Henrywood and Agarwal, Equation (9a)

Time bar (total: 18.3s)

analyze486.0ms (2.7%)

Memory
20.0MiB live, 879.6MiB allocated
Algorithm
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)

sample1.9s (10.3%)

Memory
29.6MiB live, 2 774.8MiB allocated
Samples
950.0ms8 256×0valid
289.0ms2 642×0invalid
Precisions
Click to see histograms. Total time spent on operations: 819.0ms
ival-mult: 312.0ms (38.1% of total)
ival-div: 180.0ms (22% of total)
ival-pow2: 132.0ms (16.1% of total)
ival-sqrt: 89.0ms (10.9% of total)
ival-sub: 81.0ms (9.9% of total)
exact: 11.0ms (1.3% of total)
ival-true: 8.0ms (1% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

preprocess353.0ms (1.9%)

Memory
32.3MiB live, 258.3MiB allocated
Algorithm
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
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))))
Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

explain384.0ms (2.1%)

Memory
-20.7MiB live, 348.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
560-3(3.268831063054466e+149 12463956568940288.0 4.02798839362856e+129 -8.28997106546095e+277 2.31607652772409e+137 6.2361050271856434e+302)(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
250-0-(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))))
210-0-(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
50-0-(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
00-0-D
00-0-(*.f64 #s(literal 2 binary64) d)
00-0-(/.f64 h l)
00-0-(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
00-0-d
00-0-#s(literal 1 binary64)
00-0-(*.f64 M D)
00-0-w0
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
00-0-#s(literal 2 binary64)
00-0-l
00-0-M
00-0-h
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))oflow-rescue250
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow45
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))overflow47
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))overflow22
(*.f64 M D)overflow15
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow17
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow47
(/.f64 h l)overflow33
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o80
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n60
(*.f64 M D)overflow15
*.f64(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))n*o50
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u40
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow45
(*.f64 M D)overflow15
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow17
(/.f64 h l)underflow28
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))u*o20
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow107
(*.f64 M D)underflow46
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow57
(/.f64 h l)overflow33
Confusion
Predicted +Predicted -
+3618
-10192
Precision
0.782608695652174
Recall
0.6666666666666666
Confusion?
Predicted +Predicted MaybePredicted -
+36018
-100192
Precision?
0.782608695652174
Recall?
0.6666666666666666
Freqs
test
numberfreq
0210
142
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
76.0ms512×0valid
Compiler

Compiled 242 to 72 computations (70.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 12.0ms (37.8% of total)
ival-div: 8.0ms (25.2% 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)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(*.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)

simplify361.0ms (2%)

Memory
19.4MiB live, 282.3MiB allocated
Algorithm
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
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l)
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

localize94.0ms (0.5%)

Memory
-8.6MiB live, 74.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy98.1%
(*.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)))))
accuracy92.3%
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy90.9%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy80.0%
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Samples
78.0ms256×0valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-pow2: 31.0ms (70.9% of total)
ival-mult: 6.0ms (13.7% of total)
ival-div: 4.0ms (9.2% of total)
ival-sqrt: 2.0ms (4.6% of total)
ival-sub: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series120.0ms (0.7%)

Memory
1.4MiB live, 120.1MiB 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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#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>) () ())) ())
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#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 M) (#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 M) (#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 M) (#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 M) (#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 M) (#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 M) (#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 M) (#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 M) (#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 M) (#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 0 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 0 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 0 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 0 D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (*.f64 M D) (*.f64 #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 0 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 0 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 0 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 0 d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
Calls

81 calls:

TimeVariablePointExpression
25.0ms
M
@0
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
25.0ms
h
@-inf
(sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))
4.0ms
l
@0
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
3.0ms
w0
@0
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
2.0ms
d
@0
(pow (/ (* M D) (* 2 d)) 2)

simplify601.0ms (3.3%)

Memory
2.4MiB live, 519.8MiB allocated
Algorithm
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
084867930
Stop Event
iter limit
node limit
Counts
324 → 317
Calls
Call 1
Inputs
(* 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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow 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 (* (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)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* 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))))))
(* 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)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* 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)))))))
(* -1 (* 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))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* 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)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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)))))))))
(* (/ (* 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))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -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)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
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)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* 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))))))
(* 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)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* 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)))))))
(* -1 (* 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))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* 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
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (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
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
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(* -1 (* 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)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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1
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1
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1
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1
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1
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1
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1
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1
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (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))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
Outputs
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0)
(+ 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)))))))
(fma.f64 (*.f64 M M) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 w0 (*.f64 h (*.f64 h (pow.f64 D #s(literal 4 binary64)))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 (*.f64 D D) h))) (*.f64 (*.f64 d d) l))) w0)
(+ 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)))))))))
(fma.f64 (*.f64 M M) (fma.f64 M (*.f64 M (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 w0 (*.f64 h (*.f64 h (pow.f64 D #s(literal 4 binary64))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 M M)) (*.f64 w0 (*.f64 h (*.f64 h h))))) (*.f64 (*.f64 l l) (*.f64 l (pow.f64 d #s(literal 6 binary64))))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 (*.f64 D D) h))) (*.f64 (*.f64 d d) l))) w0)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(*.f64 M (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (/.f64 (*.f64 (*.f64 D (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d)))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 M (fma.f64 D (*.f64 (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 M #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 M (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 M #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))) (fma.f64 (/.f64 (*.f64 w0 (pow.f64 d #s(literal 5 binary64))) (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 D #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (/.f64 (*.f64 (*.f64 D (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d)))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(neg.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (/.f64 (*.f64 (*.f64 D (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d)) (neg.f64 M))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 D (*.f64 (/.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d) (sqrt.f64 (/.f64 h l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 M M) (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 D (*.f64 D D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 M #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))))) (neg.f64 M))
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w0
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(* -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))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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w0
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w0
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1
#s(literal 1 binary64)
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)

rewrite473.0ms (2.6%)

Memory
-15.4MiB live, 367.9MiB allocated
Algorithm
batch-egg-rewrite
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
iter limit
node limit
iter limit
Counts
6 → 689
Calls
Call 1
Inputs
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))))
(exp.f64 (log.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))
(/.f64 (*.f64 M D) (neg.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D (neg.f64 M)))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d #s(literal -2 binary64))) (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)))
(/.f64 (*.f64 D (neg.f64 M)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D (neg.f64 M))))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) (*.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (*.f64 d (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))))))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) (neg.f64 d)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 #s(literal 2 binary64) d) D))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) (*.f64 M D)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) d)
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 d (*.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)) (neg.f64 d))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 2 binary64) D)) (/.f64 d M))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 d (*.f64 M D)))
(/.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) d) (/.f64 #s(literal 2 binary64) (*.f64 M D)))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) D) d)
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M)) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))) (*.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (*.f64 d d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (*.f64 M D) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) d) D))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (neg.f64 d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))
(/.f64 (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1 binary64)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 d d))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) #s(literal 1 binary64)) d)
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 2 binary64) d)) d) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 d))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) d) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) (neg.f64 d)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) #s(literal -2 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)))
(*.f64 M (pow.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)) #s(literal 1 binary64)))
(*.f64 M (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d))))
(*.f64 M (*.f64 M (/.f64 (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 M (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)) #s(literal 1 binary64)))
(*.f64 D (*.f64 M (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d))))
(*.f64 D (*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 D (/.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))
(*.f64 (*.f64 M D) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (*.f64 M D) (pow.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))
(*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 #s(literal 2 binary64) d))))
(*.f64 (*.f64 M D) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 (*.f64 M D) (/.f64 (*.f64 D (neg.f64 M)) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(*.f64 (*.f64 M D) (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 d d))))
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 d (*.f64 M D))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D (neg.f64 M)))))
(*.f64 (*.f64 D (neg.f64 M)) (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 d #s(literal -2 binary64))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 (*.f64 M D) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 (*.f64 D (neg.f64 M)) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 (*.f64 D (neg.f64 M)) (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d (*.f64 d #s(literal -2 binary64)))))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) #s(literal 1 binary64)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) (/.f64 d (*.f64 M D))))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 D d) D) d)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) #s(literal 1 binary64)))
(*.f64 (/.f64 D d) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(*.f64 (/.f64 D d) (/.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) (/.f64 #s(literal 2 binary64) (*.f64 M D))))
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(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d))))
(*.f64 (exp.f64 (log.f64 (*.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d)))))
(*.f64 (exp.f64 (log.f64 (*.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d))))
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d)))
(*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (*.f64 M D) #s(literal -1/2 binary64)))
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64)))
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d))
(*.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d))
(*.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(*.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d))
(*.f64 (*.f64 #s(literal 1 binary64) M) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d))
(*.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))

eval236.0ms (1.3%)

Memory
0.2MiB live, 263.7MiB allocated
Compiler

Compiled 31 317 to 4 380 computations (86% saved)

prune259.0ms (1.4%)

Memory
-26.9MiB live, 308.1MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New990161 006
Fresh000
Picked101
Done000
Total991161 007
Accuracy
92.2%
Counts
1 007 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.5%
(*.f64 w0 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (/.f64 l h) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))))))
70.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
91.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
77.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
88.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
81.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
74.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
76.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
66.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
66.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h))))))
71.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
11.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
45.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D D) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 D D)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))))
52.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
71.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
53.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
Compiler

