Henrywood and Agarwal, Equation (9a)

Time bar (total: 20.0s)

analyze554.0ms (2.8%)

Memory
1.7MiB live, 592.7MiB 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)

sample2.3s (11.3%)

Memory
36.8MiB live, 2 761.9MiB allocated
Samples
1.3s8 256×0valid
292.0ms2 717×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 388.0ms (38.6% of total)
ival-div: 234.0ms (23.3% of total)
ival-pow2: 173.0ms (17.2% of total)
ival-sqrt: 110.0ms (11% of total)
ival-sub: 77.0ms (7.7% of total)
exact: 10.0ms (1% of total)
ival-true: 8.0ms (0.8% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess245.0ms (1.2%)

Memory
-58.8MiB live, 254.6MiB 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)

explain253.0ms (1.3%)

Memory
31.7MiB live, 422.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-1(5.364465399977646e+265 6.261642949984028e-45 2.2480475133149614e+72 -1.2214133750006897e-272 -2.494182044724362e+39 45535.265867692564)(*.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))))
180-1(5.182112431224964e-206 1.1795908867669166e-159 5.7013321332344395e-157 -9.383227603074562e-93 8.853554911504262e-49 3.095328606991606e-21)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
100-0-(*.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))overflow58
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))overflow60
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))overflow35
(*.f64 M D)overflow18
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow29
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow60
(/.f64 h l)overflow17
*.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*o100
*.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)overflow18
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u20
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow58
(*.f64 M D)overflow18
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow29
(/.f64 h l)underflow35
Confusion
Predicted +Predicted -
+3610
-11199
Precision
0.7659574468085106
Recall
0.782608695652174
Confusion?
Predicted +Predicted MaybePredicted -
+36010
-110199
Precision?
0.7659574468085106
Recall?
0.782608695652174
Freqs
test
numberfreq
0209
143
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
64.0ms512×0valid
Compiler

Compiled 242 to 72 computations (70.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 11.0ms (32.4% of total)
ival-div: 9.0ms (26.5% of total)
ival-pow2: 6.0ms (17.7% of total)
ival-sqrt: 4.0ms (11.8% of total)
ival-sub: 2.0ms (5.9% of total)
exact: 1.0ms (2.9% 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
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.6%
(*.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)

simplify222.0ms (1.1%)

Memory
-20.0MiB live, 294.3MiB 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

localize49.0ms (0.2%)

Memory
3.3MiB live, 41.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy96.2%
(*.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)))))
accuracy93.5%
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy90.8%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy85.8%
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Samples
27.0ms256×0valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (40.5% of total)
ival-div: 3.0ms (20.2% of total)
ival-sqrt: 2.0ms (13.5% of total)
ival-pow2: 2.0ms (13.5% of total)
ival-sub: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series72.0ms (0.4%)

Memory
15.8MiB live, 127.3MiB allocated
Counts
6 → 324
Calls
Call 1
Inputs
#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
Outputs
#s(alt (* 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>) () ())) ())
#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
5.0ms
d
@0
(* w0 (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
M
@0
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
2.0ms
l
@0
(- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))

simplify367.0ms (1.8%)

Memory
49.1MiB live, 700.6MiB 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)

rewrite327.0ms (1.6%)

Memory
-14.9MiB live, 549.2MiB 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))))

eval170.0ms (0.8%)

Memory
24.0MiB live, 251.1MiB allocated
Compiler

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

prune199.0ms (1%)

Memory
-40.3MiB live, 354.4MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New990161 006
Fresh000
Picked101
Done000
Total991161 007
Accuracy
90.7%
Counts
1 007 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.4%
(*.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))))
89.2%
(*.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))))
86.2%
(*.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))))
85.7%
(*.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))))
79.9%
(*.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))))
65.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
67.3%
(*.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))))
62.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d))))
64.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
75.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))))
74.0%
(*.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)))))
57.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
16.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))))
54.7%
(*.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))))
65.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
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 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
Compiler

Compiled 866 to 564 computations (34.9% saved)

simplify242.0ms (1.2%)

Memory
-0.3MiB live, 357.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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-diff512
(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
(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))
cost-diff0
(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)))
cost-diff0
(*.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))))
cost-diff384
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
cost-diff0
(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))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 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-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-diff1088
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
Rules
7 730×lower-*.f32
7 688×lower-*.f64
2 766×lower-/.f32
2 746×lower-/.f64
2 674×lower-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063567
0107566
1225558
2764543
34889536
47974536
08238536
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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(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))
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))
#s(literal -1/4 binary64)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
#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))))
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)))
(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 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
(/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M)
(*.f64 (*.f64 D (neg.f64 M)) D)
(*.f64 D (neg.f64 M))
D
(neg.f64 M)
M
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
d
#s(literal 4 binary64)
l
h
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (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)
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 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #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)))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #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))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))
(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))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))
(*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))
#s(literal -1/4 binary64)
(*.f64 (*.f64 M M) h)
(*.f64 M (*.f64 M h))
(*.f64 M M)
M
h
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 d l))
(*.f64 d d)
d
l
#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 h (/.f64 (*.f64 M (*.f64 D (*.f64 M (neg.f64 D)))) (*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))))
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)))
(sqrt.f64 (fma.f64 h (/.f64 (*.f64 M (*.f64 D (*.f64 M (neg.f64 D)))) (*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)))
(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))
(fma.f64 h (/.f64 (*.f64 M (*.f64 D (*.f64 M (neg.f64 D)))) (*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
(/.f64 (*.f64 M (*.f64 D (*.f64 M (neg.f64 D)))) (*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(neg.f64 (*.f64 M (*.f64 D (*.f64 M (/.f64 D (*.f64 d (*.f64 d #s(literal 4 binary64))))))))
(*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M)
(*.f64 M (*.f64 D (*.f64 M (neg.f64 D))))
(*.f64 (*.f64 D (neg.f64 M)) D)
(*.f64 D (*.f64 M (neg.f64 D)))
(*.f64 D (neg.f64 M))
(*.f64 M (neg.f64 D))
D
(neg.f64 M)
M
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d (*.f64 d #s(literal 4 binary64)))
(*.f64 d d)
d
#s(literal 4 binary64)
l
h
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d 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 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d 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 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 D (*.f64 M (/.f64 (*.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 l)
h
l
#s(literal 1 binary64)

localize385.0ms (1.9%)

