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)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ 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)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) d)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(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))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 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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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* -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)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 l (*.f64 d d))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 l (*.f64 d d))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 l (*.f64 d d))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 l (*.f64 d d))))
(* -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)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 l (*.f64 d d))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 l (*.f64 d d))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 l (*.f64 d d))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.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))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #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 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) w0) (*.f64 (*.f64 h h) h)) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0)) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/8 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)) #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 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 h)) (* d l)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))
(* 1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))
(* 1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))
(* 1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h 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 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #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 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) w0) (*.f64 (*.f64 h h) h)) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0)) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/8 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)) #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 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 h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(/ (* M h) d)
(/.f64 (*.f64 h M) d)
(/ (* M h) d)
(/.f64 (*.f64 h M) d)
(/ (* M h) d)
(/.f64 (*.f64 h M) d)
(/ (* M h) d)
(/.f64 (*.f64 h M) d)
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(* (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 M) (pow d 2)))
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* D M) (pow d 2)))
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 M (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.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))

rewrite304.0ms (2%)

Memory
20.5MiB live, 335.9MiB allocated
Rules
4 362×lower-*.f32
4 330×lower-/.f32
4 318×lower-*.f64
4 314×lower-/.f64
3 004×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062466
0105469
1339412
22472412
08590401
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 854
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l)
(fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 M d) h)
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 M M) D)
(/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (/.f64 h l) D)
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 h (/.f64 M d))) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 #s(literal 1/2 binary64) D)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) D)) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 h (/.f64 M d))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 h (/.f64 M d)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) D) l))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) D) #s(literal -1 binary64)) (/.f64 (*.f64 h (/.f64 M d)) l))
(*.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) l))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) #s(literal 1 binary64)) (/.f64 h l))
(*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 #s(literal 1/2 binary64) D))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M))
(*.f64 (/.f64 #s(literal -1 binary64) l) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) h)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 D (/.f64 M (*.f64 d d)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) M)) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 4 binary64) d))) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) (*.f64 d d))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (*.f64 d d))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 D) M))) (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 d d)))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 d d)))
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) d)
(/.f64 (*.f64 D (/.f64 M (*.f64 d d))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) M) (*.f64 d d))
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 4 binary64) d)) d)
(/.f64 (/.f64 (*.f64 M D) (*.f64 d d)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64))) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) M)) (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 d d))))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 d d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 M D) #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))))
(/.f64 (*.f64 (neg.f64 D) M) (*.f64 #s(literal -4 binary64) (*.f64 d d)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 (*.f64 M D) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D))))
(neg.f64 (/.f64 (*.f64 (neg.f64 D) M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))
(neg.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal -4 binary64) (*.f64 d d))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (*.f64 d d))) (/.f64 (*.f64 M D) (*.f64 #s(literal -4 binary64) (*.f64 d d))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) D) D) M)
(*.f64 (*.f64 (*.f64 M D) (*.f64 D #s(literal 1/4 binary64))) (/.f64 M (*.f64 d d)))
(*.f64 (*.f64 (*.f64 M D) D) (*.f64 M (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 4 binary64) d)) (/.f64 (*.f64 M D) d))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (/.f64 (*.f64 M D) (*.f64 d d)))
(*.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d))) D)
(*.f64 (*.f64 D #s(literal 1/4 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (*.f64 M D)))
(*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) D) (*.f64 M D))
(*.f64 (*.f64 M D) (*.f64 (*.f64 M (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) D))
(*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(*.f64 M (*.f64 D (*.f64 (*.f64 M (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) D)))
(*.f64 D (*.f64 (*.f64 M (/.f64 #s(literal 1/4 binary64) (*.f64 d d))) (*.f64 M D)))
(*.f64 D (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d))))
(pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) D) D)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) d))) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal 4 binary64))) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 M D))) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 M D))) (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 d d))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 (neg.f64 D) M))) (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 d d))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 d d))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 M D))) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) d)) d)
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal 4 binary64)) (*.f64 d d))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 M D)) (*.f64 d d))
(/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) #s(literal 1/4 binary64))) (*.f64 d d))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 d d)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M M) D))) (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 d d))))
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 M D)) (*.f64 #s(literal -4 binary64) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 M D) (*.f64 (neg.f64 D) M)) (*.f64 #s(literal -4 binary64) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M D)) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) D) D))))
(/.f64 (*.f64 (neg.f64 D) M) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))))
(/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M M) D)) (*.f64 #s(literal -4 binary64) (*.f64 d d)))
(/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D))))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) D) D)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (*.f64 d d))) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal -4 binary64) (*.f64 d d))))
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D))
(*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 #s(literal -1/2 binary64) (*.f64 M D)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 #s(literal 1 binary64) d))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) d)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 M D) d))
(*.f64 (*.f64 M D) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d))
(*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))
(*.f64 D (*.f64 (*.f64 #s(literal -1/2 binary64) M) (/.f64 #s(literal 1 binary64) d)))
(*.f64 D (*.f64 M (/.f64 #s(literal -1/2 binary64) d)))
(pow.f64 (/.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 M D))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 M D))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) #s(literal 1 binary64))) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) #s(literal 1 binary64)) d)
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 M D))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 M D)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 M D))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 M D))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 M D))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 M D)))) #s(literal -1 binary64)))
(*.f64 (*.f64 h D) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 h l) D)
(*.f64 h (*.f64 (/.f64 #s(literal 1 binary64) l) D))
(*.f64 h (/.f64 D l))
(*.f64 D (/.f64 h l))
(pow.f64 (/.f64 l (*.f64 h D)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 h) D)) l)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) D)) (neg.f64 (/.f64 l h)))
(/.f64 (neg.f64 (*.f64 D (neg.f64 h))) l)
(/.f64 (neg.f64 (neg.f64 (*.f64 h D))) l)
(/.f64 (neg.f64 (*.f64 D #s(literal 1 binary64))) (neg.f64 (/.f64 l h)))
(/.f64 (*.f64 (neg.f64 h) D) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 l h))
(/.f64 (*.f64 D (neg.f64 h)) (neg.f64 l))
(/.f64 (*.f64 D #s(literal 1 binary64)) (/.f64 l h))
(/.f64 (neg.f64 (*.f64 h D)) (neg.f64 l))
(/.f64 (neg.f64 D) (neg.f64 (/.f64 l h)))
(/.f64 (*.f64 h D) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 h D))))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 h D)))
(/.f64 D (/.f64 l h))

eval639.0ms (4.3%)

Memory
1.4MiB live, 544.4MiB allocated
Compiler

Compiled 77 699 to 4 055 computations (94.8% saved)

prune642.0ms (4.3%)

Memory
-9.3MiB live, 1 246.4MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New2 290172 307
Fresh448
Picked415
Done000
Total2 298222 320
Accuracy
89.6%
Counts
2 320 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64)) (*.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 1 binary64))))
▶74.6%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
83.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
75.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d))) D) l) (neg.f64 h) #s(literal 1 binary64))))
81.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))) #s(literal 1 binary64))))
78.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
75.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
78.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
▶85.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
75.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
54.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
19.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) l)) d) d) (*.f64 #s(literal -1/4 binary64) h)))))
17.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
▶18.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
▶18.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
17.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M M) (*.f64 l d)) (/.f64 (*.f64 D D) d)) (*.f64 #s(literal -1/4 binary64) h)))))
16.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
18.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
16.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
53.8%
(*.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))))
✓64.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶53.2%
#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 1 262 to 776 computations (38.5% saved)

simplify113.0ms (0.8%)

Memory
35.3MiB live, 230.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
cost-diff384
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
cost-diff384
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
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
(fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
cost-diff512
(*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
Rules
6 864×lower-*.f32
6 806×lower-*.f64
4 734×lower-/.f32
4 718×lower-/.f64
1 654×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070689
0119692
1254692
2893692
33943685
46644685
08182685
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) D)
#s(literal 1/2 binary64)
D
(*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d))
(*.f64 h M)
h
M
(*.f64 (neg.f64 l) d)
(neg.f64 l)
l
d
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1 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)
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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (*.f64 M D) M) D)
(*.f64 (*.f64 M D) M)
(*.f64 M D)
M
D
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))
(/.f64 (*.f64 (*.f64 M M) D) l)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
l
(*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))
(/.f64 D (*.f64 d d))
(*.f64 d d)
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d)
(*.f64 #s(literal -1/2 binary64) (*.f64 M D))
#s(literal -1/2 binary64)
(*.f64 M D)
M
D
d
(/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))
(*.f64 (*.f64 h D) #s(literal 1/2 binary64))
(*.f64 h D)
h
#s(literal 1/2 binary64)
(*.f64 l d)
l
#s(literal 1 binary64)
w0
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) D)
(*.f64 D #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
D
(*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (*.f64 (*.f64 d d) l)) (*.f64 M h))
(/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d))
(*.f64 (neg.f64 h) (/.f64 M (*.f64 d l)))
(*.f64 h M)
(*.f64 M h)
h
M
(*.f64 (neg.f64 l) d)
(*.f64 d (neg.f64 l))
(neg.f64 l)
l
d
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1 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))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) h) (*.f64 M 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)) h) (*.f64 M 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)) h) (*.f64 M 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 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) (*.f64 (*.f64 M D) M)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) (*.f64 (*.f64 M D) M))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) (*.f64 (*.f64 M D) M)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 h (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) (*.f64 (*.f64 M D) M))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) (*.f64 M M))
(*.f64 (*.f64 (*.f64 M D) M) D)
(*.f64 (*.f64 M D) M)
(*.f64 M D)
M
D
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) (*.f64 (*.f64 M D) M)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) (*.f64 (*.f64 M D) M))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) (*.f64 (*.f64 M D) M)))
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (*.f64 h (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) (*.f64 (*.f64 M D) M))
(/.f64 (*.f64 (*.f64 M M) D) l)
(/.f64 (*.f64 (*.f64 M D) M) l)
(*.f64 (*.f64 M M) D)
(*.f64 (*.f64 M D) M)
(*.f64 M M)
M
D
l
(*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64))
(/.f64 D (*.f64 d d))
(*.f64 d d)
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)))
(*.f64 (*.f64 (*.f64 h D) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/2 binary64) (*.f64 M D)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d)
(*.f64 #s(literal -1/2 binary64) (*.f64 M D))
#s(literal -1/2 binary64)
(*.f64 M D)
M
D
d
(/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 d l)) D) h)
(*.f64 (*.f64 h D) #s(literal 1/2 binary64))
(*.f64 h D)
h
#s(literal 1/2 binary64)
(*.f64 l d)
(*.f64 d l)
l
#s(literal 1 binary64)
w0