Compiled 890 to 574 computations (35.5% saved)

simplify229.0ms (1.2%)

Memory
29.6MiB live, 262.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
cost-diff512
(/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
cost-diff576
(fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))
cost-diff0
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
cost-diff384
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
cost-diff0
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
cost-diff384
(*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
cost-diff384
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
cost-diff576
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
cost-diff1088
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
Rules
7 756×lower-*.f32
7 726×lower-*.f64
2 294×lower-/.f32
2 274×lower-/.f64
1 612×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057507
096521
1211499
2797453
36083453
08173450
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
l
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(literal 1 binary64)
h
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
(*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 M D)
M
D
(/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
d
#s(literal 4 binary64)
(/.f64 h l)
h
l
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 D d)
D
d
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
(neg.f64 (/.f64 h l))
(/.f64 h l)
h
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
(*.f64 (*.f64 M D) h)
h
(neg.f64 l)
l
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 D D)) h)) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 D D)) h)) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 D D)) h)) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 d (*.f64 #s(literal -2 binary64) l)))
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
l
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(literal 1 binary64)
h
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 D D)) h)) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 D D)) h)) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 D D)) h)) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
(/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 D D)) h)) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 M D)
M
D
(/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 D (/.f64 M (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
d
#s(literal 4 binary64)
(/.f64 h l)
h
l
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
(fma.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 (*.f64 D (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) d)
(/.f64 D d)
D
d
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M (*.f64 M #s(literal 1/4 binary64)))
(*.f64 M M)
M
#s(literal 1/4 binary64)
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))
(neg.f64 (/.f64 h l))
(/.f64 h (neg.f64 l))
(/.f64 h l)
h
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 D D)) h)) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 D D)) h)) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 D D)) h)) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
d
(/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(/.f64 (*.f64 M (*.f64 D h)) (*.f64 d (*.f64 #s(literal -2 binary64) l)))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal 2 binary64)))
(*.f64 (*.f64 M D) h)
(*.f64 M (*.f64 D h))
h
(neg.f64 l)
l
#s(literal 1 binary64)

localize302.0ms (1.6%)

Memory
18.3MiB live, 296.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy92.3%
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy90.9%
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
accuracy90.7%
(/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
accuracy88.9%
(*.f64 (*.f64 M D) h)
accuracy92.5%
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
accuracy90.9%
(sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
accuracy85.8%
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
accuracy84.6%
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy92.6%
(*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
accuracy90.9%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
accuracy82.0%
(/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy80.0%
(*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
accuracy98.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy71.0%
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy92.3%
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy91.4%
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
accuracy90.9%
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
accuracy90.6%
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
Samples
98.0ms256×0valid
Compiler

Compiled 514 to 57 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 32.0ms (47.3% of total)
ival-div: 17.0ms (25.1% of total)
ival-sqrt: 8.0ms (11.8% of total)
ival-add: 3.0ms (4.4% of total)
ival-sub: 2.0ms (3% of total)
ival-neg: 2.0ms (3% of total)
ival-pow2: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series297.0ms (1.6%)

Memory
8.5MiB live, 477.6MiB allocated
Counts
24 → 1 344
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)) (patch (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) (patch (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) (patch (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (patch (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* D (* M h)) (taylor -inf D) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 h) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 h) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 h) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 h) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf h) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf h) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf h) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf h) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (*.f64 (*.f64 M D) h) (patch (*.f64 (*.f64 M D) h) #<representation binary64>) () ())) ())
Calls

336 calls:

TimeVariablePointExpression
36.0ms
d
@inf
(/ (/ (* M D) (* 2 d)) (/ 1 h))
17.0ms
d
@inf
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
4.0ms
h
@-inf
(* (* M D) h)
2.0ms
M
@0
(/ (* M D) (* (* d d) 4))
2.0ms
d
@inf
(+ (* (* (/ D d) (* (* M M) 1/4)) (* (/ D d) (neg (/ h l)))) 1)

simplify552.0ms (3%)

Memory
5.2MiB live, 878.4MiB allocated
Algorithm
egg-herbie
Rules
10 482×lower-*.f64
10 482×lower-*.f32
8 468×lower-fma.f64
8 468×lower-fma.f32
2 730×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066235475
1229435245
0822234197
Stop Event
iter limit
node limit
Counts
1 344 → 1 309
Calls
Call 1
Inputs
(* 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 h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 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 h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 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 h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 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 h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 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 h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (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)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (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 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* 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 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow 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 (* (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)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* 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))))))
(* 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)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* 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)))))))
(* -1 (* 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))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* 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)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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w0
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w0
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w0
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w0
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(* (/ (* D (* M (* 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))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* (* 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)
w0
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w0
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* 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))))) (+ (* 1/16 (* (/ (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)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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1
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1
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(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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1
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w0
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(* -1 (* 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))))))))
w0
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(/ (+ (* (* 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)
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w0
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w0
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1
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1
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1
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(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* 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)
w0
(+ 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))))
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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)))))))
w0
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(* (/ (* D (* M (* 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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(* -1 (* 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))))))))
w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* 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))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -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)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* 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
(+ 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 (* -1/8 (/ (* (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 (* -1/8 (/ (* (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)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* 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))))))
(* 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)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* 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)))))))
(* -1 (* 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))))))))
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)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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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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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* 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)
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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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)))))))
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)))))))))
(* (/ (* 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))))))))
(* -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)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
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)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* 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))))))
(* 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)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* 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)))))))
(* -1 (* 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))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* 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
(+ 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 (* -1/8 (/ (* (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 (* -1/8 (/ (* (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)))))))))
(* (/ (* 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))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -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)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (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)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* 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))))))
(* 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)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* 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)))))))
(* -1 (* 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))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* 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
(+ 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 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* 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))))))))
(* -1/2 (* (/ (* 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)))))))))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* (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)))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
Outputs
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D (*.f64 M h)) d))
(* 1/2 (/ (* D (* M h)) d))
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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w0
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w0
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w0
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w0
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w0
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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1
#s(literal 1 binary64)
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(+ 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)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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1
#s(literal 1 binary64)
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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w0
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w0
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w0
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(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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w0
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w0
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1
#s(literal 1 binary64)
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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w0
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w0
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w0
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(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(*.f64 h (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h)))))) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* -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)))))))
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(* -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))))))))
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(* -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)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (*.f64 h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) 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))))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0)
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
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1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))
(* 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 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (neg.f64 D) (*.f64 M (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* -1 (* 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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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d) (sqrt.f64 (/.f64 h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) 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))))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0)
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
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1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(+ 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)))))))
(fma.f64 (*.f64 M M) (fma.f64 (/.f64 (*.f64 D (*.f64 D h)) (*.f64 d (*.f64 d l))) #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 h (*.f64 h (*.f64 M M)))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64))
(+ 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)))))))))
(fma.f64 (*.f64 M M) (fma.f64 (*.f64 M M) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) h) h) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 h (*.f64 h (*.f64 h (*.f64 M M))))) (*.f64 (*.f64 l l) (*.f64 l (pow.f64 d #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D h))) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))
(* 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 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* 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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(* -1 (* 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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(* -1 (* 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
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D M) (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 D (*.f64 (/.f64 (*.f64 M M) d) #s(literal 1/4 binary64)))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))
(* D (* M h))
(*.f64 D (*.f64 M h))

rewrite298.0ms (1.6%)