Memory
-18.4MiB live, 258.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy96.2%
(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))
accuracy90.8%
(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)))
accuracy86.5%
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
accuracy83.0%
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy94.3%
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
accuracy92.6%
(*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M)
accuracy90.8%
(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)))
accuracy79.3%
(/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy89.5%
(*.f64 (*.f64 d d) l)
accuracy88.5%
(*.f64 (*.f64 M M) h)
accuracy83.0%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
accuracy79.0%
(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))
accuracy96.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy65.2%
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy93.5%
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy92.2%
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
accuracy91.4%
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
accuracy90.8%
(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)))
Samples
97.0ms256×0valid
Compiler

Compiled 518 to 61 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 34.0ms (50.7% of total)
ival-div: 16.0ms (23.9% of total)
ival-sqrt: 6.0ms (8.9% of total)
ival-add: 4.0ms (6% of total)
ival-neg: 2.0ms (3% of total)
ival-pow2: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series208.0ms (1%)

Memory
27.5MiB live, 218.8MiB allocated
Counts
25 → 1 320
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 (/.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 (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 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) (patch (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) #<representation binary64>) () ())
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<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 (*.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 (/.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 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) h) (patch (*.f64 (*.f64 M M) h) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (patch (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) #<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>) () ())
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>) () ())) ())
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#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 M) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 M) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 M) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor 0 M) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf M) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf M) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf M) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor inf M) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf M) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf M) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf M) (#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 (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf M) (#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>) () ())) ())
Calls

330 calls:

TimeVariablePointExpression
25.0ms
d
@-inf
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
16.0ms
M
@0
(* (/ D d) (* (* M M) 1/4))
7.0ms
d
@inf
(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms
D
@0
(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms
M
@0
(/ (/ (* M D) (* 2 d)) (/ 1 h))

simplify687.0ms (3.4%)

Memory
13.3MiB live, 716.5MiB allocated
Algorithm
egg-herbie
Rules
10 432×lower-*.f64
10 432×lower-*.f32
8 468×lower-fma.f64
8 468×lower-fma.f32
2 730×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065935067
1228234837
0819533789
Stop Event
iter limit
node limit
Counts
1 320 → 1 285
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))
(* -1/2 (/ (* 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)
(/ (+ (* (/ (* 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)))))))))
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)))))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow 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))))
(* -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))))
(+ 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 (* 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)))))))))
(* (/ (* 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)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow 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
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w0
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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))))) (+ (* 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) (+ (* -1/8 (* (/ (* (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
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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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)))))
(* 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))))) (+ (* 1/16 (* (/ (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
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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))))
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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
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1
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1
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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))))))
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(/ (+ (* 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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(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
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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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(* 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)))
(* 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)))))))))
(* (/ (* 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)))
(* 1/2 (/ (* 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 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* -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 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 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))
Outputs
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D (* M h)) d))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -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 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d (*.f64 d w0)) (sqrt.f64 (/.f64 l h))) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.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 h (*.f64 w0 (*.f64 M M)))) (*.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
(+ 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))))))
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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)
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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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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w0
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w0
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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w0
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w0
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w0
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w0
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w0
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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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 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d (*.f64 d w0)) (sqrt.f64 (/.f64 l h))) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.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)
(/.f64 (fma.f64 D (*.f64 (*.f64 M w0) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 h l)))) (*.f64 (*.f64 d d) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 w0 (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d w0))) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M M))))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h 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)
(/.f64 (fma.f64 (*.f64 d d) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 w0 (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64)))))) (*.f64 (*.f64 d d) (fma.f64 (/.f64 (*.f64 d (*.f64 d w0)) (*.f64 (pow.f64 D #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #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)) (*.f64 (/.f64 w0 (*.f64 D (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M M))))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))) #s(literal -1/8 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D M)) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))))) d)
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 w0 (*.f64 M M)))) (*.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))))))
(fma.f64 D (*.f64 D (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 h h) (*.f64 w0 (pow.f64 M #s(literal 4 binary64))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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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 w0 (*.f64 M M)))) (*.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))))))
(fma.f64 D (*.f64 D (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 h h) (*.f64 w0 (pow.f64 M #s(literal 4 binary64))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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(* (/ (* 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)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 d w0) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))) (/.f64 (*.f64 (*.f64 D M) (*.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 h l)))) d)) 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)
(/.f64 (fma.f64 (*.f64 l l) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 M (*.f64 D (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (/.f64 (*.f64 w0 (*.f64 d (*.f64 d d))) (*.f64 D (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M M))))))) (*.f64 (sqrt.f64 (/.f64 l (*.f64 h (*.f64 h h)))) #s(literal -1/8 binary64)))) (/.f64 (*.f64 (*.f64 D M) (*.f64 (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 h l)))) d)) 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)
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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 w0 (*.f64 M M)))) (*.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))))))
(fma.f64 D (*.f64 D (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 (*.f64 h h) (*.f64 w0 (pow.f64 M #s(literal 4 binary64))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64))))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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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 w0 (*.f64 M M)))) (*.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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(-.f64 w0 (/.f64 (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 h (*.f64 w0 (*.f64 M M))) (*.f64 d d)) #s(literal 1/8 binary64)) (/.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 6 binary64)) (*.f64 (*.f64 h (*.f64 h h)) (*.f64 (pow.f64 M #s(literal 6 binary64)) w0))) (*.f64 l (pow.f64 d #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) (*.f64 w0 (pow.f64 M #s(literal 4 binary64))))) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 l))) l))
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 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w0 (*.f64 (*.f64 D (*.f64 D M)) M)) (*.f64 d (*.f64 d l))) (/.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 h (*.f64 w0 (pow.f64 M #s(literal 4 binary64))))) (*.f64 l (*.f64 l (pow.f64 d #s(literal 4 binary64)))))) w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
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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)
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* 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 (+ (* -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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(* -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)
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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 h (*.f64 w0 (*.f64 M M)))) (*.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
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w0
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
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(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 w0 (*.f64 M M)))) (*.f64 d (*.f64 d l))) 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)
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* 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)
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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 w0 (*.f64 M M)))) (*.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
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
#s(literal 1 binary64)
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(+ 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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(* (/ (* D (* 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)))
(* 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)))

rewrite636.0ms (3.2%)