localize174.0ms (1.2%)

Memory
-32.7MiB live, 528.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.2019279960910207
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)))
accuracy5.16367639074618
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d)
accuracy6.707788810989373
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)))
accuracy9.873448877872868
(/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))
accuracy7.772283765030339
(*.f64 (*.f64 M M) D)
accuracy8.939656500322842
(/.f64 D (*.f64 d d))
accuracy9.397038996523838
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))
accuracy39.42978144594645
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))
accuracy6.707788810989373
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
accuracy8.159505602972885
(*.f64 l (*.f64 d d))
accuracy11.761851881587644
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d)))
accuracy39.42978144594645
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
accuracy9.071356648028917
(*.f64 h (*.f64 M M))
accuracy10.064304683305778
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
accuracy12.163165086291185
#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))
accuracy14.165094266933513
(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)
accuracy2.8609656156878045
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
accuracy5.2574132949400045
(/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d))
accuracy6.707788810989373
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))
accuracy7.124836857756004
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
Samples
121.0ms256×0valid
Compiler

Compiled 569 to 67 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 49.0ms (56.6% of total)
ival-div: 24.0ms (27.7% of total)
ival-sqrt: 5.0ms (5.8% of total)
ival-add: 3.0ms (3.5% of total)
ival-pow2: 2.0ms (2.3% of total)
ival-sub: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series220.0ms (1.5%)

Memory
10.8MiB live, 532.6MiB allocated
Counts
30 → 1 548
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (patch (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))) (patch (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) (patch (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (patch (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) #<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 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 D (*.f64 d d)) (patch (/.f64 D (*.f64 d d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) D) (patch (*.f64 (*.f64 M M) D) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) #<representation binary64>) () ())
Outputs
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (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>) () ())) ())
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#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* M h) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (patch (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* M h) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (patch (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* M h) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (patch (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* M h) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (patch (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) 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 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 D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ D (pow d 2)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 d d)) (patch (/.f64 D (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ D (pow d 2)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 d d)) (patch (/.f64 D (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ D (pow d 2)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 d d)) (patch (/.f64 D (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ D (pow d 2)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 d d)) (patch (/.f64 D (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D h) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D h) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D h) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D h) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (patch (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
21.0ms
l
@0
((* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (* w0 (sqrt (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D))) 1))) (sqrt (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D))) 1)) (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) 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) (* (* 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))) (* (/ (* (* (* M D) M) D) (* l (* d d))) (* -1/4 h)) (* (/ (* (* M M) D) l) (* (/ D (* d d)) (* -1/4 h))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (* (sqrt (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1)) w0) (sqrt (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1)) (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1) (* (* (/ 1/2 d) M) D) (/ (* h M) (* (neg l) d)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* h (* M M)) (/ (* (* (* M D) M) D) (* l (* d d))) (* l (* d d)) (/ D (* d d)) (* (* M M) D) (/ (* (* h D) 1/2) (* l d)) (/ (* -1/2 (* M D)) d))
14.0ms
l
@inf
((* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (* w0 (sqrt (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D))) 1))) (sqrt (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D))) 1)) (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) 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) (* (* 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))) (* (/ (* (* (* M D) M) D) (* l (* d d))) (* -1/4 h)) (* (/ (* (* M M) D) l) (* (/ D (* d d)) (* -1/4 h))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (* (sqrt (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1)) w0) (sqrt (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1)) (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1) (* (* (/ 1/2 d) M) D) (/ (* h M) (* (neg l) d)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* h (* M M)) (/ (* (* (* M D) M) D) (* l (* d d))) (* l (* d d)) (/ D (* d d)) (* (* M M) D) (/ (* (* h D) 1/2) (* l d)) (/ (* -1/2 (* M D)) d))
10.0ms
d
@0
((* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (* w0 (sqrt (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D))) 1))) (sqrt (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D))) 1)) (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) 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) (* (* 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))) (* (/ (* (* (* M D) M) D) (* l (* d d))) (* -1/4 h)) (* (/ (* (* M M) D) l) (* (/ D (* d d)) (* -1/4 h))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (* (sqrt (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1)) w0) (sqrt (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1)) (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1) (* (* (/ 1/2 d) M) D) (/ (* h M) (* (neg l) d)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* h (* M M)) (/ (* (* (* M D) M) D) (* l (* d d))) (* l (* d d)) (/ D (* d d)) (* (* M M) D) (/ (* (* h D) 1/2) (* l d)) (/ (* -1/2 (* M D)) d))
8.0ms
D
@0
((* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (* w0 (sqrt (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D))) 1))) (sqrt (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D))) 1)) (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) 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) (* (* 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))) (* (/ (* (* (* M D) M) D) (* l (* d d))) (* -1/4 h)) (* (/ (* (* M M) D) l) (* (/ D (* d d)) (* -1/4 h))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (* (sqrt (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1)) w0) (sqrt (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1)) (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1) (* (* (/ 1/2 d) M) D) (/ (* h M) (* (neg l) d)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* h (* M M)) (/ (* (* (* M D) M) D) (* l (* d d))) (* l (* d d)) (/ D (* d d)) (* (* M M) D) (/ (* (* h D) 1/2) (* l d)) (/ (* -1/2 (* M D)) d))
7.0ms
h
@0
((* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D)) (* w0 (sqrt (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D))) 1))) (sqrt (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) D))) 1)) (+ (* (* 1/2 D) (* (/ (* h M) (* (neg l) d)) (* (* (/ 1/2 d) M) 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) (* (* 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))) (* (/ (* (* (* M D) M) D) (* l (* d d))) (* -1/4 h)) (* (/ (* (* M M) D) l) (* (/ D (* d d)) (* -1/4 h))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (* (sqrt (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1)) w0) (sqrt (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1)) (+ (* (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) M) 1) (* (* (/ 1/2 d) M) D) (/ (* h M) (* (neg l) d)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* h (* M M)) (/ (* (* (* M D) M) D) (* l (* d d))) (* l (* d d)) (/ D (* d d)) (* (* M M) D) (/ (* (* h D) 1/2) (* l d)) (/ (* -1/2 (* M D)) d))

simplify271.0ms (1.8%)