Memory
8.1MiB live, 592.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 254×lower-*.f32
4 224×lower-*.f64
3 674×lower-/.f32
3 654×lower-/.f64
2 760×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057397
096388
1345333
23409333
08806319
Stop Event
iter limit
node limit
iter limit
Counts
24 → 879
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 (*.f64 M D) h)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 (*.f64 M D) h))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) (*.f64 (log.f64 h) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) h)) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) h)) (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal -1 binary64) h)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 d #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))) (/.f64 (*.f64 M D) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(neg.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal -2 binary64))))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 M D) (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 (*.f64 M D) h)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 (*.f64 M D) h)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64))))
(/.f64 h (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64)) d) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 (*.f64 M D) h))))
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(/.f64 (neg.f64 (*.f64 M D)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) h)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) h) d))
(/.f64 (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64)) d)
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M D) h))) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64))) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d)
(/.f64 (*.f64 (*.f64 M D) (/.f64 h d)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (/.f64 (*.f64 (*.f64 M D) h) d) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64)) d) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 (*.f64 M D) h)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)) (*.f64 M D)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 (*.f64 M D) h)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 M (/.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 M (/.f64 (*.f64 D h) (*.f64 #s(literal 2 binary64) d)))
(*.f64 M (*.f64 D (/.f64 h (*.f64 #s(literal 2 binary64) d))))
(*.f64 M (*.f64 (*.f64 D h) (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 M (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) h))
(*.f64 M (/.f64 D (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(*.f64 D (*.f64 M (/.f64 h (*.f64 #s(literal 2 binary64) d))))
(*.f64 D (/.f64 M (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(*.f64 (*.f64 M D) (/.f64 h (*.f64 #s(literal 2 binary64) d)))
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64)) d))
(*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (neg.f64 h))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(*.f64 (*.f64 (*.f64 M D) h) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 d (*.f64 (*.f64 M D) h)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 M D) h)) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 (/.f64 M d) (/.f64 (*.f64 D h) #s(literal 2 binary64)))
(*.f64 (/.f64 M d) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 D h)) #s(literal -1 binary64)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D h) d))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (pow.f64 (/.f64 d (*.f64 D h)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 h d))
(*.f64 (/.f64 h d) (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 M D) h))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 M D) h)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 M D) d) (/.f64 h #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 M D) d) (pow.f64 (/.f64 #s(literal 2 binary64) h) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 h (*.f64 #s(literal 2 binary64) d)) (*.f64 M D))
(*.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 h #s(literal 2 binary64)) (/.f64 (*.f64 M D) d))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) h) #s(literal -1 binary64)) (/.f64 (*.f64 M D) d))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D (*.f64 #s(literal 2 binary64) d))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (neg.f64 (*.f64 M D))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))) D) (*.f64 d d)) (/.f64 h l)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))) D) (*.f64 d d)) (/.f64 h l)) #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))) D) (*.f64 d d)) (/.f64 h l)))
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(*.f64 (exp.f64 (log.f64 (*.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d)))))
(*.f64 (exp.f64 (log.f64 (*.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M D))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal -4 binary64))))
(neg.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal -4 binary64))))
(neg.f64 (/.f64 (neg.f64 (*.f64 M D)) (*.f64 d (*.f64 d #s(literal 4 binary64)))))
(/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 (*.f64 M D) (*.f64 d d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M D))))
(/.f64 (neg.f64 (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 d #s(literal 4 binary64)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d d)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 d (*.f64 d #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 M D))) (neg.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) (*.f64 d d))) #s(literal -4 binary64))
(/.f64 (/.f64 (*.f64 M D) #s(literal 4 binary64)) (*.f64 d d))
(/.f64 (*.f64 (/.f64 M (*.f64 d d)) D) #s(literal 4 binary64))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d d))
(pow.f64 (/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M D)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M D)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (/.f64 (*.f64 M D) (*.f64 d d))) #s(literal -1 binary64))
(*.f64 M (/.f64 D (*.f64 d (*.f64 d #s(literal 4 binary64)))))
(*.f64 D (*.f64 M (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))
(*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(*.f64 #s(literal 1 binary64) (*.f64 M (/.f64 D (*.f64 d (*.f64 d #s(literal 4 binary64))))))
(*.f64 (/.f64 D d) (/.f64 M (*.f64 d #s(literal 4 binary64))))
(*.f64 (/.f64 D d) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) M) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) (*.f64 d d)))
(*.f64 (neg.f64 (*.f64 M D)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) #s(literal -4 binary64))))
(*.f64 (/.f64 M d) (/.f64 D (*.f64 d #s(literal 4 binary64))))
(*.f64 (/.f64 M d) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) D) #s(literal -1 binary64)))
(*.f64 (/.f64 M (*.f64 d d)) (*.f64 D #s(literal 1/4 binary64)))
(*.f64 (*.f64 D #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 M D))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M D)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) (*.f64 M D)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) #s(literal 1/4 binary64))
(*.f64 (/.f64 D (*.f64 d (*.f64 d #s(literal 4 binary64)))) M)
(*.f64 (/.f64 M #s(literal 4 binary64)) (/.f64 D (*.f64 d d)))
(*.f64 (/.f64 D (*.f64 d d)) (/.f64 M #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 M D)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 d d) D) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) M) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) D) #s(literal -1 binary64)))
(/.f64 (*.f64 M D) (/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M (*.f64 D (*.f64 M D)))))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 d #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M D)))
(/.f64 (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M D)) (/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M D)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (neg.f64 (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d d))) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 M D)) #s(literal 4 binary64))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 d #s(literal 4 binary64)))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 4 binary64))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 4 binary64)) (*.f64 d d))
(pow.f64 (/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M (*.f64 D (*.f64 M D)))) #s(literal -1 binary64))
(*.f64 M (/.f64 (*.f64 D (*.f64 M D)) (*.f64 d (*.f64 d #s(literal 4 binary64)))))
(*.f64 M (*.f64 (/.f64 D (*.f64 d (*.f64 d #s(literal 4 binary64)))) (*.f64 M D)))
(*.f64 D (*.f64 M (*.f64 M (/.f64 D (*.f64 d (*.f64 d #s(literal 4 binary64)))))))
(*.f64 (*.f64 M D) (*.f64 M (/.f64 D (*.f64 d (*.f64 d #s(literal 4 binary64))))))
(*.f64 (*.f64 M (/.f64 D (*.f64 d (*.f64 d #s(literal 4 binary64))))) (*.f64 M D))
(*.f64 (/.f64 M (*.f64 d d)) (*.f64 (*.f64 D #s(literal 1/4 binary64)) (*.f64 M D)))
(*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) M)
(*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 M D) #s(literal 4 binary64)) (/.f64 (*.f64 M D) (*.f64 d d)))
(*.f64 (*.f64 (*.f64 M D) M) (/.f64 D (*.f64 d (*.f64 d #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 M D) (/.f64 M (*.f64 d d))) (*.f64 D #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 d (*.f64 d #s(literal 4 binary64))))) M) D)
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64)))))
(/.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) (/.f64 d D))
(/.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))) d)
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64)))) (neg.f64 d))
(/.f64 (*.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) (/.f64 d D))
(/.f64 (*.f64 (neg.f64 D) (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) (neg.f64 d))
(pow.f64 (/.f64 d (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(*.f64 M (*.f64 (*.f64 M #s(literal 1/4 binary64)) (/.f64 D d)))
(*.f64 D (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 M (*.f64 M #s(literal 1/4 binary64)))))
(*.f64 D (/.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) d))
(*.f64 (/.f64 D d) (*.f64 M (*.f64 M #s(literal 1/4 binary64))))
(*.f64 (*.f64 M M) (*.f64 #s(literal 1/4 binary64) (/.f64 D d)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D (*.f64 M M)) d))
(*.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) (/.f64 D d))
(*.f64 (/.f64 (*.f64 D (*.f64 M M)) d) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) d))
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M))
(*.f64 M (*.f64 D h))
(*.f64 D (*.f64 M h))
(*.f64 (*.f64 M D) h)
(*.f64 h (*.f64 M D))
(*.f64 (*.f64 D h) M)
(*.f64 (*.f64 h M) D)

eval294.0ms (1.6%)

Memory
-1.8MiB live, 546.4MiB allocated
Compiler

Compiled 77 715 to 4 049 computations (94.8% saved)

prune525.0ms (2.9%)

Memory
9.2MiB live, 854.7MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2 305122 317
Fresh10111
Picked415
Done000
Total2 319142 333
Accuracy
92.2%
Counts
2 333 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.7%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
64.2%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))) w0)
88.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64)) d) #s(literal 1 binary64))))
88.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
62.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
77.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
75.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 (neg.f64 h) D) (*.f64 l d)) #s(literal 1 binary64))))
76.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
74.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))))))
71.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
12.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
54.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
71.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
56.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
Compiler

Compiled 736 to 484 computations (34.2% saved)

simplify269.0ms (1.5%)