Memory
-76.9MiB live, 596.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 392×lower-/.f32
4 372×lower-/.f64
3 784×lower-*.f32
3 744×lower-*.f64
2 492×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063437
0107439
1359409
23068392
08459392
Stop Event
iter limit
node limit
iter limit
Counts
25 → 767
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.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))))
(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 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(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))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
(*.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))))
(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)))
(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))
(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) (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)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 M M) h)
(*.f64 (*.f64 d d) l)
(/.f64 (*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 D (neg.f64 M)) D) M)
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (*.f64 (log.f64 h) #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal -1 binary64) h)))
(/.f64 (*.f64 M D) (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))
(/.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 1 binary64) h) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))))
(/.f64 h (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))
(/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (*.f64 D (neg.f64 M)) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(/.f64 (*.f64 D (neg.f64 M)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)) (*.f64 M D))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))) #s(literal 1 binary64))))
(/.f64 (neg.f64 h) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))
(/.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) h) d))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))
(/.f64 (*.f64 (*.f64 D (neg.f64 M)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 d (/.f64 #s(literal 1 binary64) h)))
(/.f64 (neg.f64 (*.f64 D (neg.f64 M))) (neg.f64 (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))))
(/.f64 (neg.f64 (*.f64 D (neg.f64 M))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) d)))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (*.f64 D (neg.f64 M)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) h) d)
(/.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(/.f64 (neg.f64 (*.f64 (*.f64 D (neg.f64 M)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 d (/.f64 #s(literal 1 binary64) h))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) h)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 D (neg.f64 M)) h)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) h)) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h))) (*.f64 d #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))) #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 1 binary64) h) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))) #s(literal 1 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 (*.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 (*.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h))
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)))
(*.f64 h (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(*.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 d) h))
(*.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 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (neg.f64 h))
(*.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 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) (*.f64 D (neg.f64 M))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal -2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) l))
(/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (neg.f64 (neg.f64 (neg.f64 l))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) l))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal -2 binary64))))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 D (neg.f64 M)) (*.f64 l (*.f64 #s(literal 2 binary64) d)))
(/.f64 (*.f64 D (neg.f64 M)) (neg.f64 (*.f64 l (*.f64 d #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 M D))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)))
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 l #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 l (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 D (neg.f64 M)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) d) l))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) l))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)) l)
(/.f64 (neg.f64 (*.f64 D (neg.f64 M))) (neg.f64 (*.f64 l (*.f64 #s(literal 2 binary64) d))))
(/.f64 (neg.f64 (*.f64 D (neg.f64 M))) (neg.f64 (neg.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))))))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) d)) (neg.f64 (*.f64 l #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) l)) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))))
(/.f64 (*.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) l)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 D (neg.f64 M)) (/.f64 #s(literal 1 binary64) l)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 #s(literal 1 binary64) l)) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 M D) l) (*.f64 d #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (neg.f64 (*.f64 l (*.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 D (neg.f64 M)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) l)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) l)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) l))) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (*.f64 (*.f64 D (neg.f64 M)) (/.f64 #s(literal 1 binary64) l))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 #s(literal 1 binary64) l))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) l)) (*.f64 #s(literal 2 binary64) d))
(pow.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)) l) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 M D)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 M (*.f64 (/.f64 D (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) l)))
(*.f64 M (/.f64 D (*.f64 l (*.f64 d #s(literal -2 binary64)))))
(*.f64 M (/.f64 (/.f64 D (*.f64 d #s(literal -2 binary64))) l))
(*.f64 D (/.f64 M (*.f64 l (*.f64 d #s(literal -2 binary64)))))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 d #s(literal -2 binary64)))))
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal -1/2 binary64) d) l))
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(*.f64 (pow.f64 (/.f64 d (*.f64 D (neg.f64 M))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) (*.f64 M D)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (*.f64 D (*.f64 D (neg.f64 M)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) M) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 d d) M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 D (*.f64 D (neg.f64 M)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 D (*.f64 D (neg.f64 M)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) M) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 D (neg.f64 M))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 M D)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 D (neg.f64 M))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) (*.f64 M D)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (*.f64 M D) (*.f64 M D)))
(*.f64 M (*.f64 D (*.f64 D (neg.f64 M))))
(*.f64 D (*.f64 (*.f64 D (neg.f64 M)) M))
(*.f64 D (*.f64 (neg.f64 M) (*.f64 M D)))
(*.f64 (*.f64 M D) (*.f64 D (neg.f64 M)))
(*.f64 (neg.f64 M) (*.f64 D (*.f64 M D)))
(*.f64 (*.f64 D (neg.f64 M)) (*.f64 M D))
(*.f64 (*.f64 D (*.f64 D (neg.f64 M))) M)
(*.f64 (*.f64 M (*.f64 D (neg.f64 M))) D)
(*.f64 (*.f64 (*.f64 D (neg.f64 M)) 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 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))))))
(/.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))
(/.f64 (neg.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64)))) (neg.f64 (/.f64 d D)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M #s(literal 1/4 binary64))))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 d D)))
(/.f64 (neg.f64 (*.f64 (*.f64 M (*.f64 M #s(literal 1/4 binary64))) (neg.f64 D))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 M (*.f64 M #s(literal 1/4 binary64))))) (neg.f64 (/.f64 d D)))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 M (*.f64 M #s(literal 1/4 binary64))))) (neg.f64 (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 M M) (*.f64 #s(literal 1/4 binary64) (/.f64 D d)))
(*.f64 (/.f64 D d) (*.f64 M (*.f64 M #s(literal 1/4 binary64))))
(*.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))

eval275.0ms (1.4%)

Memory
34.5MiB live, 531.9MiB allocated
Compiler

Compiled 69 669 to 4 253 computations (93.9% saved)

prune696.0ms (3.5%)

Memory
-9.3MiB live, 1 151.1MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New2 034182 052
Fresh10111
Picked415
Done000
Total2 048202 068
Accuracy
90.8%
Counts
2 068 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
72.0%
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0)
61.1%
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
73.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #s(literal 1 binary64))))
73.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #s(literal 1 binary64))))
86.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
89.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
77.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64))))
75.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
79.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64))))
83.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l))) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
79.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64))))
78.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64))))
77.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
59.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
63.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
21.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l))))))
57.9%
(*.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))))
65.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
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 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
Compiler