Memory
20.8MiB live, 497.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 610×lower-*.f64
8 610×lower-*.f32
6 640×lower-fma.f64
6 640×lower-fma.f32
4 746×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068737088
1237436920
0861035888
Stop Event
1×iter limit
1×node limit
Counts
1 548 → 1 506
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))))))
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(* (pow M 2) h)
(* (pow M 2) h)
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(* (pow M 2) h)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
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w0
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(+ 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)))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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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))))
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(+ 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))))
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1
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1
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1
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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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
(+ 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
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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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) (* M h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* M h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* M h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* M h)) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 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 (/ (* M h) (* d l)))
(* -1 (/ (* M h) (* d l)))
(* -1 (/ (* M h) (* d l)))
(* -1 (/ (* M h) (* d l)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(/ D (pow d 2))
(/ D (pow d 2))
(/ D (pow d 2))
(/ D (pow d 2))
(* 1/2 (/ (* D h) (* d l)))
(* 1/2 (/ (* D h) (* d l)))
(* 1/2 (/ (* D h) (* d l)))
(* 1/2 (/ (* D h) (* d l)))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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) (* M h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* M h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* M h)) (* (pow d 2) l)))
w0
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* -1 (/ (* M h) (* d l)))
(* -1 (/ (* M h) (* d l)))
(* -1 (/ (* M h) (* d l)))
(* -1 (/ (* M h) (* d l)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(/ D (pow d 2))
(/ D (pow d 2))
(/ D (pow d 2))
(/ D (pow d 2))
(* 1/2 (/ (* D h) (* d l)))
(* 1/2 (/ (* D h) (* d l)))
(* 1/2 (/ (* D h) (* d l)))
(* 1/2 (/ (* D h) (* d 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 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.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 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (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 (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.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)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) d)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.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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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (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))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.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) (* M h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* M h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* M h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* M h)) (* (pow d 2) l)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) #s(literal -1/128 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) D) D (fma.f64 (*.f64 #s(literal -1/128 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 h h) h) (pow.f64 M #s(literal 6 binary64)))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.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 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.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 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) #s(literal -1/128 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) D) D (fma.f64 (*.f64 #s(literal -1/128 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 h h) h) (pow.f64 M #s(literal 6 binary64)))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.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 (/ (* (pow D 2) (* M h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))
(* -1/4 (/ (* (pow D 2) (* M h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))
(* -1/4 (/ (* (pow D 2) (* M h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))
(* -1/4 (/ (* (pow D 2) (* M h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) #s(literal -1/128 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) D) D (fma.f64 (*.f64 #s(literal -1/128 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 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 l (*.f64 d d)))) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 h h) h) (pow.f64 M #s(literal 6 binary64)))) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.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 (/ (* M h) (* d l)))
(*.f64 (neg.f64 M) (/.f64 h (*.f64 l d)))
(* -1 (/ (* M h) (* d l)))
(*.f64 (neg.f64 M) (/.f64 h (*.f64 l d)))
(* -1 (/ (* M h) (* d l)))
(*.f64 (neg.f64 M) (/.f64 h (*.f64 l d)))
(* -1 (/ (* M h) (* d l)))
(*.f64 (neg.f64 M) (/.f64 h (*.f64 l 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 w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(* (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))
(/ D (pow d 2))
(/.f64 D (*.f64 d d))
(/ D (pow d 2))
(/.f64 D (*.f64 d d))
(/ D (pow d 2))
(/.f64 D (*.f64 d d))
(/ D (pow d 2))
(/.f64 D (*.f64 d d))
(* 1/2 (/ (* D h) (* d l)))
(*.f64 (*.f64 #s(literal 1/2 binary64) D) (/.f64 h (*.f64 l d)))
(* 1/2 (/ (* D h) (* d l)))
(*.f64 (*.f64 #s(literal 1/2 binary64) D) (/.f64 h (*.f64 l d)))
(* 1/2 (/ (* D h) (* d l)))
(*.f64 (*.f64 #s(literal 1/2 binary64) D) (/.f64 h (*.f64 l d)))
(* 1/2 (/ (* D h) (* d l)))
(*.f64 (*.f64 #s(literal 1/2 binary64) D) (/.f64 h (*.f64 l 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))

rewrite217.0ms (1.4%)

Memory
-14.0MiB live, 293.7MiB allocated
Rules
4 434×lower-*.f32
4 376×lower-*.f64
4 252×lower-/.f32
4 236×lower-/.f64
3 088×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070548
0119548
1381530
22753526
08202526
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
30 → 925
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #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))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(*.f64 h (*.f64 M M))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d)))
(*.f64 l (*.f64 d d))
(/.f64 D (*.f64 d d))
(*.f64 (*.f64 M M) D)
(/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d)
Outputs
(*.f64 (*.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) h) (/.f64 M (*.f64 d (neg.f64 l))))
(*.f64 (*.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (/.f64 h (neg.f64 l))) (/.f64 M d))
(*.f64 (*.f64 (*.f64 (/.f64 M (*.f64 d (neg.f64 l))) h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))
(*.f64 (*.f64 (*.f64 (/.f64 M (*.f64 d (neg.f64 l))) h) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M))
(*.f64 (/.f64 (*.f64 M h) d) (/.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (neg.f64 l)))
(*.f64 (*.f64 M (/.f64 h (neg.f64 l))) (/.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) d))
(*.f64 (*.f64 (*.f64 (*.f64 M h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (/.f64 #s(literal -1 binary64) (*.f64 d l)))
(*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D)
(*.f64 (/.f64 h (neg.f64 l)) (*.f64 (/.f64 M d) (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))))
(*.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 M (*.f64 d (neg.f64 l))) h))
(*.f64 D (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) (*.f64 D (*.f64 (/.f64 M (*.f64 d (neg.f64 l))) h)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 M (*.f64 d (neg.f64 l))) h)))
(*.f64 (*.f64 (/.f64 M (*.f64 d (neg.f64 l))) h) (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))
(*.f64 (*.f64 M h) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d) (*.f64 d l)))
(*.f64 (*.f64 M h) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 d l)) (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))))
(*.f64 h (*.f64 (/.f64 M (*.f64 d (neg.f64 l))) (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 D M))) (*.f64 (neg.f64 l) (/.f64 d (*.f64 M h)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (neg.f64 l) (/.f64 d (*.f64 M h))) (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 D M)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 d (neg.f64 l)) (*.f64 (*.f64 (*.f64 M h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) d)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (neg.f64 l))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 M (/.f64 h (neg.f64 l))) (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))) (*.f64 d (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 M (/.f64 h (neg.f64 l))))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (neg.f64 M) h))) (*.f64 d (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 l) (/.f64 d (*.f64 M h)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))) (*.f64 d (neg.f64 l)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) d) (neg.f64 l))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (neg.f64 l)) d)
(/.f64 (*.f64 (*.f64 M (/.f64 h (neg.f64 l))) (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) d)
(/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) (*.f64 d l))
(/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 M (/.f64 h (neg.f64 l)))) d)
(/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (neg.f64 M) h)) (*.f64 d l))
(/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)) (*.f64 (neg.f64 l) (/.f64 d (*.f64 M h))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) (*.f64 d l))
(/.f64 (*.f64 (*.f64 (*.f64 M h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 d (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d (neg.f64 l)) (*.f64 (*.f64 (*.f64 M h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d) (neg.f64 (*.f64 (neg.f64 l) (/.f64 d (*.f64 M h)))))
(/.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (neg.f64 l) (/.f64 d (*.f64 M h))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (neg.f64 l)) (*.f64 (*.f64 (*.f64 M h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))))
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 M h) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 d l)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D))))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D)))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l)) D) D)) #s(literal 1/4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D))))
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(*.f64 (*.f64 d l) d)
(*.f64 (*.f64 d d) l)
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(*.f64 l (*.f64 d d))
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(/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 d d))
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(/.f64 (/.f64 D d) d)
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) d)) (/.f64 D (*.f64 (neg.f64 d) d)))
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(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 D h) #s(literal -1/2 binary64)) d)) (neg.f64 (neg.f64 l)))
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(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 h l))))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 D h) #s(literal -1/2 binary64)))) (*.f64 d (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 D h) #s(literal 1 binary64))) (neg.f64 (*.f64 l (*.f64 #s(literal 2 binary64) d))))
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(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 D h) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 d (neg.f64 l)))
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(/.f64 (*.f64 (*.f64 D (/.f64 h l)) #s(literal 1/2 binary64)) d)
(/.f64 (/.f64 (*.f64 (*.f64 D h) #s(literal 1/2 binary64)) d) l)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 h l)))) (neg.f64 d))
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(/.f64 (*.f64 (*.f64 (*.f64 D h) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d l))
(/.f64 (*.f64 (*.f64 D h) #s(literal 1 binary64)) (*.f64 l (*.f64 #s(literal 2 binary64) d)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 h l))) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 #s(literal 1/2 binary64) (*.f64 D (/.f64 h l))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 l (*.f64 D h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 D h)) (*.f64 #s(literal 2 binary64) d)))
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 d (neg.f64 l))) (/.f64 (*.f64 (*.f64 D h) #s(literal -1/2 binary64)) (*.f64 d l)))
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(*.f64 (*.f64 D (/.f64 M d)) #s(literal -1/2 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 D M))))
(neg.f64 (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)))
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eval572.0ms (3.8%)

Memory
-58.0MiB live, 738.0MiB allocated
Compiler

Compiled 76 401 to 4 601 computations (94% saved)

prune611.0ms (4.1%)

Memory
-6.5MiB live, 1 159.3MiB allocated
Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New2 436232 459
Fresh9716
Picked415
Done011
Total2 449322 481
Accuracy
89.6%
Counts
2 481 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64)) (*.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 1 binary64))))
71.3%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 D h) #s(literal 1/2 binary64))) (*.f64 (neg.f64 d) (*.f64 d l))) M #s(literal 1 binary64))) w0)
75.8%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
74.8%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))) w0)
57.0%
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))) M #s(literal 1 binary64))) w0)
▶83.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
81.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))) #s(literal 1 binary64))))
78.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
75.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
78.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
19.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 D h) #s(literal -1/4 binary64))) (*.f64 d l)) d))))
21.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 d l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
19.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) l)) d) d) (*.f64 #s(literal -1/4 binary64) h)))))
19.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d l) d)) (*.f64 #s(literal -1/4 binary64) h)))))
✓18.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
24.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
▶19.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
18.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
20.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
✓64.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
51.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
57.9%
#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)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
69.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
51.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
▶61.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
54.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
56.4%
#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 (*.f64 d l) d)) w0))
▶58.2%
#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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 #s(literal 1 binary64) (*.f64 d l)) (pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0)) #s(literal -1 binary64))) w0))
55.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
56.5%
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
▶13.8%
#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 1 789 to 1 083 computations (39.5% saved)

simplify105.0ms (0.7%)