Memory
12.1MiB live, 197.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
cost-diff384
(fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))
cost-diff0
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
cost-diff320
(*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))
cost-diff0
(fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
cost-diff0
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l)))
cost-diff0
(*.f64 D D)
cost-diff0
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
cost-diff0
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
cost-diff384
(fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))
Rules
6 796×lower-*.f32
6 738×lower-*.f64
4 406×lower-/.f32
4 392×lower-/.f64
1 582×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077646
0129641
1292633
21193624
35062624
47034624
08302618
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)
(*.f64 (*.f64 M D) #s(literal 1/2 binary64))
(*.f64 M D)
M
D
#s(literal 1/2 binary64)
d
(*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))))
h
(/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))
(*.f64 l (*.f64 d #s(literal -2 binary64)))
l
(*.f64 d #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0)
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l)))
(*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))
#s(literal -1/8 binary64)
(*.f64 h (*.f64 M (*.f64 M w0)))
h
(*.f64 M (*.f64 M w0))
M
(*.f64 M w0)
w0
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))
(/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l)))
(*.f64 D (*.f64 D (*.f64 M M)))
D
(*.f64 D (*.f64 M M))
(*.f64 M M)
M
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)))
(*.f64 M (*.f64 D (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
D
(*.f64 M D)
(*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))
(*.f64 l (*.f64 d #s(literal -2 binary64)))
l
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
h
#s(literal 1 binary64)
w0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))
(*.f64 D h)
D
h
(*.f64 d (neg.f64 l))
d
(neg.f64 l)
l
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64)))
(*.f64 (/.f64 D d) M)
(/.f64 D d)
M
(*.f64 M #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d (*.f64 #s(literal -2 binary64) (*.f64 d l)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d (*.f64 #s(literal -2 binary64) (*.f64 d l)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d (*.f64 #s(literal -2 binary64) (*.f64 d l)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)
(*.f64 (*.f64 M D) #s(literal 1/2 binary64))
(*.f64 M D)
M
D
#s(literal 1/2 binary64)
d
(*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))))
(/.f64 (*.f64 M (*.f64 D h)) (*.f64 #s(literal -2 binary64) (*.f64 d l)))
h
(/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l)))
(*.f64 l (*.f64 d #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 d l))
l
(*.f64 d #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M h)) (*.f64 w0 (/.f64 M (*.f64 d (*.f64 d l))))) w0))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0)
(fma.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M h)) (*.f64 w0 (/.f64 M (*.f64 d (*.f64 d l))))) w0)
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M h)) (*.f64 w0 (/.f64 M (*.f64 d (*.f64 d l)))))
(*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))
(*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 M M))))
#s(literal -1/8 binary64)
(*.f64 h (*.f64 M (*.f64 M w0)))
(*.f64 h (*.f64 w0 (*.f64 M M)))
h
(*.f64 M (*.f64 M w0))
(*.f64 w0 (*.f64 M M))
M
(*.f64 M w0)
(*.f64 w0 M)
w0
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) (/.f64 #s(literal -1/4 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) (/.f64 #s(literal -1/4 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) (/.f64 #s(literal -1/4 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))
(fma.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) (/.f64 #s(literal -1/4 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 d l)))
(*.f64 D (*.f64 D (*.f64 M M)))
(*.f64 M (*.f64 M (*.f64 D D)))
D
(*.f64 D (*.f64 M M))
(*.f64 M (*.f64 M D))
(*.f64 M M)
M
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
(*.f64 #s(literal -1/4 binary64) h)
(*.f64 h #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
h
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))
(fma.f64 (*.f64 M D) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)))
(/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))
(*.f64 M (*.f64 D (*.f64 M D)))
(*.f64 M (*.f64 M (*.f64 D D)))
M
(*.f64 D (*.f64 M D))
(*.f64 M (*.f64 D D))
D
(*.f64 M D)
(*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))
(*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))
(*.f64 l (*.f64 d #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 d l))
l
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
h
#s(literal 1 binary64)
w0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D h) (/.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))) (neg.f64 (*.f64 d (*.f64 d l)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 D h) (/.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))) (neg.f64 (*.f64 d (*.f64 d l)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 D h) (/.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))) (neg.f64 (*.f64 d (*.f64 d l)))) #s(literal 1 binary64))
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))
(neg.f64 (*.f64 (/.f64 D (*.f64 d l)) h))
(*.f64 D h)
D
h
(*.f64 d (neg.f64 l))
(neg.f64 (*.f64 d l))
d
(neg.f64 l)
l
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 M D))) d)
(*.f64 (/.f64 D d) M)
(/.f64 (*.f64 M D) d)
(/.f64 D d)
M
(*.f64 M #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 1 binary64)

localize341.0ms (1.9%)

Memory
13.5MiB live, 251.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy93.5%
(*.f64 (/.f64 D d) M)
accuracy92.5%
(fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))
accuracy90.9%
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))
accuracy86.2%
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))
accuracy98.1%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
accuracy95.8%
(*.f64 M (*.f64 D (*.f64 M D)))
accuracy90.9%
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
accuracy77.7%
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)))
accuracy96.8%
(*.f64 D (*.f64 D (*.f64 M M)))
accuracy90.9%
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
accuracy86.2%
(*.f64 D (*.f64 M M))
accuracy78.1%
(/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l)))
accuracy89.1%
(*.f64 h (*.f64 M (*.f64 M w0)))
accuracy82.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
accuracy81.4%
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l)))
accuracy77.6%
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0)
accuracy92.3%
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)
accuracy90.9%
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
accuracy88.2%
(*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))))
accuracy85.8%
(/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))
Samples
222.0ms256×0valid
Compiler

Compiled 581 to 80 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-mult: 141.0ms (78.8% of total)
ival-div: 16.0ms (8.9% of total)
ival-sqrt: 8.0ms (4.5% of total)
ival-add: 6.0ms (3.4% of total)
ival-sub: 2.0ms (1.1% of total)
ival-pow2: 2.0ms (1.1% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series609.0ms (3.3%)

Memory
-107.2MiB live, 236.9MiB allocated
Counts
29 → 1 500
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0) (patch (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0) #<representation binary64>) () ())
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)) (patch (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) (patch (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (patch (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))) (patch (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) (patch (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 h (*.f64 M (*.f64 M w0))) (patch (*.f64 h (*.f64 M (*.f64 M w0))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 D (*.f64 M M)) (patch (*.f64 D (*.f64 M M)) #<representation binary64>) () ())
#s(alt (*.f64 D (*.f64 D (*.f64 M M))) (patch (*.f64 D (*.f64 D (*.f64 M M))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) #<representation binary64>) () ())
#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 M) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 M) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 M) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 M) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf M) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) (taylor inf M) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) (taylor inf M) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) (taylor inf M) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) (taylor -inf M) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) (taylor -inf M) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) (taylor -inf M) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 D) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 D) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 D) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 D) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf D) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) (taylor inf D) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) (taylor inf D) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) (taylor inf D) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf D) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) (taylor -inf D) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) (taylor -inf D) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow D 2) (pow M 2)) (taylor 0 M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
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#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
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#s(alt (/ (* D M) d) (taylor -inf d) (#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())) ())
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#s(alt (/ (* D M) d) (taylor 0 M) (#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor 0 M) (#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor 0 M) (#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor inf M) (#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor inf M) (#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor inf M) (#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor inf M) (#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor -inf M) (#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor -inf M) (#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor -inf M) (#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor -inf M) (#s(alt (*.f64 (/.f64 D d) M) (patch (*.f64 (/.f64 D d) M) #<representation binary64>) () ())) ())
Calls

375 calls:

TimeVariablePointExpression
272.0ms
M
@0
(* (sqrt (+ (* (/ (* M (* D (* M D))) (* (* l (* d -2)) (* 2 d))) h) 1)) w0)
15.0ms
M
@0
(/ (* M (* D (* M D))) (* (* l (* d -2)) (* 2 d)))
1.0ms
h
@0
(/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))
1.0ms
D
@0
(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0)
1.0ms
w0
@0
(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0)

simplify707.0ms (3.9%)

Memory
22.4MiB live, 647.9MiB allocated
Algorithm
egg-herbie
Rules
8 528×lower-*.f64
8 528×lower-*.f32
6 708×lower-fma.f64
6 708×lower-fma.f32
4 688×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068336052
1236135860
0854134783
Stop Event
iter limit
node limit
Counts
1 500 → 1 458
Calls
Call 1
Inputs
1
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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))))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
1
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1
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(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* 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))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (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 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* 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)
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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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* -1 (* 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)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
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)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* 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))))))
(* 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)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* 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)))))))
(* -1 (* 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))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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w0
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w0
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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1
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(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* (/ (* 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
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1
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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1
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1
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1
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1
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1
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1
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1
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1
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1
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(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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1
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1
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1
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1
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1
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1
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w0
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(* -1 (* 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))))))))
w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* 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))))))))
(* -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)))))))))
(* (/ (* 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)
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)))))))
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)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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)))))))
w0
(+ 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))))
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(+ 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)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* 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))))))
(* 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)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* 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))))))))
1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
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(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* 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))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -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)))))))))
(* (/ (* 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
(+ 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 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (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)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* 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))))))
(* 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)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* 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)))))))
(* -1 (* 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))))))))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
(* -1 (/ (* D h) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -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)))
(* -1/2 (/ (* 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)))
(* -1/2 (/ (* 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)))
(* -1/2 (/ (* 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)))
(* -1/2 (/ (* 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)))
(* -1/2 (/ (* 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)))
(* -1/2 (/ (* 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)))
(* -1/2 (/ (* 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)))
(* -1/2 (/ (* 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)))
(* -1/2 (/ (* 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)))
(* -1/2 (/ (* 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)))
(* -1/2 (/ (* 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)))
(* -1/2 (/ (* 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)))
(* -1/2 (/ (* 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)))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(/ (* (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) (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) (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) (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) (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) (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) (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) (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) (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) (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) (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) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* -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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D D) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D D) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D D) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D D) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D D) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D D) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* 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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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (neg.f64 d))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 d d) w0)) (*.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) 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)
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(/ (+ (* (* 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)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)) 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))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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#s(literal 1 binary64)
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w0
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(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)) w0)
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* 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 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (neg.f64 d))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 d d) w0)) (*.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) 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)
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(/ (+ (* (* 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)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)) 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 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 w0 (*.f64 h h)) (pow.f64 M #s(literal 4 binary64)))) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 l l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)) w0))
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w0
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w0
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
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(+ 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)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* 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 D (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))))) (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 M (*.f64 M M))))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))) w0) d) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 d w0)) (*.f64 (*.f64 D D) (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h))))))
(* 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 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (neg.f64 d))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
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(/ (+ (* (* 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)
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(/ (+ (* (* 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)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)) 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))))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)) 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))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)) w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -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)))))))
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(* -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))))))))
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(* -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)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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w0
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w0
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w0
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w0
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w0
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#s(literal 1 binary64)
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(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ (* D M) d)
(/.f64 (*.f64 D M) d)

rewrite456.0ms (2.5%)