Compiled 1 106 to 710 computations (35.8% saved)

simplify392.0ms (2%)

Memory
-14.6MiB live, 366.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
cost-diff128
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))))
cost-diff384
(fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
cost-diff384
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l)))
cost-diff0
(fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
cost-diff0
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d 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 (*.f64 d d) l)) w0)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.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-diff1088
(/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h))
cost-diff2944
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
Rules
8 478×lower-*.f32
8 428×lower-*.f64
2 568×lower-/.f32
2 546×lower-/.f64
1 528×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072771
0124720
1258712
2902694
35704694
47730694
08495694
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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h))
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(/.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
#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))
(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)
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d 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 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))
(fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))
(*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))))
D
(/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))
(*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))
h
(*.f64 #s(literal -1/4 binary64) (*.f64 M M))
#s(literal -1/4 binary64)
(*.f64 M M)
M
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))
(*.f64 D D)
D
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d)
(*.f64 #s(literal -1/4 binary64) (*.f64 M M))
#s(literal -1/4 binary64)
(*.f64 M M)
M
d
(/.f64 h (*.f64 d l))
h
(*.f64 d l)
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))
(/.f64 (*.f64 D (*.f64 M M)) d)
(*.f64 D (*.f64 M M))
D
(*.f64 M M)
M
d
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))))
#s(literal 1/4 binary64)
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))
(*.f64 D h)
h
(*.f64 d (neg.f64 l))
(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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.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 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.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 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l))) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) (*.f64 d l)))
(/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))
(*.f64 M (/.f64 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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(sqrt.f64 (/.f64 (*.f64 M D) (*.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
#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 (*.f64 w0 (*.f64 M (*.f64 M h))) (*.f64 d (*.f64 d l))) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0))
(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)
(fma.f64 (/.f64 (*.f64 w0 (*.f64 M (*.f64 M h))) (*.f64 d (*.f64 d l))) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) w0)
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 M (*.f64 M h)))) (*.f64 d (*.f64 d l)))
(*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0))))
(*.f64 #s(literal -1/8 binary64) (*.f64 w0 (*.f64 M (*.f64 M h))))
#s(literal -1/8 binary64)
(*.f64 h (*.f64 M (*.f64 M w0)))
(*.f64 w0 (*.f64 M (*.f64 M h)))
h
(*.f64 M (*.f64 M w0))
(*.f64 w0 (*.f64 M M))
M
(*.f64 M w0)
(*.f64 w0 M)
w0
(*.f64 (*.f64 d d) l)
(*.f64 d (*.f64 d l))
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 D (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64))))) (*.f64 d (*.f64 d l)))
D
(/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l)))
(*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))
(*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64))))
h
(*.f64 #s(literal -1/4 binary64) (*.f64 M M))
(*.f64 M (*.f64 M #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 M M)
M
(*.f64 d (*.f64 d l))
d
(*.f64 d l)
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(*.f64 D D)
D
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l)))
(/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d)
(/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) d)
(*.f64 #s(literal -1/4 binary64) (*.f64 M M))
(*.f64 M (*.f64 M #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 M M)
M
d
(/.f64 h (*.f64 d l))
h
(*.f64 d l)
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M (*.f64 h #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(/.f64 (*.f64 D (*.f64 M M)) d)
(/.f64 (*.f64 M (*.f64 M D)) d)
(*.f64 D (*.f64 M M))
(*.f64 M (*.f64 M D))
D
(*.f64 M M)
M
d
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D h)) (*.f64 d l))
#s(literal 1/4 binary64)
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))
(neg.f64 (*.f64 h (/.f64 D (*.f64 d l))))
(*.f64 D h)
h
(*.f64 d (neg.f64 l))
(neg.f64 l)
l
#s(literal 1 binary64)

localize392.0ms (2%)

Memory
4.6MiB live, 319.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy90.8%
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))
accuracy90.7%
(/.f64 (*.f64 D (*.f64 M M)) d)
accuracy88.7%
(*.f64 D (*.f64 M M))
accuracy86.4%
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))
accuracy91.9%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d)
accuracy90.8%
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))
accuracy90.4%
(/.f64 h (*.f64 d l))
accuracy79.0%
(fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))
accuracy93.3%
(*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))))
accuracy90.8%
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))
accuracy88.5%
(*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))
accuracy83.0%
(/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))
accuracy89.5%
(*.f64 (*.f64 d d) l)
accuracy82.2%
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l))
accuracy80.0%
#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))
accuracy78.9%
(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)
accuracy92.2%
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
accuracy91.4%
(/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h))
accuracy90.8%
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
accuracy75.3%
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
Samples
223.0ms256×0valid
Compiler

Compiled 647 to 69 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-mult: 48.0ms (38.8% of total)
ival-add: 40.0ms (32.3% of total)
ival-div: 24.0ms (19.4% of total)
ival-sqrt: 6.0ms (4.9% of total)
ival-pow2: 2.0ms (1.6% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series320.0ms (1.6%)

Memory
-4.2MiB live, 279.2MiB allocated
Counts
32 → 1 632
Calls
Call 1
Inputs
#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #<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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.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 #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)) (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 (*.f64 d 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 (*.f64 d d) l)) w0) (patch (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) #<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 (*.f64 d d) l)) (patch (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)) (patch (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) (patch (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) (patch (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (patch (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.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 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (patch (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) #<representation binary64>) () ())
#s(alt (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) (patch (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 h (*.f64 d l)) (patch (/.f64 h (*.f64 d l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (patch (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) #<representation binary64>) () ())
#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 D (*.f64 M M)) (patch (*.f64 D (*.f64 M M)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D (*.f64 M M)) d) (patch (/.f64 (*.f64 D (*.f64 M M)) d) #<representation binary64>) () ())
Outputs
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf M) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d)) (taylor -inf D) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (pow (sqrt 1/2) 2))) d) (taylor 0 d) (#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* D (pow M 2)) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 D (*.f64 M M)) d) (patch (/.f64 (*.f64 D (*.f64 M M)) d) #<representation binary64>) () ())) ())
Calls

408 calls:

TimeVariablePointExpression
14.0ms
h
@-inf
(/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))
11.0ms
D
@inf
(/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))
10.0ms
M
@-inf
(* w0 (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)))
3.0ms
D
@inf
(* w0 (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)))
2.0ms
w0
@0
(* w0 (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)))

simplify798.0ms (4%)