Memory
-7.9MiB live, 145.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
cost-diff704
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l))
cost-diff0
(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)
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 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
cost-diff384
(/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d)
cost-diff384
(/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) w0))
cost-diff384
(*.f64 (/.f64 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
cost-diff384
(/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D))))
cost-diff384
(/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l)
Rules
8 474×lower-*.f32
8 424×lower-*.f64
3 476×lower-/.f32
3 454×lower-/.f64
1 658×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077708
0122706
1260698
2814698
35039698
08153695
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l)
(/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D))))
(*.f64 M D)
M
D
(*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))
(*.f64 #s(literal 4 binary64) d)
#s(literal 4 binary64)
d
(/.f64 d (*.f64 M D))
l
(neg.f64 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
#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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(*.f64 (/.f64 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d))
(/.f64 h (*.f64 d l))
h
(*.f64 d l)
d
l
(/.f64 (*.f64 (*.f64 M M) w0) d)
(*.f64 (*.f64 M M) w0)
(*.f64 M 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 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
(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 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d)
(/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d)
(*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l))
w0
(/.f64 (*.f64 (*.f64 M M) h) l)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
l
d
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M))
(*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64))
(*.f64 (/.f64 D (*.f64 d d)) h)
(/.f64 D (*.f64 d d))
D
(*.f64 d d)
d
h
#s(literal -1/4 binary64)
(*.f64 (*.f64 D M) M)
(*.f64 D M)
M
(/.f64 #s(literal 1 binary64) l)
#s(literal 1 binary64)
l
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 h D) (*.f64 (/.f64 M (*.f64 (*.f64 (*.f64 l #s(literal 4 binary64)) d) d)) (*.f64 D M)) #s(literal -1 binary64)))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))
(sqrt.f64 (neg.f64 (fma.f64 (*.f64 h D) (*.f64 (/.f64 M (*.f64 (*.f64 (*.f64 l #s(literal 4 binary64)) d) d)) (*.f64 D M)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))
(neg.f64 (fma.f64 (*.f64 h D) (*.f64 (/.f64 M (*.f64 (*.f64 (*.f64 l #s(literal 4 binary64)) d) d)) (*.f64 D M)) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l)
(*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 (*.f64 l #s(literal 4 binary64)) d) d)) (*.f64 D M))
(/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D))))
(*.f64 (*.f64 M (/.f64 D (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (*.f64 D M))
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))
(*.f64 (*.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d)
(*.f64 #s(literal 4 binary64) d)
(*.f64 d #s(literal 4 binary64))
#s(literal 4 binary64)
d
(/.f64 d (*.f64 M D))
(/.f64 d (*.f64 D M))
l
(neg.f64 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 (* w0 (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 D D) #s(literal -1/8 binary64)) (*.f64 h M)) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M))))
#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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h M)) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M)))
(*.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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h M)) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M))
(*.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)) h) (*.f64 M 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
#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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h M)) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) w0)
(fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h M)) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(*.f64 (/.f64 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d))
(*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) h) (*.f64 M M))
(/.f64 h (*.f64 d l))
(/.f64 h (*.f64 l d))
h
(*.f64 d l)
(*.f64 l d)
d
l
(/.f64 (*.f64 (*.f64 M M) w0) d)
(*.f64 (*.f64 M M) w0)
(*.f64 M 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 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h M)) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) w0))
(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)
(fma.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h M)) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d)
(*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) h) (*.f64 M M))
(/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d)
(*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 l d)) M) w0) M)
(*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l))
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) w0)
w0
(/.f64 (*.f64 (*.f64 M M) h) l)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
l
d
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 D (*.f64 (*.f64 h (*.f64 (*.f64 #s(literal -1/4 binary64) D) M)) M)) (*.f64 (*.f64 d d) l)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 D (*.f64 (*.f64 h (*.f64 (*.f64 #s(literal -1/4 binary64) D) M)) M)) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 D (*.f64 (*.f64 h (*.f64 (*.f64 #s(literal -1/4 binary64) D) M)) M)) (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l))
(/.f64 (*.f64 D (*.f64 (*.f64 h (*.f64 (*.f64 #s(literal -1/4 binary64) D) M)) M)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D (*.f64 d d)) h)) M) M) D)
(*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D (*.f64 d d)) h))
(*.f64 (/.f64 D (*.f64 d d)) h)
(/.f64 D (*.f64 d d))
D
(*.f64 d d)
d
h
#s(literal -1/4 binary64)
(*.f64 (*.f64 D M) M)
(*.f64 (*.f64 M M) D)
(*.f64 D M)
M
(/.f64 #s(literal 1 binary64) l)
#s(literal 1 binary64)
l

localize173.0ms (1.2%)

Memory
21.4MiB live, 259.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy7.665547196835213
(*.f64 (/.f64 D (*.f64 d d)) h)
accuracy8.797793669303362
(*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M))
accuracy8.939656500322842
(/.f64 D (*.f64 d d))
accuracy39.42978144594645
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))
accuracy6.956683730588237
(*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l))
accuracy9.071356648028917
(*.f64 (*.f64 M M) h)
accuracy12.163165086291185
#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))
accuracy14.165094266933513
(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)
accuracy5.478047984019487
(/.f64 h (*.f64 d l))
accuracy8.833248674431086
(*.f64 (*.f64 M M) w0)
accuracy12.163165086291185
#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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) w0))
accuracy14.165094266933513
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) w0)
accuracy10.064304683305778
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
accuracy12.163165086291185
#s(approx (* w0 (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))))))
accuracy16.915613714793857
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))
accuracy39.312486216121286
#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)))))
accuracy3.579023425452706
(/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D))))
accuracy4.01766916359461
(/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l)
accuracy5.01861826219172
(/.f64 d (*.f64 M D))
accuracy6.707788810989373
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))
Samples
127.0ms256×0valid
Compiler

Compiled 551 to 66 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 49.0ms (59.3% of total)
ival-div: 21.0ms (25.4% of total)
ival-add: 4.0ms (4.8% of total)
ival-sqrt: 3.0ms (3.6% of total)
ival-pow2: 2.0ms (2.4% of total)
ival-sub: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series191.0ms (1.3%)