Memory
-18.4MiB live, 611.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 142×lower-*.f32
7 084×lower-*.f64
4 124×lower-/.f32
4 110×lower-/.f64
3 668×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077507
0129507
1444457
23616457
010154454
Stop Event
iter limit
node limit
iter limit
Counts
29 → 695
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0)
(*.f64 D D)
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))
(*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))
(/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))
(*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))))
(*.f64 h (*.f64 M (*.f64 M w0)))
(/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l)))
(*.f64 D (*.f64 M M))
(*.f64 D (*.f64 D (*.f64 M M)))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d)))
(*.f64 M (*.f64 D (*.f64 M D)))
(*.f64 (/.f64 D d) M)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))))
(+.f64 (/.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) (fma.f64 h (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 h (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal -1 binary64))))
(fma.f64 M (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) h) #s(literal 1 binary64))
(fma.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64))
(fma.f64 h (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(fma.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) h) #s(literal 1 binary64))
(fma.f64 (*.f64 M (*.f64 D (*.f64 M D))) (/.f64 h (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) h #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) (*.f64 h #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 M (*.f64 d (*.f64 l #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) h) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)) (/.f64 (*.f64 M D) (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 M h) (/.f64 (*.f64 D (*.f64 M D)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 (*.f64 M D) h)) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64))
(fma.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (/.f64 h (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d (*.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d (*.f64 l #s(literal -2 binary64)))) d) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) l) (/.f64 h (*.f64 d (*.f64 #s(literal -2 binary64) (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal 2 binary64))) (/.f64 h (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 h d) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d (*.f64 l #s(literal -2 binary64)))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)) M) (/.f64 D (*.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)) (*.f64 M D)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 d l))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)) (/.f64 M l)) (/.f64 D (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 h (/.f64 M (*.f64 d (*.f64 l #s(literal -2 binary64))))) (/.f64 (*.f64 D (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 h (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h))) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) #s(literal -1 binary64)) (fma.f64 h (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 h (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))))
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(pow.f64 (/.f64 (fma.f64 h (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h)) (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) h))) (*.f64 (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64))
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(*.f64 (pow.f64 (/.f64 (*.f64 d (*.f64 l #s(literal -2 binary64))) (*.f64 D (*.f64 M D))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) M) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 l #s(literal -2 binary64))) (*.f64 D (*.f64 M D))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 d l) #s(literal -4 binary64)) M) #s(literal -1 binary64)) (pow.f64 (/.f64 d (*.f64 D (*.f64 M D))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 d l) #s(literal -4 binary64)) (*.f64 M D)) #s(literal -1 binary64)) (/.f64 (*.f64 M D) d))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 d l) #s(literal -4 binary64)) (*.f64 D (*.f64 M D))) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 M D)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 D) #s(literal 2 binary64) (*.f64 (log.f64 M) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 M) #s(literal 2 binary64) (*.f64 (log.f64 D) #s(literal 2 binary64))))
(pow.f64 (*.f64 M D) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 M D)) #s(literal 2 binary64))
(*.f64 M (*.f64 D (*.f64 M D)))
(*.f64 D (*.f64 M (*.f64 M D)))
(*.f64 (*.f64 M D) (*.f64 M D))
(*.f64 (*.f64 D D) (*.f64 M M))
(*.f64 (*.f64 M M) (*.f64 D D))
(*.f64 (*.f64 M (*.f64 M D)) D)
(*.f64 (*.f64 D (*.f64 M D)) M)
(*.f64 (neg.f64 (*.f64 M D)) (neg.f64 (*.f64 M D)))
(/.f64 M (/.f64 d D))
(/.f64 (*.f64 M D) d)
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 M D)))
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 d))
(/.f64 (*.f64 M #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 #s(literal 1 binary64) M) (/.f64 d D))
(pow.f64 (/.f64 d (*.f64 M D)) #s(literal -1 binary64))
(*.f64 M (/.f64 D d))
(*.f64 D (/.f64 M d))
(*.f64 D (*.f64 (/.f64 #s(literal 1 binary64) d) M))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 D d) M)

eval271.0ms (1.5%)

Memory
52.4MiB live, 575.2MiB allocated
Compiler

Compiled 68 453 to 3 557 computations (94.8% saved)

prune623.0ms (3.4%)

Memory
-35.4MiB live, 956.3MiB allocated
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New2 136172 153
Fresh358
Picked415
Done011
Total2 143242 167
Accuracy
92.2%
Counts
2 167 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.4%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) D) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
88.8%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
78.4%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
80.5%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
72.2%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
78.7%
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
88.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64)) d) #s(literal 1 binary64))))
62.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
77.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
56.0%
(*.f64 w0 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 D h) (*.f64 M D)) (*.f64 d (*.f64 l (neg.f64 d)))) M) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 M D)) (*.f64 d (*.f64 l (neg.f64 d))))) (*.f64 (*.f64 D h) (/.f64 (*.f64 D (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) d))) (*.f64 (*.f64 D h) (/.f64 (*.f64 D (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) d))) (*.f64 l (neg.f64 d)))))))
74.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))))))
83.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
12.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
54.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
71.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
54.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
54.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
72.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
56.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d d)) l) w0))
55.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
57.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
57.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
32.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))))) #s(literal -1 binary64))) w0))
9.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
Compiler

Compiled 1 366 to 825 computations (39.6% saved)

simplify202.0ms (1.1%)

Memory
17.8MiB live, 365.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
cost-diff384
(fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
cost-diff0
(fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
cost-diff0
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
cost-diff0
(*.f64 D D)
cost-diff0
(fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
cost-diff384
(*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l)))
cost-diff0
(*.f64 D D)
cost-diff0
(*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))
cost-diff0
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))))
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
cost-diff0
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
cost-diff384
(*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d))
Rules
6 914×lower-*.f32
6 866×lower-*.f64
4 212×lower-/.f32
4 196×lower-/.f64
1 580×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081767
0126768
1294765
21217765
34805729
46455729
08124729
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d))
(/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64)))
(*.f64 M D)
M
D
(*.f64 (*.f64 d l) #s(literal -4 binary64))
(*.f64 d l)
d
l
#s(literal -4 binary64)
(/.f64 (*.f64 M D) d)
h
#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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))))
(*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0))
#s(literal -1/8 binary64)
(*.f64 (*.f64 (*.f64 M M) h) w0)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
w0
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
(fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0)
(*.f64 D D)
D
(*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l)))
(/.f64 (*.f64 h #s(literal -1/8 binary64)) d)
(*.f64 h #s(literal -1/8 binary64))
h
#s(literal -1/8 binary64)
d
(/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))
(*.f64 M (*.f64 M w0))
M
(*.f64 M w0)
w0
(*.f64 d l)
l
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
D
(*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64)))
(/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l)))
(*.f64 M (*.f64 M D))
M
(*.f64 M D)
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
#s(literal 1 binary64)
w0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
(/.f64 D d)
D
d
(*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64)))
(/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l))
(*.f64 M (*.f64 M D))
M
(*.f64 M D)
(*.f64 d l)
l
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l (*.f64 #s(literal -4 binary64) (*.f64 d d)))) #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l (*.f64 #s(literal -4 binary64) (*.f64 d d)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))
(fma.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 l (*.f64 #s(literal -4 binary64) (*.f64 d d)))) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 #s(literal -4 binary64) (*.f64 d d))))
(/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64)))
(/.f64 (*.f64 M D) (*.f64 d (*.f64 l #s(literal -4 binary64))))
(*.f64 M D)
M
D
(*.f64 (*.f64 d l) #s(literal -4 binary64))
(*.f64 d (*.f64 l #s(literal -4 binary64)))
(*.f64 d l)
d
l
#s(literal -4 binary64)
(/.f64 (*.f64 M D) d)
h
#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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M w0)))))) (*.f64 d (*.f64 d l)))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M w0)))))) (*.f64 d (*.f64 d l))))
(*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M w0)))))) (*.f64 d (*.f64 d l)))
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l)))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0))
(*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M w0))))
#s(literal -1/8 binary64)
(*.f64 (*.f64 (*.f64 M M) h) w0)
(*.f64 M (*.f64 h (*.f64 M w0)))
(*.f64 (*.f64 M M) h)
(*.f64 h (*.f64 M M))
(*.f64 M M)
M
h
w0
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 d l))
(*.f64 d d)
d
l
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) w0))
(fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0)
(fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M w0))))) (*.f64 d (*.f64 d l))) w0)
(*.f64 D D)
D
(*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l)))
(/.f64 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 h #s(literal -1/8 binary64)) d)
(*.f64 #s(literal -1/8 binary64) (/.f64 h d))
(*.f64 h #s(literal -1/8 binary64))
h
#s(literal -1/8 binary64)
d
(/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))
(*.f64 M (*.f64 M w0))
M
(*.f64 M w0)
w0
(*.f64 d l)
l
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (*.f64 M (*.f64 D (/.f64 M (*.f64 d (*.f64 d l))))) (*.f64 D (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (*.f64 M (*.f64 D (/.f64 M (*.f64 d (*.f64 d l))))) (*.f64 D (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (*.f64 M (*.f64 D (/.f64 M (*.f64 d (*.f64 d l))))) (*.f64 D (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 M (*.f64 D (/.f64 M (*.f64 d (*.f64 d l))))) (*.f64 D (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
D
(*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M (*.f64 M D)))) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l)))
(*.f64 M (*.f64 D (/.f64 M (*.f64 d (*.f64 d l)))))
(*.f64 M (*.f64 M D))
M
(*.f64 M D)
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
#s(literal 1 binary64)
w0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (*.f64 M (*.f64 D (/.f64 M (*.f64 d (*.f64 d l))))) (*.f64 D (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (*.f64 M (*.f64 D (/.f64 M (*.f64 d (*.f64 d l))))) (*.f64 D (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (*.f64 M (*.f64 D (/.f64 M (*.f64 d (*.f64 d l))))) (*.f64 D (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 M (*.f64 D (/.f64 M (*.f64 d (*.f64 d l))))) (*.f64 D (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
(/.f64 D d)
D
d
(*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 M (*.f64 M D)))) (*.f64 d l))
(/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l))
(*.f64 M (*.f64 D (/.f64 M (*.f64 d l))))
(*.f64 M (*.f64 M D))
M
(*.f64 M D)
(*.f64 d l)
l
(*.f64 h #s(literal -1/4 binary64))
h
#s(literal -1/4 binary64)
#s(literal 1 binary64)

localize260.0ms (1.4%)