Memory
14.1MiB live, 877.7MiB allocated
Algorithm
egg-herbie
Rules
7 864×lower-*.f64
7 864×lower-*.f32
7 138×lower-fma.f64
7 138×lower-fma.f32
5 722×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128938925
1454438089
0887937023
Stop Event
iter limit
node limit
Counts
1 632 → 1 590
Calls
Call 1
Inputs
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
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w0
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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)
w0
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w0
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ 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))))
(* -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))))
(+ 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 (* 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)))))))
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w0
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w0
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(* -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))))))))
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(/ (+ (* 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))))
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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 (* 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 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))))))))
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))))))))
(* (/ (* 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 (* 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))))) (* (/ (* 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 (* (/ 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)))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2))))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (* D M) d)) (* (sqrt -1) (sqrt -1/2)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) (pow (sqrt 1/2) 4))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l))))
(+ 1 (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt -1/2) 4)))) (* (pow d 4) (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l)))))
(+ 1 (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt -1/2) 4)))) (* (pow d 4) (pow l 2)))) (+ (* 1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (pow (sqrt -1/2) 6)))) (* (pow d 6) (pow l 3)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l))))))
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4)))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (pow d 2)))) l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow (sqrt 1/2) 4))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* (/ (* D (* M (* (sqrt -1) (pow (sqrt 1/2) 2)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (pow (sqrt 1/2) 2)))) d) (sqrt (/ 1 (* h l)))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 6)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (pow (sqrt 1/2) 2)))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 6)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 10)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (pow (sqrt 1/2) 2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (pow (sqrt 1/2) 2)))) d) (sqrt (/ 1 (* h l)))))))))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -1/4 (* (pow M 2) h))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
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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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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
(+ 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
(+ 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))))
(* -1/4 (/ (* (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
(+ 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))))
(* -1/4 (/ (* (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))))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -1/4 (/ (pow M 2) d))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* 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))
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
(/ (* D (pow M 2)) d)
Outputs
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d))
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d))
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d))
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d))
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d))
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d))
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d))
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d))
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/ (* D (* M (pow (sqrt 1/2) 2))) d)
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d))
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d))
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d))
(* -1 (/ (* D (* M (pow (sqrt -1/2) 2))) d))
(neg.f64 (/.f64 (*.f64 D (*.f64 M #s(literal -1/2 binary64))) d))
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/2 binary64) h)) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/2 binary64) h)) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/2 binary64) h)) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/2 binary64) h)) (neg.f64 d))
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/2 binary64) h)) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/2 binary64) h)) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/2 binary64) h)) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/2 binary64) h)) (neg.f64 d))
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/2 binary64) h)) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/2 binary64) h)) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/2 binary64) h)) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/2 binary64) h)) (neg.f64 d))
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 #s(literal 1/2 binary64) h))) d)
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(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))
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(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ h l)))) d)
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(/ (+ (* (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
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(/.f64 (*.f64 D (*.f64 (*.f64 (*.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l)))) d)
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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))))) (+ (* 1/2 (* (/ (* 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))))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))) w0)
(+ 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)))))))
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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 D (*.f64 (*.f64 (*.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l)))) 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 (*.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 M (*.f64 M M))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))))) (fma.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) d) (/.f64 (*.f64 (*.f64 (*.f64 d w0) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64)) (*.f64 (*.f64 D D) (*.f64 M (sqrt.f64 #s(literal -1/4 binary64))))))))
(* 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))))
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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 D (*.f64 (*.f64 (*.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l)))) 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 D (*.f64 (*.f64 (*.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l))) (/.f64 (*.f64 (*.f64 (*.f64 w0 (*.f64 d d)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64)) (*.f64 (*.f64 D M) (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))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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w0
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w0
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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 (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (*.f64 D (*.f64 (*.f64 (*.f64 M w0) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 h l)))) d)
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w0
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(/.f64 (*.f64 D (*.f64 M M)) d)
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rewrite304.0ms (1.5%)