Memory
-8.1MiB live, 262.7MiB allocated
Counts
29 → 1 512
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) (patch (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))) (patch #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))) (patch (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (patch (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) (patch (*.f64 (/.f64 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) #<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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) w0)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) (patch (/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) (patch (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) #<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 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) 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 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d) w0)) #<representation binary64>) () ())
#s(alt (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) (patch (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) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)) (patch (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l))) #<representation binary64>) () ())
#s(alt (/.f64 d (*.f64 M D)) (patch (/.f64 d (*.f64 M D)) #<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) w0) (patch (*.f64 (*.f64 M M) w0) #<representation binary64>) () ())
#s(alt (/.f64 h (*.f64 d l)) (patch (/.f64 h (*.f64 d l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) h) (patch (*.f64 (*.f64 M M) h) #<representation binary64>) () ())
#s(alt (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) (patch (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) #<representation binary64>) () ())
#s(alt (/.f64 D (*.f64 d d)) (patch (/.f64 D (*.f64 d d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (patch (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 D (*.f64 d d)) h) (patch (*.f64 (/.f64 D (*.f64 d d)) 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 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (patch (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D (*.f64 d d)) h) (patch (*.f64 (/.f64 D (*.f64 d d)) h) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D (*.f64 d d)) h) (patch (*.f64 (/.f64 D (*.f64 d d)) h) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D (*.f64 d d)) h) (patch (*.f64 (/.f64 D (*.f64 d d)) h) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D (*.f64 d d)) h) (patch (*.f64 (/.f64 D (*.f64 d d)) h) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
9.0ms
l
@-inf
((/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (/ (* M D) (* (* 4 d) (/ d (* M D)))) (* w0 (sqrt (+ (* (/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (neg h)) 1))) (sqrt (+ (* (/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (neg 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) (* (* -1/8 (* D D)) (/ (* (* h (* M M)) w0) (* l (* d d)))) (* -1/8 (* D D)) (* (/ h (* d l)) (/ (* (* M M) w0) d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ h (* d l)) (/ (* (* M M) w0) d))) w0) (* (* D D) -1/8) (/ (/ (* w0 (/ (* (* M M) h) l)) d) d) (/ (* w0 (/ (* (* M M) h) l)) d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* w0 (/ (* (* M M) h) l)) d) d)) w0) (* (* (* (* (/ D (* d d)) h) -1/4) (* (* D M) M)) (/ 1 l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ d (* M D)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* (* M M) w0) (/ h (* d l)) (* (* M M) h) (* w0 (/ (* (* M M) h) l)) (/ D (* d d)) (* (* (* (/ D (* d d)) h) -1/4) (* (* D M) M)) (* (/ D (* d d)) h))
9.0ms
w0
@inf
((/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (/ (* M D) (* (* 4 d) (/ d (* M D)))) (* w0 (sqrt (+ (* (/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (neg h)) 1))) (sqrt (+ (* (/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (neg 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) (* (* -1/8 (* D D)) (/ (* (* h (* M M)) w0) (* l (* d d)))) (* -1/8 (* D D)) (* (/ h (* d l)) (/ (* (* M M) w0) d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ h (* d l)) (/ (* (* M M) w0) d))) w0) (* (* D D) -1/8) (/ (/ (* w0 (/ (* (* M M) h) l)) d) d) (/ (* w0 (/ (* (* M M) h) l)) d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* w0 (/ (* (* M M) h) l)) d) d)) w0) (* (* (* (* (/ D (* d d)) h) -1/4) (* (* D M) M)) (/ 1 l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ d (* M D)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* (* M M) w0) (/ h (* d l)) (* (* M M) h) (* w0 (/ (* (* M M) h) l)) (/ D (* d d)) (* (* (* (/ D (* d d)) h) -1/4) (* (* D M) M)) (* (/ D (* d d)) h))
8.0ms
M
@0
((/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (/ (* M D) (* (* 4 d) (/ d (* M D)))) (* w0 (sqrt (+ (* (/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (neg h)) 1))) (sqrt (+ (* (/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (neg 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) (* (* -1/8 (* D D)) (/ (* (* h (* M M)) w0) (* l (* d d)))) (* -1/8 (* D D)) (* (/ h (* d l)) (/ (* (* M M) w0) d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ h (* d l)) (/ (* (* M M) w0) d))) w0) (* (* D D) -1/8) (/ (/ (* w0 (/ (* (* M M) h) l)) d) d) (/ (* w0 (/ (* (* M M) h) l)) d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* w0 (/ (* (* M M) h) l)) d) d)) w0) (* (* (* (* (/ D (* d d)) h) -1/4) (* (* D M) M)) (/ 1 l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ d (* M D)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* (* M M) w0) (/ h (* d l)) (* (* M M) h) (* w0 (/ (* (* M M) h) l)) (/ D (* d d)) (* (* (* (/ D (* d d)) h) -1/4) (* (* D M) M)) (* (/ D (* d d)) h))
8.0ms
d
@inf
((/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (/ (* M D) (* (* 4 d) (/ d (* M D)))) (* w0 (sqrt (+ (* (/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (neg h)) 1))) (sqrt (+ (* (/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (neg 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) (* (* -1/8 (* D D)) (/ (* (* h (* M M)) w0) (* l (* d d)))) (* -1/8 (* D D)) (* (/ h (* d l)) (/ (* (* M M) w0) d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ h (* d l)) (/ (* (* M M) w0) d))) w0) (* (* D D) -1/8) (/ (/ (* w0 (/ (* (* M M) h) l)) d) d) (/ (* w0 (/ (* (* M M) h) l)) d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* w0 (/ (* (* M M) h) l)) d) d)) w0) (* (* (* (* (/ D (* d d)) h) -1/4) (* (* D M) M)) (/ 1 l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ d (* M D)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* (* M M) w0) (/ h (* d l)) (* (* M M) h) (* w0 (/ (* (* M M) h) l)) (/ D (* d d)) (* (* (* (/ D (* d d)) h) -1/4) (* (* D M) M)) (* (/ D (* d d)) h))
5.0ms
d
@-inf
((/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (/ (* M D) (* (* 4 d) (/ d (* M D)))) (* w0 (sqrt (+ (* (/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (neg h)) 1))) (sqrt (+ (* (/ (/ (* M D) (* (* 4 d) (/ d (* M D)))) l) (neg 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) (* (* -1/8 (* D D)) (/ (* (* h (* M M)) w0) (* l (* d d)))) (* -1/8 (* D D)) (* (/ h (* d l)) (/ (* (* M M) w0) d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ h (* d l)) (/ (* (* M M) w0) d))) w0) (* (* D D) -1/8) (/ (/ (* w0 (/ (* (* M M) h) l)) d) d) (/ (* w0 (/ (* (* M M) h) l)) d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* w0 (/ (* (* M M) h) l)) d) d)) w0) (* (* (* (* (/ D (* d d)) h) -1/4) (* (* D M) M)) (/ 1 l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ d (* M D)) (/ (* (* h (* M M)) w0) (* l (* d d))) (* (* M M) w0) (/ h (* d l)) (* (* M M) h) (* w0 (/ (* (* M M) h) l)) (/ D (* d d)) (* (* (* (/ D (* d d)) h) -1/4) (* (* D M) M)) (* (/ D (* d d)) h))

simplify259.0ms (1.7%)

Memory
-5.8MiB live, 350.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 458×lower-*.f64
10 458×lower-*.f32
8 630×lower-fma.f64
8 630×lower-fma.f32
2 802×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066533750
1229633676
0822432850
Stop Event
1×iter limit
1×node limit
Counts
1 512 → 1 456
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)))
(/ (* (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 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(/ (* (pow M 2) (* h w0)) (* (pow 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)) (* d l))
(/ (* (pow M 2) (* h w0)) (* d l))
(/ (* (pow M 2) (* h w0)) (* d l))
(/ (* (pow M 2) (* h w0)) (* d l))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow 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))))))
(/ (* (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) w0)
(* (pow M 2) w0)
(* (pow M 2) w0)
(* (pow M 2) w0)
(/ (* (pow M 2) (* h w0)) l)
(/ (* (pow M 2) (* h w0)) l)
(/ (* (pow M 2) (* h w0)) l)
(/ (* (pow M 2) (* h w0)) l)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow 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)))
(/ (* (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 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(/ (* (pow M 2) (* h w0)) (* (pow 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)) (* d l))
(/ (* (pow M 2) (* h w0)) (* d l))
(/ (* (pow M 2) (* h w0)) (* d l))
(/ (* (pow M 2) (* h w0)) (* d l))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow 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))))))
(/ (* (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) w0)
(* (pow M 2) w0)
(* (pow M 2) w0)
(* (pow M 2) w0)
(/ (* (pow M 2) (* h w0)) l)
(/ (* (pow M 2) (* h w0)) l)
(/ (* (pow M 2) (* h w0)) l)
(/ (* (pow M 2) (* h w0)) l)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/ (* (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))))))
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1
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w0
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w0
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w0
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w0
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w0
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1
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1
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1
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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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(* 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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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* -1/8 (pow D 2))
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(* -1/8 (pow D 2))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* -1/8 (pow D 2))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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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))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 d d) d) w0)) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) M) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 h h) h))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) d) (/.f64 w0 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ 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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(+.f64 (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 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) w0) (*.f64 (*.f64 h h) h)) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))))
(/ (* (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)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) #s(literal -1/128 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #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 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) w0) (*.f64 (*.f64 h h) h)) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(/ (* (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 w0)) (* d l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l d))
(/ (* (pow M 2) (* h w0)) (* d l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l d))
(/ (* (pow M 2) (* h w0)) (* d l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l d))
(/ (* (pow M 2) (* h w0)) (* d l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l d))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) #s(literal -1/128 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #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 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) w0) (*.f64 (*.f64 h h) h)) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(* -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)))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l))) #s(literal -1/128 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #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 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) w0) (*.f64 (*.f64 h h) h)) (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) l) (*.f64 l l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))))) w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.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 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))
(/ d (* D M))
(/.f64 d (*.f64 M D))
(/ d (* D M))
(/.f64 d (*.f64 M D))
(/ d (* D M))
(/.f64 d (*.f64 M D))
(/ d (* D M))
(/.f64 d (*.f64 M 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 w0)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(/ h (* d l))
(/.f64 h (*.f64 l d))
(/ h (* d l))
(/.f64 h (*.f64 l d))
(/ h (* d l))
(/.f64 h (*.f64 l d))
(/ h (* d l))
(/.f64 h (*.f64 l d))
(/ D (pow d 2))
(/.f64 D (*.f64 d d))
(/ D (pow d 2))
(/.f64 D (*.f64 d d))
(/ D (pow d 2))
(/.f64 D (*.f64 d d))
(/ D (pow d 2))
(/.f64 D (*.f64 d d))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d d)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d d)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d d)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d d)))
(/ (* D h) (pow d 2))
(*.f64 D (/.f64 h (*.f64 d d)))
(/ (* D h) (pow d 2))
(*.f64 D (/.f64 h (*.f64 d d)))
(/ (* D h) (pow d 2))
(*.f64 D (/.f64 h (*.f64 d d)))
(/ (* D h) (pow d 2))
(*.f64 D (/.f64 h (*.f64 d d)))

rewrite202.0ms (1.3%)