Memory
25.7MiB live, 438.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy97.3%
(fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
accuracy90.9%
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
accuracy86.0%
(*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64)))
accuracy85.0%
(/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l))
accuracy98.1%
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
accuracy90.9%
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
accuracy89.5%
(*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64)))
accuracy81.8%
(/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l)))
accuracy88.9%
(*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l)))
accuracy84.4%
(/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))
accuracy82.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
accuracy77.6%
(fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0)
accuracy82.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
accuracy81.4%
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))
accuracy72.2%
(*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))
accuracy32.3%
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))))
accuracy98.1%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
accuracy92.3%
(/.f64 (*.f64 M D) d)
accuracy90.9%
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64)))
accuracy85.8%
(/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64)))
Samples
161.0ms256×0valid
Compiler

Compiled 578 to 74 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-mult: 82.0ms (65.5% of total)
ival-div: 22.0ms (17.6% of total)
ival-add: 7.0ms (5.6% of total)
ival-sqrt: 5.0ms (4% of total)
ival-pow2: 5.0ms (4% of total)
ival-sub: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series154.0ms (0.8%)

Memory
-6.3MiB live, 249.4MiB allocated
Counts
27 → 1 584
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))) (patch #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))) (patch (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))) #<representation binary64>) () ())
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) (patch (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0) (patch (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0) (patch (*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)) (patch (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (patch (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) d) (patch (/.f64 (*.f64 M D) d) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l)) (patch (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (patch (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 M) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 M) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 M) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 M) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf M) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf M) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf M) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf M) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 D) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 D) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 D) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 D) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf D) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf D) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf D) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf D) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf D) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf D) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf D) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf D) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 d) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 d) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 d) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 d) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf d) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf d) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf d) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor inf d) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (taylor 0 l) (#s(alt (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) (patch (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf D) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf D) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf D) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 d) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 d) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 d) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 d) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor inf d) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor inf d) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor inf d) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor inf d) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 l) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 l) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 l) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 l) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor inf l) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor inf l) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor inf l) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor inf l) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf l) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf l) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf l) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf l) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 h) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 h) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 h) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 h) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor inf h) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor inf h) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor inf h) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor inf h) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf h) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf h) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf h) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf h) (#s(alt (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
Calls

396 calls:

TimeVariablePointExpression
4.0ms
d
@inf
(* (* D D) (/ (* -1/8 (* (* (* M M) h) w0)) (* (* d d) l)))
3.0ms
l
@-inf
(/ (* M (* M D)) (* d (* d l)))
2.0ms
l
@-inf
(* (/ (* M D) (* (* d l) -4)) (/ (* M D) d))
1.0ms
h
@0
(* (/ (* M (* M D)) (* d (* d l))) (* h -1/4))
1.0ms
M
@0
(* (/ (* M (* M D)) (* d (* d l))) (* h -1/4))

simplify529.0ms (2.9%)

Memory
20.4MiB live, 801.7MiB allocated
Algorithm
egg-herbie
Rules
8 548×lower-*.f64
8 548×lower-*.f32
6 708×lower-fma.f64
6 708×lower-fma.f32
4 714×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068137599
1236437415
0855636366
Stop Event
iter limit
node limit
Counts
1 584 → 1 535
Calls
Call 1
Inputs
(* -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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
(* -1/4 (/ (* (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)))
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)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* 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))))))
(* 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)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* 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)))))))
(* -1 (* 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))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* 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)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* 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)))))))))
(* (/ (* 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))))))))
(* -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)))))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
1
(+ 1 (* -1/8 (/ (* (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)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* 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))))))
(* 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)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* 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)))))))
(* -1 (* 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))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* 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
(+ 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 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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w0
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
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w0
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1
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(* (/ (* D (* M (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
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(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* 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
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1
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1
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(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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1
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1
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1
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1
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1
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1
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w0
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w0
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1
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1
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1
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1
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1
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(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
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(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
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(/ (* D (pow M 2)) (* (pow d 2) l))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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Outputs
(* -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 (*.f64 d d) l)))
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(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -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 (*.f64 d d) l)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (* (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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(* 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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w0
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w0
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1
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(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 (*.f64 M M) h))) (*.f64 d l))

rewrite334.0ms (1.8%)

Memory
-5.6MiB live, 505.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 586×lower-*.f32
5 538×lower-*.f64
3 346×lower-/.f32
3 330×lower-/.f64
2 718×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081628
0126626
1465598
23614598
08130584
Stop Event
iter limit
node limit
iter limit
Counts
27 → 805
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))))
(*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))
(*.f64 D D)
(*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
(fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0)
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64)))
(/.f64 (*.f64 M D) d)
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))
(/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l)))
(*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64)))
(/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l))
(*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64)))
Outputs
(/.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -4 binary64)))) (/.f64 d (*.f64 M D)))
(/.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (*.f64 M D)) (/.f64 d (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d (*.f64 M D)) (/.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64)))) (*.f64 M (*.f64 D (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 d #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64)))))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 (*.f64 d l) #s(literal 4 binary64)) (neg.f64 d)))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (neg.f64 d) (*.f64 (*.f64 d l) #s(literal 4 binary64))))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 d d))) #s(literal -4 binary64))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 d #s(literal -4 binary64)))) d)
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 l (*.f64 d #s(literal -4 binary64))))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (/.f64 d (*.f64 M D))))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 d (/.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (*.f64 M D))))
(/.f64 (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (neg.f64 d)))
(/.f64 (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D))) (*.f64 d (*.f64 (*.f64 d l) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M D)) (*.f64 (/.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (*.f64 M D)) d))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M D)) (*.f64 (/.f64 d (*.f64 M D)) (*.f64 l (*.f64 d #s(literal -4 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 M D))) (*.f64 (/.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (*.f64 M D)) (neg.f64 d)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 M D))) (*.f64 (/.f64 d (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal 4 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d l) #s(literal 4 binary64)) d))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) (*.f64 M D)) (*.f64 (neg.f64 d) (*.f64 l (*.f64 d #s(literal -4 binary64)))))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 d l) #s(literal 4 binary64)) (/.f64 d (*.f64 M D))))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64)) (*.f64 (neg.f64 d) (/.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (*.f64 M D))))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d l)) (*.f64 M D)) (*.f64 #s(literal -4 binary64) d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d l)) #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d l)) (neg.f64 (*.f64 M D))) (*.f64 #s(literal -4 binary64) (neg.f64 d)))
(/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d l))) (*.f64 d #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M D) (*.f64 d l))) (*.f64 (/.f64 d (*.f64 M D)) #s(literal -4 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) (/.f64 (*.f64 M D) (*.f64 d l))) (*.f64 (neg.f64 d) #s(literal -4 binary64)))
(/.f64 (neg.f64 (*.f64 M (*.f64 D (*.f64 M D)))) (neg.f64 (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64))))))
(/.f64 (neg.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 d #s(literal -4 binary64))))) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) (*.f64 (*.f64 d l) #s(literal 4 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64)) (/.f64 d (*.f64 M D)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -4 binary64)))) (neg.f64 (*.f64 M D))) (neg.f64 d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) (/.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (*.f64 M D)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) (neg.f64 (*.f64 M D))) (*.f64 (*.f64 d l) #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) (/.f64 (*.f64 M D) d)) (*.f64 (*.f64 d l) #s(literal 4 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d l)) (/.f64 (*.f64 M D) d)) #s(literal -4 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -4 binary64))))) (neg.f64 d))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) d) (*.f64 l #s(literal -4 binary64)))
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(literal -4 binary64)) (*.f64 d l))
(pow.f64 (*.f64 (/.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (*.f64 M D)) (/.f64 d (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 d (*.f64 M D)) (/.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64)))) (*.f64 M (*.f64 D (*.f64 M D)))) #s(literal -1 binary64))
(pow.f64 (/.f64 d (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 d #s(literal -4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 l (*.f64 d #s(literal -4 binary64))) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal -1 binary64))
(*.f64 M (*.f64 (/.f64 D (*.f64 l (*.f64 d #s(literal -4 binary64)))) (/.f64 (*.f64 M D) d)))
(*.f64 M (*.f64 (/.f64 D d) (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -4 binary64))))))
(*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d l)) (/.f64 (*.f64 M D) d)))
(*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -4 binary64))))))
(*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64))))))
(*.f64 (*.f64 M D) (/.f64 (/.f64 (*.f64 M D) d) (*.f64 l (*.f64 d #s(literal -4 binary64)))))
(*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -4 binary64)))) (/.f64 (*.f64 M D) d))
(*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -4 binary64)))))
(*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 l (*.f64 d d))) (*.f64 D #s(literal -1/4 binary64)))
(*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64))))))
(*.f64 (/.f64 M (*.f64 d l)) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (/.f64 (*.f64 M D) d)))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d l)) (/.f64 (/.f64 (*.f64 M D) d) #s(literal -4 binary64)))
(*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 d #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 #s(literal -1/4 binary64) (*.f64 d l)))
(*.f64 (/.f64 (*.f64 M D) #s(literal -4 binary64)) (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))))
(*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -4 binary64)))) M) (/.f64 D d))
(*.f64 (*.f64 (/.f64 (*.f64 M D) d) M) (/.f64 D (*.f64 l (*.f64 d #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64))))) h #s(literal 1 binary64))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64))))) h #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64))))) (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64)))))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 d d))) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 d d))) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 d d))))) #s(literal -64 binary64)) (*.f64 h (*.f64 h h)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64))))) h #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64))))) (*.f64 h (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64)))))) #s(literal -1 binary64)))))
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(/.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 d d))) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 d d))) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 l (*.f64 d d))))) #s(literal -64 binary64)) (*.f64 h (*.f64 h h)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64))))) (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64)))))) (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 d (*.f64 l (*.f64 d #s(literal -4 binary64)))))))))
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eval277.0ms (1.5%)