Memory
30.0MiB live, 540.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 780×lower-*.f32
4 730×lower-*.f64
3 172×lower-/.f32
3 150×lower-/.f64
3 110×lower-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072604
0124564
1432548
23419548
08212548
Stop Event
iter limit
node limit
iter limit
Counts
32 → 1 015
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h))
(/.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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
(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)
(*.f64 D D)
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))
(fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(*.f64 (*.f64 d d) l)
(/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))
(*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M)))
(*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))))
(fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64))
(/.f64 h (*.f64 d l))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d)
(/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))
(*.f64 D (*.f64 M M))
(/.f64 (*.f64 D (*.f64 M M)) d)
Outputs
(exp.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))) #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 1/2 binary64)))
(fabs.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(fabs.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))))
(fabs.f64 (-.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))
(neg.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))
(/.f64 (*.f64 M D) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) d)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))))
(/.f64 (*.f64 M (neg.f64 D)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 M (neg.f64 D)) (*.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) d)
(/.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) d))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (sqrt.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) d)))
(/.f64 (neg.f64 (*.f64 M (neg.f64 D))) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (*.f64 M (/.f64 D d))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (neg.f64 d))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 M D))) (sqrt.f64 (*.f64 #s(literal 2 binary64) d)))
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d)
(/.f64 (exp.f64 (log.f64 (*.f64 M D))) (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) d))))
(/.f64 (exp.f64 (log.f64 (*.f64 M (neg.f64 D)))) (exp.f64 (log.f64 (*.f64 d #s(literal -2 binary64)))))
(/.f64 (exp.f64 (log.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (exp.f64 (log.f64 d)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 M D) (*.f64 M (neg.f64 D)))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 d #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) d)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 M D))) (sqrt.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) (*.f64 #s(literal 2 binary64) d))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 M (neg.f64 D)))) (sqrt.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) (*.f64 d #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) d)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 M (neg.f64 D)) (*.f64 M D))) (sqrt.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) d))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 M (neg.f64 D)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 M (neg.f64 D)) (*.f64 M (neg.f64 D)))) (sqrt.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 d #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 M (neg.f64 D)) (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) d)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (*.f64 M D))) (sqrt.f64 (*.f64 d (*.f64 #s(literal 2 binary64) d))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 d (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (*.f64 M (neg.f64 D)))) (sqrt.f64 (*.f64 d (*.f64 d #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 d d)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 M (neg.f64 D)) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (sqrt.f64 (*.f64 d #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 M (neg.f64 D)))) (sqrt.f64 (*.f64 d #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (sqrt.f64 d))
(/.f64 (sqrt.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (sqrt.f64 d))
(/.f64 (fabs.f64 (*.f64 M D)) (fabs.f64 (*.f64 #s(literal 2 binary64) d)))
(/.f64 (fabs.f64 (*.f64 M D)) (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) d))))
(/.f64 (fabs.f64 (*.f64 M D)) (fabs.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))))
(/.f64 (fabs.f64 (*.f64 M (neg.f64 D))) (fabs.f64 (*.f64 d #s(literal -2 binary64))))
(/.f64 (fabs.f64 (*.f64 M (neg.f64 D))) (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64)))))
(/.f64 (fabs.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (fabs.f64 d))
(/.f64 (fabs.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) (fabs.f64 (*.f64 #s(literal 1 binary64) d)))
(/.f64 (fabs.f64 (*.f64 M (/.f64 D d))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (fabs.f64 (*.f64 #s(literal 2 binary64) d)))
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))) (fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) d))))
(/.f64 (fabs.f64 (neg.f64 (*.f64 M (neg.f64 D)))) (fabs.f64 (*.f64 #s(literal 2 binary64) d)))
(/.f64 (fabs.f64 (neg.f64 (*.f64 M (/.f64 D d)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (neg.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))))) (fabs.f64 (neg.f64 d)))
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 M D)))) (fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) d))))
(/.f64 (fabs.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (fabs.f64 d))
(pow.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 2 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 d (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1/2 binary64)))
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(*.f64 M (neg.f64 (/.f64 D (*.f64 d #s(literal -2 binary64)))))
(*.f64 M (/.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(*.f64 M (pow.f64 (neg.f64 (/.f64 D (*.f64 d #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 M (pow.f64 (/.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d)))
(*.f64 D (pow.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64)))
(*.f64 D (pow.f64 (/.f64 M (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (*.f64 M D) (neg.f64 (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)))
(*.f64 (*.f64 M D) (pow.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) d)) #s(literal 1 binary64)))
(*.f64 (*.f64 M D) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 M D) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) d)) #s(literal 2 binary64)))
(*.f64 (*.f64 M D) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 M D) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1/2 binary64) d))))
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))
(*.f64 (sqrt.f64 (*.f64 M D)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 M D)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))))
(*.f64 (*.f64 M (neg.f64 D)) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 (/.f64 D d) (*.f64 M #s(literal 1/2 binary64)))
(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))
(*.f64 (/.f64 M d) (neg.f64 (*.f64 D #s(literal -1/2 binary64))))
(*.f64 (/.f64 M d) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 D d))
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(*.f64 (*.f64 M #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 D d) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(*.f64 (/.f64 (*.f64 M M) d) D)

eval509.0ms (2.5%)

Memory
29.9MiB live, 602.3MiB allocated
Compiler

Compiled 89 366 to 6 601 computations (92.6% saved)

prune1.2s (6.1%)

Memory
-55.4MiB live, 1 366.7MiB allocated
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New2 745182 763
Fresh7714
Picked415
Done011
Total2 756272 783
Accuracy
90.8%
Counts
2 783 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
72.0%
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0)
72.1%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
86.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
89.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
77.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64))))
83.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l))) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
81.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
73.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64)))))
77.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
78.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
80.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))
80.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64)))))
64.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
21.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l))))))
17.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
57.9%
(*.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))))
65.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
54.7%
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
59.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
72.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))) D w0))
55.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) 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 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
57.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0))
55.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
32.6%
#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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d))))
14.3%
#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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))))
Compiler

Compiled 1 469 to 922 computations (37.2% saved)

simplify195.0ms (1%)

Memory
33.9MiB live, 306.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
cost-diff384
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l))
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))))
cost-diff0
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
cost-diff128
(/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))
cost-diff0
(*.f64 D D)
cost-diff0
(/.f64 (*.f64 D D) d)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
cost-diff384
(fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)
cost-diff0
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))
cost-diff0
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))
cost-diff0
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
cost-diff384
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
cost-diff384
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
cost-diff2944
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
Rules
7 534×lower-*.f32
7 474×lower-*.f64
3 360×lower-/.f32
3 342×lower-/.f64
2 372×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083775
0133776
1298773
21179714
33804714
45120714
08159711
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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h)
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
h
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0)))
(*.f64 D D)
D
(*.f64 (*.f64 M M) (*.f64 h w0))
(*.f64 M M)
M
(*.f64 h w0)
h
w0
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)
(/.f64 (*.f64 D D) d)
(*.f64 D D)
D
d
(/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l))
(*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64)))
h
(*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))
(*.f64 w0 (*.f64 M M))
w0
(*.f64 M M)
M
#s(literal -1/8 binary64)
(*.f64 d l)
l
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))
(*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h))
(*.f64 M (*.f64 M D))
M
(*.f64 M D)
D
(*.f64 (*.f64 #s(literal 1/4 binary64) D) h)
(*.f64 #s(literal 1/4 binary64) D)
#s(literal 1/4 binary64)
h
(*.f64 d (*.f64 d (neg.f64 l)))
d
(*.f64 d (neg.f64 l))
(neg.f64 l)
l
w0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l))
(*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D)
(*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d))
(*.f64 M (*.f64 M #s(literal -1/4 binary64)))
M
(*.f64 M #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(/.f64 h d)
h
d
D
(*.f64 d 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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 d l)) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) (*.f64 d 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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h)
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) h)
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(sqrt.f64 (/.f64 (*.f64 M D) (*.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)
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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 (*.f64 M (*.f64 w0 (*.f64 M h))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) (*.f64 d (*.f64 d l)))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) (*.f64 d (*.f64 d l))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))
(/.f64 (*.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) (*.f64 d (*.f64 d l)))
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (/.f64 (*.f64 D D) (*.f64 d (*.f64 d l))))
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0)))
(*.f64 D (*.f64 D (*.f64 M (*.f64 w0 (*.f64 M h)))))
(*.f64 D D)
D
(*.f64 (*.f64 M M) (*.f64 h w0))
(*.f64 M (*.f64 w0 (*.f64 M h)))
(*.f64 M M)
M
(*.f64 h w0)
(*.f64 w0 h)
h
w0
(*.f64 l (*.f64 d d))
(*.f64 d (*.f64 d l))
l
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (*.f64 d (*.f64 d l))) (*.f64 D #s(literal -1/8 binary64))) w0))
(fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)
(fma.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (*.f64 d (*.f64 d l))) (*.f64 D #s(literal -1/8 binary64))) w0)
(/.f64 (*.f64 D D) d)
(*.f64 D D)
D
d
(/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l))
(*.f64 (*.f64 M (*.f64 w0 (*.f64 M h))) (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))
(*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64)))
(*.f64 w0 (*.f64 h (*.f64 M (*.f64 M #s(literal -1/8 binary64)))))
h
(*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))
(*.f64 M (*.f64 #s(literal -1/8 binary64) (*.f64 w0 M)))
(*.f64 w0 (*.f64 M M))
w0
(*.f64 M M)
M
#s(literal -1/8 binary64)
(*.f64 d l)
l
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))))
(sqrt.f64 (fma.f64 (*.f64 D (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))
(fma.f64 (*.f64 D (*.f64 M M)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))
(/.f64 (*.f64 h (*.f64 D (*.f64 (*.f64 D (*.f64 M M)) #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h))
(*.f64 h (*.f64 D (*.f64 (*.f64 D (*.f64 M M)) #s(literal 1/4 binary64))))
(*.f64 M (*.f64 M D))
(*.f64 D (*.f64 M M))
M
(*.f64 M D)
D
(*.f64 (*.f64 #s(literal 1/4 binary64) D) h)
(*.f64 D (*.f64 h #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) D)
(*.f64 D #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
h
(*.f64 d (*.f64 d (neg.f64 l)))
(*.f64 d (*.f64 l (neg.f64 d)))
d
(*.f64 d (neg.f64 l))
(*.f64 l (neg.f64 d))
(neg.f64 l)
l
w0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))
(fma.f64 D (/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l))
(/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64)))) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D)
(/.f64 (*.f64 D (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64)))) d)
(*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d))
(/.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/4 binary64))) d)
(*.f64 M (*.f64 M #s(literal -1/4 binary64)))
(*.f64 (*.f64 M M) #s(literal -1/4 binary64))
M
(*.f64 M #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(/.f64 h d)
h
d
D
(*.f64 d l)
l
#s(literal 1 binary64)