Memory
33.4MiB live, 307.2MiB allocated
Rules
4 474×lower-/.f32
4 468×lower-*.f32
4 452×lower-/.f64
4 418×lower-*.f64
2 722×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077552
0122542
1413542
22607540
08181540
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 1 118
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l)
(/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 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))
(*.f64 (/.f64 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(/.f64 (/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) d) d)
(/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l)) 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))
(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 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))
(/.f64 d (*.f64 M D))
(/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 M M) w0)
(/.f64 h (*.f64 d l))
(*.f64 (*.f64 M M) h)
(*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) l))
(/.f64 D (*.f64 d d))
(*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M))
(*.f64 (/.f64 D (*.f64 d d)) h)
Outputs
(*.f64 (pow.f64 (/.f64 l (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) #s(literal -1 binary64)) (*.f64 M (/.f64 D d)))
(*.f64 (pow.f64 (/.f64 l (*.f64 (neg.f64 D) M)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d))))
(*.f64 (pow.f64 (/.f64 l (*.f64 D M)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 D l) (/.f64 M (*.f64 (*.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d)))
(*.f64 (/.f64 M l) (*.f64 (/.f64 D (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)))
(*.f64 (/.f64 M (*.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 D d) (*.f64 D M)) l))
(*.f64 (/.f64 M (*.f64 d #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 D d) (*.f64 D M)) (/.f64 #s(literal 1 binary64) l)))
(*.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 D (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M))) (/.f64 #s(literal -1 binary64) l))
(*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 M l) (*.f64 (/.f64 D (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M))))
(*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 D M) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) l))
(*.f64 (*.f64 D M) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))))
(*.f64 D (/.f64 M (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))))
(*.f64 M (/.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) l))
(*.f64 M (/.f64 D (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))))
(*.f64 M (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) (/.f64 #s(literal 1 binary64) l)))
(pow.f64 (/.f64 (*.f64 l (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64))) (*.f64 D M)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D))) l) #s(literal -1 binary64))
(pow.f64 (*.f64 l (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 D M) l)) (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d)))
(/.f64 (neg.f64 (*.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) l))) (neg.f64 (/.f64 d (*.f64 D M))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 D) M) (/.f64 #s(literal 1 binary64) l))) (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d))))
(/.f64 (neg.f64 (*.f64 (*.f64 D M) (/.f64 #s(literal 1 binary64) l))) (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d)))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) #s(literal 1 binary64))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) #s(literal -1 binary64))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 d (*.f64 D M)) (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 d (*.f64 D M)) l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d)) (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (*.f64 D M) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d) (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d)) l)))
(/.f64 (neg.f64 (*.f64 (*.f64 D M) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) l)) (neg.f64 (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D)))))
(/.f64 (/.f64 (*.f64 D M) l) (*.f64 (*.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d))
(/.f64 (*.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) l)) (/.f64 d (*.f64 D M)))
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (/.f64 #s(literal 1 binary64) l)) (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d)))
(/.f64 (*.f64 (*.f64 D M) (/.f64 #s(literal 1 binary64) l)) (*.f64 (*.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) #s(literal 1 binary64)) l)
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) #s(literal -1 binary64)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) (neg.f64 (*.f64 l (/.f64 d (*.f64 D M)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) M)) (neg.f64 (*.f64 l (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) M)) (neg.f64 (neg.f64 (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64))))))
(/.f64 (*.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 d (*.f64 D M)) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 d (*.f64 D M)) l))
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d)) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d)) l))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1 binary64)) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64))))
(/.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 l (/.f64 d (*.f64 D M))))
(/.f64 (*.f64 (neg.f64 D) M) (*.f64 l (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d))))
(/.f64 (*.f64 (neg.f64 D) M) (neg.f64 (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))))
(/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 D (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M))) (neg.f64 (neg.f64 (neg.f64 l))))
(/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 D (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M))) (neg.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 l (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64))) (*.f64 D M))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D))) l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 l (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D))) (neg.f64 l)))
(/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 l (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D))) (neg.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64))) (*.f64 D M)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D))) l))
(/.f64 #s(literal 1 binary64) (*.f64 l (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D)))))
(/.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) l)
(/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 D (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M))) l))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 l (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d)))) (/.f64 (*.f64 D M) (*.f64 l (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 D M) (neg.f64 (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 l)) (/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 D (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M))) l))
(exp.f64 (*.f64 (log.f64 (*.f64 l (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 d (*.f64 D M)) d) M) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 d (*.f64 D M)) d) D) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 d (*.f64 D M)) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) D) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) D) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 d (*.f64 D M)) M) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) (/.f64 d M)) D)
(*.f64 (/.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) (neg.f64 d)) (*.f64 (neg.f64 D) M))
(*.f64 (/.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 M (/.f64 D d)))
(*.f64 (/.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) d) (*.f64 D M))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 d (*.f64 D M)) d) (*.f64 D M)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 d (*.f64 D M)) (*.f64 D M)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M))
(*.f64 (/.f64 D #s(literal 4 binary64)) (/.f64 M (*.f64 (/.f64 d (*.f64 D M)) d)))
(*.f64 (/.f64 D (*.f64 d #s(literal 4 binary64))) (/.f64 M (/.f64 d (*.f64 D M))))
(*.f64 (/.f64 M (/.f64 d (*.f64 D M))) (/.f64 D (*.f64 d #s(literal 4 binary64))))
(*.f64 (/.f64 M #s(literal 4 binary64)) (/.f64 D (*.f64 (/.f64 d (*.f64 D M)) d)))
(*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) M)
(*.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 M (/.f64 D d)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 D M)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)) (*.f64 D M))
(*.f64 (*.f64 M (/.f64 D d)) (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))))
(*.f64 (*.f64 (/.f64 D d) (*.f64 D M)) (/.f64 M (*.f64 d #s(literal 4 binary64))))
(*.f64 (/.f64 M (*.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 D d) (*.f64 D M)))
(*.f64 (*.f64 (neg.f64 D) M) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)))
(*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)))
(*.f64 D (*.f64 M (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M))))
(*.f64 D (/.f64 M (*.f64 (*.f64 (/.f64 d (*.f64 D M)) #s(literal 4 binary64)) d)))
(*.f64 M (*.f64 (/.f64 D (*.f64 (*.f64 d #s(literal 4 binary64)) d)) (*.f64 D M)))
(pow.f64 (/.f64 (/.f64 d (*.f64 D M)) (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 d #s(literal 4 binary64)) d) (*.f64 (*.f64 M M) (*.f64 D D))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) d)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 D M))))
(/.f64 (neg.f64 (/.f64 (*.f64 D M) (/.f64 d (*.f64 D M)))) (neg.f64 (*.f64 d #s(literal 4 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 D M) #s(literal 4 binary64))) (neg.f64 (*.f64 (/.f64 d (*.f64 D M)) d)))
(/.f64 (neg.f64 (*.f64 M (*.f64 (/.f64 D d) (*.f64 D M)))) (neg.f64 (*.f64 d #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 M (*.f64 d #s(literal 4 binary64))) D)) (neg.f64 (/.f64 d (*.f64 D M))))
(/.f64 (neg.f64 (neg.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (/.f64 d (*.f64 D M)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 D) M))) (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d)))))
(/.f64 (neg.f64 (*.f64 (*.f64 D M) #s(literal 1 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 d (*.f64 D M)) d)))
(/.f64 (/.f64 (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64)))) d) (/.f64 #s(literal 1 binary64) (*.f64 D M)))
(/.f64 (/.f64 (*.f64 D M) (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))
(/.f64 (/.f64 (*.f64 D M) #s(literal 4 binary64)) (*.f64 (/.f64 d (*.f64 D M)) d))
(/.f64 (*.f64 M (*.f64 (/.f64 D d) (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))
(/.f64 (*.f64 (/.f64 M (*.f64 d #s(literal 4 binary64))) D) (/.f64 d (*.f64 D M)))
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eval493.0ms (3.3%)

Memory
18.7MiB live, 536.6MiB allocated
Compiler

Compiled 74 773 to 3 763 computations (95% saved)

prune647.0ms (4.3%)

Memory
14.8MiB live, 860.6MiB allocated
Pruning

39 alts after pruning (35 fresh and 4 done)

PrunedKeptTotal
New2 573172 590
Fresh71825
Picked325
Done022
Total2 583392 622
Accuracy
89.6%
Counts
2 622 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64)) (*.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 1 binary64))))
71.3%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 D h) #s(literal 1/2 binary64))) (*.f64 (neg.f64 d) (*.f64 d l))) M #s(literal 1 binary64))) w0)
75.8%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
74.8%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))) w0)
57.0%
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))) M #s(literal 1 binary64))) w0)
84.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64))))
85.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
78.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
75.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
19.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 D h) #s(literal -1/4 binary64))) (*.f64 d l)) d))))
21.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 d l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
19.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) l)) d) d) (*.f64 #s(literal -1/4 binary64) h)))))
19.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d l) d)) (*.f64 #s(literal -1/4 binary64) h)))))
✓18.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
24.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
✓19.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
18.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
20.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
✓64.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
71.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
57.9%
#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)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
55.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) l) d) d) w0))
60.3%
#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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
54.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
56.4%
#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 (*.f64 d l) d)) w0))
56.5%
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
15.7%
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 l d)) d)))
15.1%
#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 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
18.2%
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
16.1%
#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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
14.9%
#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 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
14.2%
#s(approx (* w0 (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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
16.6%
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M M)) (/.f64 w0 d))))
17.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h) d) l))))
16.6%
#s(approx (* w0 (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 #s(literal 1 binary64) d) (*.f64 (/.f64 d (*.f64 (*.f64 h w0) (*.f64 M M))) l)))))
16.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (*.f64 M M) w0) #s(literal 1 binary64)) (*.f64 d (*.f64 d (/.f64 l h)))))))
16.2%
#s(approx (* w0 (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 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
✓13.8%
#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))))))
16.7%
#s(approx (* w0 (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 M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
Compiler