Memory
3.7MiB live, 469.1MiB allocated
Compiler

Compiled 68 789 to 3 421 computations (95% saved)

prune1.3s (7.2%)

Memory
43.3MiB live, 985.8MiB allocated
Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New2 342162 358
Fresh10717
Picked145
Done112
Total2 354282 382
Accuracy
92.2%
Counts
2 382 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.4%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) D) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
85.3%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d l)) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) d) h)) #s(literal 1 binary64))) w0)
91.0%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 M D) d) (*.f64 l #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
88.1%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
80.5%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
78.7%
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
68.9%
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
77.0%
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
56.0%
(*.f64 w0 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 D h) (*.f64 M D)) (*.f64 d (*.f64 l (neg.f64 d)))) M) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 M D)) (*.f64 d (*.f64 l (neg.f64 d))))) (*.f64 (*.f64 D h) (/.f64 (*.f64 D (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) d))) (*.f64 (*.f64 D h) (/.f64 (*.f64 D (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) d))) (*.f64 l (neg.f64 d)))))))
83.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
12.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
54.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
71.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
54.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
72.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
57.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
12.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 d l)) d)))
10.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 d (neg.f64 l))))))
10.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
11.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d d))) D)))
10.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) l) (*.f64 D D)))))
13.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 d l))))))
9.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
11.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
13.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 d l)))))))
10.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 l (*.f64 d d)))))))
11.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 w0 (*.f64 l (*.f64 d d)))))))
9.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 l (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) #s(literal -1 binary64))))))
Compiler

Compiled 2 210 to 862 computations (61% saved)

regimes323.0ms (1.8%)

Memory
4.0MiB live, 443.7MiB allocated
Counts
62 → 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) 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)))) (* d (* d l)))) w0) (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) D) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d l)) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) d) h)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 (neg.f64 h) D) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 M D) d) (*.f64 l #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64)) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D D) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 D D)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (/.f64 l h) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 l (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) #s(literal -1 binary64))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d (*.f64 d l)) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))))) #s(literal -1 binary64))) w0))
(*.f64 w0 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 D h) (*.f64 M D)) (*.f64 d (*.f64 l (neg.f64 d)))) M) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 D h) (*.f64 M D)) (*.f64 d (*.f64 l (neg.f64 d))))) (*.f64 (*.f64 D h) (/.f64 (*.f64 D (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) d))) (*.f64 (*.f64 D h) (/.f64 (*.f64 D (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) d))) (*.f64 l (neg.f64 d)))))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
Calls

15 calls:

36.0ms
M
33.0ms
l
27.0ms
D
25.0ms
(*.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)))))
21.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
91.8%1w0
91.8%1M
91.8%1D
91.8%1h
91.8%1l
91.8%1d
91.8%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)))))
91.8%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))))
91.8%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)))
91.8%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
91.8%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
91.8%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
91.8%1(*.f64 M D)
91.8%1(*.f64 #s(literal 2 binary64) d)
91.8%1(/.f64 h l)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes265.0ms (1.4%)

Memory
-32.7MiB live, 513.9MiB allocated
Counts
57 → 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) 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)))) (* d (* d l)))) w0) (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) D) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d l)) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) d) h)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 (neg.f64 h) D) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 M D) d) (*.f64 l #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 (*.f64 M D) h) #s(literal 1/2 binary64)) d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D D) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 D D)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (/.f64 l h) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h))))))
Outputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 M D) d) (*.f64 l #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
Calls

15 calls:

34.0ms
w0
20.0ms
D
19.0ms
(*.f64 #s(literal 2 binary64) d)
18.0ms
l
17.0ms
d
Results
AccuracySegmentsBranch
91.0%1h
91.0%1w0
91.0%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)))))
91.0%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))))
91.0%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)))
91.0%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
91.0%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
91.0%1(/.f64 h l)
91.0%1M
91.0%1D
91.0%1l
91.0%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
91.0%1(*.f64 M D)
91.0%1d
91.0%1(*.f64 #s(literal 2 binary64) d)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes208.0ms (1.1%)

Memory
-9.8MiB live, 340.2MiB allocated
Counts
47 → 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) 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)))) (* d (* d l)))) w0) (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) D) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d l)) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) d) h)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 (neg.f64 h) D) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
Calls

15 calls:

16.0ms
d
16.0ms
w0
15.0ms
(/.f64 h l)
14.0ms
D
14.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
88.8%1w0
88.8%1h
88.8%1d
88.8%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)))))
88.8%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))))
88.8%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)))
88.8%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
88.8%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
88.8%1(*.f64 #s(literal 2 binary64) d)
88.8%1(/.f64 h l)
88.8%1M
88.8%1D
88.8%1l
88.8%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
88.8%1(*.f64 M D)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes208.0ms (1.1%)

Memory
27.2MiB live, 257.0MiB allocated
Counts
46 → 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) 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)))) (* d (* d l)))) w0) (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) D) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d l)) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) d) h)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 (neg.f64 h) D) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
Outputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
Calls

15 calls:

18.0ms
d
17.0ms
l
16.0ms
(*.f64 #s(literal 2 binary64) d)
15.0ms
(*.f64 M D)
15.0ms
D
Results
AccuracySegmentsBranch
88.8%1w0
88.8%1d
88.8%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)))))
88.8%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))))
88.8%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)))
88.8%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
88.8%1(*.f64 #s(literal 2 binary64) d)
88.8%1h
88.8%1l
88.8%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
88.8%1M
88.8%1D
88.8%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
88.8%1(*.f64 M D)
88.8%1(/.f64 h l)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes223.0ms (1.2%)

Memory
2.2MiB live, 321.7MiB allocated
Counts
39 → 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) 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)))) (* d (* d l)))) w0) (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) D) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
Outputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
Calls

15 calls:

56.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
14.0ms
D
14.0ms
d
13.0ms
(/.f64 h l)
12.0ms
w0
Results
AccuracySegmentsBranch
88.1%1w0
88.1%1h
88.1%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
88.1%1d
88.1%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)))))
88.1%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))))
88.1%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)))
88.1%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
88.1%1(*.f64 #s(literal 2 binary64) d)
88.1%1(/.f64 h l)
88.1%1M
88.1%1D
88.1%1l
88.1%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
88.1%1(*.f64 M D)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes168.0ms (0.9%)

Memory
-15.6MiB live, 259.9MiB allocated
Counts
38 → 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) 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)))) (* d (* d l)))) w0) (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) D) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
Outputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
Calls

15 calls:

13.0ms
M
13.0ms
(/.f64 h l)
12.0ms
w0
12.0ms
l
12.0ms
d
Results
AccuracySegmentsBranch
83.8%1w0
83.8%1h
83.8%1l
85.6%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
83.8%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
83.8%1M
87.3%2D
87.3%2d
83.8%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)))))
86.6%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
86.6%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)))
83.8%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
87.6%2(*.f64 M D)
87.3%2(*.f64 #s(literal 2 binary64) d)
83.8%1(/.f64 h l)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes91.0ms (0.5%)

Memory
-10.8MiB live, 115.9MiB allocated
Counts
37 → 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) 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)))) (* d (* d l)))) w0) (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) D) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d d)) (/.f64 (*.f64 h #s(literal -1/4 binary64)) l)) #s(literal 1 binary64)))) w0)
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
Calls

8 calls:

15.0ms
(-.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)))
12.0ms
(*.f64 #s(literal 2 binary64) d)
11.0ms
h
11.0ms
d
11.0ms
D
Results
AccuracySegmentsBranch
83.8%1h
83.8%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
83.8%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))))
83.8%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)))
83.8%1d
83.8%1(*.f64 #s(literal 2 binary64) d)
83.8%1D
83.8%1(*.f64 M D)
Compiler