localize247.0ms (1.2%)

Memory
4.7MiB live, 320.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy90.8%
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))
accuracy89.5%
(*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D)
accuracy89.2%
(*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d))
accuracy89.1%
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l))
accuracy96.2%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
accuracy90.8%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))))
accuracy89.5%
(*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h))
accuracy78.3%
(/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))
accuracy89.2%
(/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l))
accuracy87.3%
(/.f64 (*.f64 D D) d)
accuracy86.2%
(fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)
accuracy80.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
accuracy81.5%
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))
accuracy80.0%
#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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))))
accuracy75.9%
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0)))
accuracy38.7%
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))
accuracy93.5%
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy92.2%
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l)
accuracy90.8%
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
accuracy75.3%
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
Samples
145.0ms256×0valid
Compiler

Compiled 642 to 77 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 66.0ms (61.1% of total)
ival-div: 17.0ms (15.7% of total)
ival-sqrt: 14.0ms (13% of total)
ival-add: 5.0ms (4.6% of total)
ival-pow2: 2.0ms (1.9% of total)
ival-sub: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series151.0ms (0.8%)

Memory
11.3MiB live, 241.9MiB allocated
Counts
28 → 1 560
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))) (patch #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))) (patch (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0) (patch (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D D) d) (patch (/.f64 (*.f64 D D) d) #<representation binary64>) () ())
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))) (patch (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) (patch (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) (patch (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (patch (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #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 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (patch (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) (patch (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (patch (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) (patch (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())
Outputs
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf M) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor 0 d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d) (taylor inf d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 M) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 M) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 M) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 M) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf M) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf M) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf M) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf M) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf M) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf M) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf M) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf M) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 h) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 h) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 h) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 h) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf h) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf h) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf h) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf h) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf h) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf h) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf h) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf h) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 d) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 d) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 d) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 d) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf d) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf d) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf d) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf d) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor 0 D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) d)) (taylor -inf D) (#s(alt (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (patch (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) #<representation binary64>) () ())) ())
Calls

390 calls:

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

simplify500.0ms (2.5%)