Compiled 2 676 to 1 067 computations (60.1% saved)

regimes305.0ms (2%)

Memory
4.5MiB live, 469.4MiB allocated
Counts
71 → 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 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d l) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (*.f64 M M) w0) #s(literal 1 binary64)) (*.f64 d (*.f64 d (/.f64 l 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 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))) M #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h) d) l))))
#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))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) l) d) d) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M M) (*.f64 l d)) (/.f64 (*.f64 D D) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 d l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 D h) #s(literal -1/4 binary64))) (*.f64 d l)) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 d (*.f64 (*.f64 h w0) (*.f64 M M))) l)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 D h) #s(literal 1/2 binary64))) (*.f64 (neg.f64 d) (*.f64 d l))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d))) D) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) l)) d) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) 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 d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #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 M (/.f64 D d)) (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
#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 #s(literal 1 binary64) (*.f64 d l)) (pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 M M) h) w0)) #s(literal -1 binary64))) w0))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64)) (*.f64 (/.f64 h l) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
Calls

15 calls:

40.0ms
(/.f64 h l)
21.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
20.0ms
l
20.0ms
h
20.0ms
M
Results
AccuracySegmentsBranch
86.8%1w0
86.8%1M
86.8%1D
86.8%1h
86.8%1l
86.8%1d
88.5%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)))))
88.5%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))))
88.5%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)))
88.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
88.7%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
88.7%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.8%1(*.f64 M D)
86.8%1(*.f64 #s(literal 2 binary64) d)
86.8%1(/.f64 h l)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes225.0ms (1.5%)

Memory
11.5MiB live, 223.1MiB allocated
Counts
67 → 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 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d l) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (*.f64 M M) w0) #s(literal 1 binary64)) (*.f64 d (*.f64 d (/.f64 l 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 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))) M #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h) d) l))))
#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))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) l) d) d) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M M) (*.f64 l d)) (/.f64 (*.f64 D D) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 d l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 D h) #s(literal -1/4 binary64))) (*.f64 d l)) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 d (*.f64 (*.f64 h w0) (*.f64 M M))) l)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 D h) #s(literal 1/2 binary64))) (*.f64 (neg.f64 d) (*.f64 d l))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d))) D) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) l)) d) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) 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 d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #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 M (/.f64 D d)) (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(*.f64 w0 (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))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
Calls

9 calls:

81.0ms
(*.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)))))
26.0ms
D
17.0ms
M
17.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
17.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
86.8%1M
86.8%1D
86.8%1(*.f64 M D)
86.8%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)))))
86.8%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))))
86.8%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)))
86.8%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.8%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.8%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Compiler

Compiled 137 to 101 computations (26.3% saved)

regimes295.0ms (2%)

Memory
-6.2MiB live, 447.2MiB allocated
Counts
66 → 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 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d l) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (*.f64 M M) w0) #s(literal 1 binary64)) (*.f64 d (*.f64 d (/.f64 l 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 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))) M #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h) d) l))))
#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))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) l) d) d) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M M) (*.f64 l d)) (/.f64 (*.f64 D D) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 d l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 D h) #s(literal -1/4 binary64))) (*.f64 d l)) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 d (*.f64 (*.f64 h w0) (*.f64 M M))) l)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 D h) #s(literal 1/2 binary64))) (*.f64 (neg.f64 d) (*.f64 d l))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d))) D) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) l)) d) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) 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 d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #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 M (/.f64 D d)) (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))))
Calls

15 calls:

24.0ms
d
20.0ms
(*.f64 #s(literal 2 binary64) d)
20.0ms
w0
20.0ms
h
20.0ms
l
Results
AccuracySegmentsBranch
85.5%1(/.f64 h l)
85.5%1w0
87.4%2h
87.0%2l
85.5%1d
85.5%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)))))
85.5%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))))
85.5%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)))
87.7%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
87.7%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
85.5%1(*.f64 #s(literal 2 binary64) d)
87.6%2M
85.5%1D
85.5%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
87.3%2(*.f64 M D)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes78.0ms (0.5%)

Memory
45.7MiB live, 150.8MiB allocated
Counts
64 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d l) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (*.f64 M M) w0) #s(literal 1 binary64)) (*.f64 d (*.f64 d (/.f64 l 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 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))) M #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h) d) l))))
#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))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) l) d) d) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M M) (*.f64 l d)) (/.f64 (*.f64 D D) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 d l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 D h) #s(literal -1/4 binary64))) (*.f64 d l)) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 d (*.f64 (*.f64 h w0) (*.f64 M M))) l)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 D h) #s(literal 1/2 binary64))) (*.f64 (neg.f64 d) (*.f64 d l))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d))) D) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) l)) d) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) 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 d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #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 M (/.f64 D d)) (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))))
Calls

4 calls:

21.0ms
h
20.0ms
M
18.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
15.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
87.4%2h
87.3%2M
85.5%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
85.5%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes74.0ms (0.5%)

Memory
-26.2MiB live, 99.2MiB allocated
Counts
62 → 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 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d l) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (*.f64 M M) w0) #s(literal 1 binary64)) (*.f64 d (*.f64 d (/.f64 l 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 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))) M #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h) d) l))))
#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))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) l) d) d) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M M) (*.f64 l d)) (/.f64 (*.f64 D D) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 d l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 D h) #s(literal -1/4 binary64))) (*.f64 d l)) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 d (*.f64 (*.f64 h w0) (*.f64 M M))) l)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 D h) #s(literal 1/2 binary64))) (*.f64 (neg.f64 d) (*.f64 d l))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d))) D) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) l)) d) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) 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 d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #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))))
Calls

3 calls:

36.0ms
h
17.0ms
M
17.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
87.3%2M
87.3%2(*.f64 M D)
85.5%1h
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes20.0ms (0.1%)

Memory
-0.2MiB live, 38.3MiB allocated
Counts
61 → 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 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d l) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (*.f64 M M) w0) #s(literal 1 binary64)) (*.f64 d (*.f64 d (/.f64 l 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 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))) M #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h) d) l))))
#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))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) l) d) d) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M M) (*.f64 l d)) (/.f64 (*.f64 D D) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 d l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 D h) #s(literal -1/4 binary64))) (*.f64 d l)) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 d (*.f64 (*.f64 h w0) (*.f64 M M))) l)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 D h) #s(literal 1/2 binary64))) (*.f64 (neg.f64 d) (*.f64 d l))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d))) D) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) l)) d) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) 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 d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64))))
Calls

1 calls:

17.0ms
M
Results
AccuracySegmentsBranch
87.3%2M
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes57.0ms (0.4%)

Memory
17.6MiB live, 96.9MiB allocated
Counts
60 → 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 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d l) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (*.f64 M M) w0) #s(literal 1 binary64)) (*.f64 d (*.f64 d (/.f64 l 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 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))) M #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h) d) l))))
#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))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) l) d) d) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M M) (*.f64 l d)) (/.f64 (*.f64 D D) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 d l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 D h) #s(literal -1/4 binary64))) (*.f64 d l)) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 d (*.f64 (*.f64 h w0) (*.f64 M M))) l)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 D h) #s(literal 1/2 binary64))) (*.f64 (neg.f64 d) (*.f64 d l))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d))) D) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) h) #s(literal -1/4 binary64)) (*.f64 (*.f64 D M) M)) (/.f64 #s(literal 1 binary64) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) l)) d) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d)) M) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(approx (* (* (/ h l) D) (* (/ 1/2 d) M)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M D)) d) (/.f64 (*.f64 (*.f64 h D) #s(literal 1/2 binary64)) (*.f64 l d))) M #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) 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 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
Calls

3 calls:

21.0ms
M
17.0ms
l
15.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
85.5%1l
85.5%1(*.f64 M D)
85.5%1M
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes205.0ms (1.4%)

Memory
1.0MiB live, 313.9MiB 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 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d l) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (*.f64 M M) w0) #s(literal 1 binary64)) (*.f64 d (*.f64 d (/.f64 l 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 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))) M #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h) d) l))))
#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))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) l) d) d) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M M) (*.f64 l d)) (/.f64 (*.f64 D D) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (*.f64 (/.f64 D (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 d l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) (*.f64 (*.f64 D h) #s(literal -1/4 binary64))) (*.f64 d l)) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 d (*.f64 (*.f64 h w0) (*.f64 M M))) l)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 M) h) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (*.f64 d d) l))) D #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 (*.f64 D h) #s(literal 1/2 binary64))) (*.f64 (neg.f64 d) (*.f64 d l))) M #s(literal 1 binary64))) w0)
(*.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))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

15 calls:

16.0ms
M
16.0ms
d
15.0ms
w0
15.0ms
h
14.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
76.4%1w0
80.2%3l
76.4%1M
81.1%2D
80.2%3h
80.9%3(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
84.7%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
84.7%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
80.1%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
80.1%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
81.1%2(/.f64 h l)
80.2%2d
84.3%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
80.2%2(*.f64 #s(literal 2 binary64) d)
82.2%3(*.f64 M D)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes32.0ms (0.2%)

Memory
18.1MiB live, 56.2MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d l) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (*.f64 M M) w0) #s(literal 1 binary64)) (*.f64 d (*.f64 d (/.f64 l 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 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))) M #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h) d) l))))
#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))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) l) d) d) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