Compiled 101 to 77 computations (23.8% saved)

regimes160.0ms (0.9%)

Memory
33.6MiB live, 187.4MiB allocated
Counts
34 → 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) 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)))) (* d (* d l)))) w0) (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) h) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) D) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
Calls

15 calls:

17.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
14.0ms
l
12.0ms
w0
11.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
10.0ms
(*.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)))))
Results
AccuracySegmentsBranch
85.2%2D
82.5%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)))))
84.3%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
84.3%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
85.2%2(*.f64 M D)
83.3%2M
80.5%1l
80.5%1d
84.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
83.7%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
80.5%1(*.f64 #s(literal 2 binary64) d)
83.3%2(/.f64 h l)
80.5%1w0
83.7%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
80.5%1h
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes38.0ms (0.2%)

Memory
9.5MiB live, 48.0MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) 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)))) (* d (* d l)))) w0) (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0)
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0)
Calls

4 calls:

13.0ms
D
8.0ms
(*.f64 M D)
7.0ms
(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))))
7.0ms
(-.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
83.4%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
83.4%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
83.6%2D
84.3%2(*.f64 M D)
Compiler

Compiled 59 to 44 computations (25.4% saved)

regimes35.0ms (0.2%)

Memory
-23.7MiB live, 53.6MiB allocated
Counts
27 → 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) 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)))) (* d (* d l)))) w0) (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0)
Calls

4 calls:

10.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
9.0ms
(*.f64 M D)
7.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
7.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
82.5%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
82.5%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
83.4%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
83.7%2(*.f64 M D)
Compiler

Compiled 56 to 41 computations (26.8% saved)

regimes122.0ms (0.7%)

Memory
12.1MiB live, 205.7MiB 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) 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)))) (* d (* d l)))) w0) (/.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 d l)) d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) (/.f64 (*.f64 M (*.f64 M w0)) (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) (*.f64 d d)) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 M w0)) #s(literal -1/8 binary64))) l) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 d l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

15 calls:

11.0ms
h
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)))
9.0ms
(/.f64 h l)
8.0ms
(*.f64 #s(literal 2 binary64) d)
8.0ms
d
Results
AccuracySegmentsBranch
79.6%4d
79.6%4(*.f64 #s(literal 2 binary64) d)
74.1%2w0
74.2%2l
72.4%1h
79.5%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
80.4%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
80.4%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
77.4%2M
77.7%2(/.f64 h l)
81.0%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
80.4%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
80.4%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
79.9%3D
80.1%3(*.f64 M D)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes5.0ms (0%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d d)) (/.f64 w0 l)))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 d l)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

4.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
80.6%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)

regimes21.0ms (0.1%)

Memory
0.2MiB live, 39.1MiB allocated
Counts
13 → 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D #s(literal -1/8 binary64)) (/.f64 (*.f64 h (*.f64 M (*.f64 M w0))) (*.f64 d (*.f64 d l)))) D w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) #s(literal 1/8 binary64)) (*.f64 D D)) (*.f64 d (*.f64 d (neg.f64 l))))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

5 calls:

5.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
4.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
4.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
4.0ms
(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))))
4.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Results
AccuracySegmentsBranch
79.1%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
79.1%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
79.9%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
79.9%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
80.0%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 90 to 65 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory
-21.5MiB live, 16.9MiB allocated
Counts
8 → 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

3 calls:

4.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
3.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
3.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
78.5%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
78.8%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
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 47 to 34 computations (27.7% saved)

regimes6.0ms (0%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) w0)) (*.f64 (*.f64 d d) l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M))))) (*.f64 l (*.f64 d 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)))) (* d (* d l)))) w0) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))))) (*.f64 l (*.f64 d d)))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 w0 (*.f64 l (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
2.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
79.2%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)))))
79.3%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 43 to 30 computations (30.2% saved)

regimes26.0ms (0.1%)

Memory
-4.0MiB live, 41.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

15 calls:

8.0ms
M
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
(*.f64 #s(literal 2 binary64) d)
1.0ms
w0
1.0ms
l
Results
AccuracySegmentsBranch
71.2%1h
71.2%1w0
71.2%1l
71.2%1d
71.2%1(*.f64 #s(literal 2 binary64) d)
71.2%1M
71.2%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)))))
71.2%1(/.f64 h l)
71.2%1D
71.2%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
71.2%1(*.f64 M D)
71.2%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
71.2%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))))
71.2%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)))
71.2%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
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2813200976576432e-11
2.6120091053464667e-11
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.474075022499178e-188
3.860751945825319e-185
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4217652435517602e-120
6.461131137303963e-120
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.474075022499178e-188
3.860751945825319e-185
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.881255650605496e+172
-9.949263031583172e+127
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.881255650605496e+172
-9.949263031583172e+127
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.465256279985279e+114
-7.044131720371643e+101
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.465256279985279e+114
-7.044131720371643e+101
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.367101257041692e+210
-9.305278063274401e+204
Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify13.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Algorithm
egg-herbie
Rules
116×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179859
1240859
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 M D) d) (*.f64 l #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
(if (<=.f64 (*.f64 M D) #s(literal 7737125245533627/309485009821345068724781056 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 M D) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0))
(if (<=.f64 (*.f64 M D) #s(literal 5814709794364855/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0))
(if (<=.f64 (*.f64 M D) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 d l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999854227564838689211149197336306589765346917850784974389287407264558197116118932362088956801451687625676673590243122062793009333835997028916892708287058863843646543590072500136370325609393187454976 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 w0 (*.f64 l (*.f64 d d))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 M D) d) (*.f64 l #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (/.f64 (*.f64 M D) d) (*.f64 l #s(literal -4 binary64)))) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 h (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal -2 binary64)) l))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 (*.f64 M D) d)) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 #s(literal -4 binary64) (*.f64 d l)))) h #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (*.f64 D (/.f64 M d))) h #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal -4 binary64) (*.f64 d l))) (*.f64 D (/.f64 M d))) h #s(literal 1 binary64))))
(if (<=.f64 (*.f64 M D) #s(literal 7737125245533627/309485009821345068724781056 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -4 binary64))) (/.f64 M d)) h #s(literal 1 binary64))) w0) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 M D) #s(literal 7737125245533627/309485009821345068724781056 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 D (*.f64 M D)) (*.f64 #s(literal -4 binary64) (*.f64 d l)))) h #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d l)) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 M D) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 (*.f64 d l) #s(literal -4 binary64))))) h #s(literal 1 binary64))) w0))
(if (<=.f64 (*.f64 M D) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d (*.f64 #s(literal -4 binary64) (*.f64 d l))))) h #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 M D) #s(literal 5814709794364855/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal -1/4 binary64))) #s(literal 1 binary64)))) w0))
(if (<=.f64 (*.f64 M D) #s(literal 5814709794364855/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M (*.f64 M D)) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 M D) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) (*.f64 h #s(literal -1/4 binary64)))) #s(literal 1 binary64)))) w0))
(if (<=.f64 (*.f64 M D) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (* (* M D) (/ (* M D) (* (* d d) 4))) (/ h l))) (fma.f64 D (*.f64 M (*.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))))) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal -1/8 binary64) d)) M) (*.f64 w0 (/.f64 M (*.f64 d l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 M (*.f64 (*.f64 h (*.f64 D D)) (/.f64 #s(literal -1/8 binary64) d))) (*.f64 w0 (/.f64 M (*.f64 d l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) d) M) (*.f64 w0 (/.f64 M (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000000000000701959312789985260891230985285064568046915021472510652274325054054092066621782843422306142881889050953096494638431569844936383886042210844858380302841544704 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 w0 (/.f64 M (*.f64 d l))) (*.f64 M (/.f64 (*.f64 h #s(literal -1/8 binary64)) d)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h (*.f64 M w0)) M)) (*.f64 d (*.f64 d l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 h (*.f64 w0 M)))) (*.f64 d (*.f64 d l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 d (*.f64 d l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 w0 M)))) (*.f64 d (*.f64 d l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999854227564838689211149197336306589765346917850784974389287407264558197116118932362088956801451687625676673590243122062793009333835997028916892708287058863843646543590072500136370325609393187454976 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 w0 (*.f64 l (*.f64 d d))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999854227564838689211149197336306589765346917850784974389287407264558197116118932362088956801451687625676673590243122062793009333835997028916892708287058863843646543590072500136370325609393187454976 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* d (* d l)))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 w0 (*.f64 l (*.f64 d d))))))) (*.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)))

soundness2.0s (11%)

Memory
-104.3MiB live, 1 385.9MiB allocated
Rules
10 592×lower-*.f64
10 592×lower-*.f32
10 482×lower-*.f64
10 482×lower-*.f32
8 912×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068336052
1236135860
0854134783
081628
0126626
1465598
23614598
08130584
06288158
121898136
084867930
057397
096388
1345333
23409333
08806319
01778
02678
18278
255078
3707378
0866178
077507
0129507
1444457
23616457
010154454
066235475
1229435245
0822234197
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 644 to 877 computations (46.7% saved)

preprocess290.0ms (1.6%)

Memory
0.7MiB live, 437.7MiB allocated
Remove

(sort M D)

(negabs w0)

(abs M)

(abs D)

(abs d)

Compiler

Compiled 2 892 to 1 516 computations (47.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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