3 calls:

12.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
9.0ms
(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))))
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
80.8%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
80.8%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
81.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 62 to 44 computations (29% saved)

regimes23.0ms (0.2%)

Memory
-0.5MiB live, 38.3MiB 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 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d l) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (*.f64 M M) w0) #s(literal 1 binary64)) (*.f64 d (*.f64 d (/.f64 l 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 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 l (*.f64 d d)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (* -1/2 (* M D)) d) (/ (* (* h D) 1/2) (* l d))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h M) (*.f64 l (*.f64 d d))))) M #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h) d) l))))
#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))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 h w0) (*.f64 M M)) l) d) d) w0))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

2 calls:

10.0ms
(/.f64 h l)
9.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
76.9%3(/.f64 h l)
81.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes279.0ms (1.9%)

Memory
-62.3MiB live, 89.9MiB allocated
Counts
26 → 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 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

9 calls:

205.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
23.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
8.0ms
(*.f64 M D)
8.0ms
(*.f64 #s(literal 2 binary64) d)
7.0ms
D
Results
AccuracySegmentsBranch
77.0%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
77.0%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
75.8%2d
75.8%2(*.f64 #s(literal 2 binary64) d)
75.9%2(*.f64 M D)
79.7%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
79.7%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
75.7%2D
79.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 122 to 92 computations (24.6% saved)

regimes8.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) 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 (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 d l)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 (*.f64 d d))) (neg.f64 l)))))
#s(approx (* w0 (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 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 (neg.f64 M) (*.f64 w0 M))) (neg.f64 d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
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 (/.f64 h (*.f64 l d)) M) (*.f64 w0 M)) d) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

6.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
79.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes24.0ms (0.2%)

Memory
-1.8MiB live, 36.0MiB 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 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* 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 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 M M) h)) (/.f64 w0 (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) h)) (*.f64 #s(literal -1/8 binary64) D)) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) D) (*.f64 M M)) (*.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 M h) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.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 h (*.f64 M M)) w0) (*.f64 (*.f64 d l) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 l (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) (*.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 (*.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 D (/.f64 h (*.f64 l d)))) (*.f64 M 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 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 l d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) h))))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 d d)) l)))
#s(approx (* w0 (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 (*.f64 D D) #s(literal -1/8 binary64)) w0) (*.f64 (*.f64 M M) h)) (*.f64 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 h (*.f64 d l)) (/.f64 (*.f64 (*.f64 M M) w0) d)) w0))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

4 calls:

7.0ms
h
6.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
5.0ms
l
5.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
71.3%2l
69.4%1h
78.2%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)))))
78.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 57 to 42 computations (26.3% saved)

regimes22.0ms (0.1%)

Memory
-0.8MiB live, 40.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

15 calls:

4.0ms
(*.f64 #s(literal 2 binary64) d)
1.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms
l
1.0ms
M
1.0ms
d
Results
AccuracySegmentsBranch
64.6%1h
64.6%1l
64.6%1(/.f64 h l)
64.6%1D
64.6%1d
64.6%1(*.f64 #s(literal 2 binary64) d)
64.6%1(*.f64 M D)
64.6%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
64.6%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
64.6%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
64.6%1w0
64.6%1M
64.6%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
64.6%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
64.6%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.2410321408712548e-88
5.769905351744433e-75
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.137492659628207e+85
1.8030086089596353e+91
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch26.0ms (0.2%)

Memory
4.4MiB live, 42.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
23.0ms
-2.8783843707497684e-269
-1.7050624777311148e-290
Samples
15.0ms144×0valid
2.0ms19×0invalid
Compiler

Compiled 567 to 395 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (35.7% of total)
ival-mult: 4.0ms (35.7% of total)
ival-pow2: 2.0ms (17.9% of total)
ival-sub: 1.0ms (8.9% of total)
ival-sqrt: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
21.7MiB live, 21.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
11.0ms
3.8723474228440917e-84
3.0767278869041963e-83
Samples
7.0ms80×0valid
0.0ms4×0invalid
Compiler

Compiled 317 to 216 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (39.5% of total)
ival-div: 1.0ms (19.7% of total)
ival-sqrt: 1.0ms (19.7% of total)
ival-pow2: 1.0ms (19.7% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
-34.7MiB live, 3.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
1.0ms
3.8723474228440917e-84
3.0767278869041963e-83
Compiler

Compiled 317 to 216 computations (31.9% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-90413.41837551244
-0.031828107785031555
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-8.113206090451285e-8
-4.0793523247161955e-11
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.077750862574297e+54
-7.228926696803904e+43
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
-8.868683738504486e+111
-1.077750862574297e+54
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.0766539837038715e+188
-1.1893485834842964e+170
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
-4.0766539837038715e+188
-1.1893485834842964e+170
Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify23.0ms (0.2%)

Memory
-0.8MiB live, 37.6MiB allocated
Algorithm
1×egg-herbie
Rules
190×*-commutative_binary64
66×neg-sub0_binary64
66×neg-mul-1_binary64
58×+-commutative_binary64
58×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188772
1267772
2303772
3362772
4428772
5474772
6501772
7511772
8514772
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))))
(if (<=.f64 h #s(literal -4904977144712527/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 546812681195753/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #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)))))
(if (<=.f64 M #s(literal 546812681195753/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -944473296573929/18889465931478580854784 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 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 (/.f64 h (*.f64 l d)) M) (*.f64 w0 M)) d) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (/ (* (* h (* M M)) w0) (* l (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Outputs
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(if (<=.f64 (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 #s(literal 4 binary64) d) (*.f64 (/.f64 d (*.f64 D M)) l))) (neg.f64 h) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (neg.f64 h) l)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) (*.f64 #s(literal 1/2 binary64) D)) (neg.f64 l)) #s(literal 1 binary64))) w0)
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 #s(literal 4 binary64) d) (/.f64 d (*.f64 M D)))) l) (neg.f64 h) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))))
(if (<=.f64 (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 D M) (*.f64 (/.f64 d (*.f64 D M)) (*.f64 #s(literal 4 binary64) d))) l) (neg.f64 h) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) D) M) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64))) w0))
(if (<=.f64 h #s(literal -4904977144712527/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (/.f64 D d)) (*.f64 D (/.f64 M (*.f64 d #s(literal 4 binary64))))) l) (neg.f64 h) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 h M) (*.f64 (neg.f64 l) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)))))
(if (<=.f64 h #s(literal -4904977144712527/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 M (*.f64 #s(literal 4 binary64) d)) D) (*.f64 (/.f64 D d) M)) l) (neg.f64 h) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (*.f64 (neg.f64 M) h) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))) w0))
(if (<=.f64 M #s(literal 546812681195753/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #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)))))
(if (<=.f64 M #s(literal 546812681195753/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 #s(literal 4 binary64) d) (*.f64 (/.f64 d (*.f64 D M)) l))) (neg.f64 h) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 D d)) (/.f64 (neg.f64 h) l)) (/.f64 D d) #s(literal 1 binary64))) w0))
(if (<=.f64 M #s(literal 546812681195753/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 546812681195753/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 #s(literal 4 binary64) d) (*.f64 (/.f64 d (*.f64 D M)) l))) (neg.f64 h) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 D d)) (*.f64 (/.f64 (neg.f64 D) d) (/.f64 h l)) #s(literal 1 binary64))) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 l (/.f64 d (*.f64 D M))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 #s(literal 4 binary64) d) (*.f64 (/.f64 d (*.f64 D M)) l))) (neg.f64 h) #s(literal 1 binary64))) w0)
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 d l)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -50000 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (*.f64 D M) (*.f64 l d)))))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -944473296573929/18889465931478580854784 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -944473296573929/18889465931478580854784 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (*.f64 D M)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l)) (*.f64 D M)) (*.f64 #s(literal -1/4 binary64) h)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 D M)) M) (*.f64 #s(literal -1/4 binary64) h)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 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 (/.f64 h (*.f64 l d)) M) (*.f64 w0 M)) d) w0)) (*.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 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 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 w0 M) (*.f64 (/.f64 h (*.f64 l d)) M)) d) w0)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 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 M) (*.f64 M (/.f64 w0 (*.f64 (*.f64 d d) l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -400000000000000009237236521079148619571935289940679710172225831261936875871783075546304718747180304444312954175303429678639676045254349402750411886661476074284812572578654259503586667921408 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 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) (*.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)

soundness1.6s (10.9%)

Memory
32.7MiB live, 1 280.7MiB allocated
Rules
10 592×lower-*.f64
10 592×lower-*.f32
8 912×lower-fma.f64
8 912×lower-fma.f32
8 610×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068737088
1237436920
0861035888
070548
0119548
1381530
22753526
08202526
077552
0122542
1413542
22607540
08181540
062466
0105469
1339412
22472412
08590401
06288158
121898136
084797930
01778
02678
18278
255078
3707378
0866178
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 2 181 to 1 060 computations (51.4% saved)

preprocess335.0ms (2.2%)

Memory
29.8MiB live, 271.8MiB allocated
Remove

(negabs w0)

(abs d)

Compiler

Compiled 5 272 to 2 528 computations (52% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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