Memory
14.1MiB live, 674.3MiB allocated
Algorithm
egg-herbie
Rules
7 988×lower-*.f64
7 988×lower-*.f32
7 204×lower-fma.f64
7 204×lower-fma.f32
5 804×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131438267
1463437520
0901436563
Stop Event
iter limit
node limit
Counts
1 560 → 1 511
Calls
Call 1
Inputs
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
1
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l)))
(* (pow M 2) (+ (* 1/2 (/ (* (pow D 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* 1/2 (/ (* (pow D 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* 1/2 (/ (* (pow D 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2))))
1
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
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w0
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(/ (+ (* (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h))))))) d)
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w0
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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)
w0
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w0
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
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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)))))
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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)))))))
(* -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))))))))
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)))
(* 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))))))
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(* -1 (* (/ (* D (* M (* 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)))
(* 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 (* (/ (* (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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(* (/ (* 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)
(/ (+ (* (/ (* 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 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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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))))
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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))))
(* -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
(+ 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)))))))
(* 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)))))))
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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 (* (/ (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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(* (/ (* 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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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)))
(* 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))))
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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))))))))
(* -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))))) (* (/ (* 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)))))))
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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))))))))
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))))) (+ (* 1/2 (* (/ 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)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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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 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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(* (/ (* 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))))))))
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(* (/ (* 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 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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1
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1
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(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
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1
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1
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(/ (- 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
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(+ 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))))
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(* (sqrt (/ (* D M) d)) (sqrt 1/2))
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(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
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(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
(* (sqrt (/ (* D M) d)) (sqrt 1/2))
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1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
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(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) (pow (sqrt 1/2) 4))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* (sqrt -1/2) (sqrt 1/2))) d) (sqrt (/ h l))))))))
1
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(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) (pow (sqrt 1/2) 4))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) (pow (sqrt 1/2) 6)))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))
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1
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1
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(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(* -1/4 (/ (* D (* (pow M 2) h)) d))
Outputs
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d))
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d))
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d))
(* -1 (/ (* D (* M (* h (pow (sqrt -1/2) 2)))) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal -1/2 binary64)))) (neg.f64 d))
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
(/ (* D (* M (* h (pow (sqrt 1/2) 2)))) d)
(/.f64 (*.f64 D (*.f64 M (*.f64 h #s(literal 1/2 binary64)))) d)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 h (*.f64 D D)) #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 h (*.f64 D D)) #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 h (*.f64 D D)) #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)))
(* (pow M 2) (+ (* 1/2 (/ (* (pow D 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 M M) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* 1/2 (/ (* (pow D 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 M M) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* 1/2 (/ (* (pow D 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 M M) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 D D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 D D) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 D D) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) (* h (pow (sqrt 1/2) 2))) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 D D) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)))
(* (pow D 2) (+ (* 1/2 (/ (* (pow M 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* 1/2 (/ (* (pow M 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* 1/2 (/ (* (pow M 2) (* h (pow (sqrt -1/2) 2))) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)))
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) l)) (pow d 2)) (pow d 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) l) (*.f64 d d)) (*.f64 d d))
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) l)) (pow d 2)) (pow d 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) l) (*.f64 d d)) (*.f64 d d))
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) l)) (pow d 2)) (pow d 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) l) (*.f64 d d)) (*.f64 d d))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/2 binary64))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)))
(/ (+ l (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (pow d 2)))) l)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 d d)) l) l)
(/ (+ l (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (pow d 2)))) l)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 d d)) l) l)
(/ (+ l (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (pow d 2)))) l)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 d d)) l) l)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) (* h (pow (sqrt 1/2) 2)))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* D (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))))
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(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2))))) (* (pow d 2) l))))
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(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h (* w0 (pow (sqrt 1/2) 2)))) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) (* w0 (pow (sqrt 1/2) 4)))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) (* w0 (pow (sqrt 1/2) 6))))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (* (sqrt -1/2) (sqrt 1/2))))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (* (pow (sqrt -1/2) 3) (pow (sqrt 1/2) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (* (pow (sqrt -1/2) 5) (pow (sqrt 1/2) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (* (sqrt -1/2) (sqrt 1/2))))) (sqrt (/ l h)))) (* (/ (* M (* w0 (* (sqrt -1/2) (sqrt 1/2)))) d) (sqrt (/ h l))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.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))))) (+ (* 1/16 (* (/ (* (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))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 D M) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) 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)))
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(/ (+ (* 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 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 d d) w0) (sqrt.f64 (/.f64 l h))) (*.f64 (*.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) 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
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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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(* 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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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (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 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -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))))))
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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))))) (+ (* 1/2 (* (/ (* 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
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) 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 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.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))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 D M) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) 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))))) (+ (* 1/16 (* (/ (* (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)))
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(/ (+ (* 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) w0)) (*.f64 (*.f64 d d) l)) w0)
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.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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w0
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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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(* 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)))
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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))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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w0
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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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w0
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w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) w0)) (*.f64 (*.f64 d d) l)) w0)
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 D M) (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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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 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.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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(/ (+ (* (/ (* 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) 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
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1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d)
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d)
(* -1/4 (/ (* D (* (pow M 2) h)) d))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D (*.f64 h (*.f64 M M)))) d)

rewrite421.0ms (2.1%)

Memory
24.2MiB live, 529.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 424×lower-*.f32
8 364×lower-*.f64
4 612×lower-/.f32
4 594×lower-/.f64
4 164×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083599
0133597
1464528
23518528
011268521
Stop Event
iter limit
node limit
iter limit
Counts
28 → 838
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d)))
(fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(/.f64 (*.f64 D D) d)
(*.f64 D D)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))
(/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l))))))
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0)))
(/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l))
(*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h))
(*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d))
(*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D)
Outputs
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (*.f64 M D))) (sqrt.f64 (*.f64 #s(literal 2 binary64) d)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 M D)) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h)) (sqrt.f64 (*.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h))
(*.f64 h (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))))
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) l) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 (/.f64 h l) (neg.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (/.f64 h l) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 h l)) (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) h) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) (*.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d))))) (*.f64 l l)) (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64)))))))
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eval336.0ms (1.7%)

Memory
9.1MiB live, 494.1MiB allocated
Compiler

Compiled 82 362 to 5 368 computations (93.5% saved)

prune1.1s (5.4%)

Memory
-76.5MiB live, 1 088.4MiB allocated
Pruning

38 alts after pruning (33 fresh and 5 done)

PrunedKeptTotal
New2 548222 570
Fresh91120
Picked235
Done022
Total2 559382 597
Accuracy
90.8%
Counts
2 597 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.7%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
66.7%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0)
73.2%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
72.0%
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #s(literal 1 binary64))) w0)
54.7%
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
86.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
88.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64))))
83.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l))) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
82.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))
81.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
73.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64)))))
77.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
78.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
80.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64)))))
64.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
21.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l))))))
17.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
65.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
59.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
59.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
68.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 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 h (*.f64 M (*.f64 M w0)))) (*.f64 (*.f64 d d) l)) w0))
57.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.f64 d (*.f64 d l)))) w0))
59.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 D D))) #s(literal -1 binary64))) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
15.2%
#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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
18.0%
#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 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d))))
16.3%
#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 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h l)))))
16.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
16.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
16.4%
#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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.f64 l (*.f64 d d))))))
17.2%
#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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d))))))
14.3%
#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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))))
14.3%
#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 #s(literal -1/8 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))))
17.1%
#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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
16.3%
#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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.f64 d d))))))
16.4%
#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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d d))))))
16.8%
#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 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
17.1%
#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 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
Compiler

Compiled 2 695 to 1 088 computations (59.6% saved)

regimes389.0ms (1.9%)

Memory
18.3MiB live, 490.1MiB allocated
Counts
75 → 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 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
#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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #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 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
(*.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))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #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 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) 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 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #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 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) 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 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal -1/2 binary64)) (/.f64 #s(literal 1 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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) (sqrt.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.f64 l (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) (/.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 (exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 D D))) #s(literal -1 binary64))) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
Calls

15 calls:

49.0ms
w0
47.0ms
(*.f64 M D)
28.0ms
M
25.0ms
d
24.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
89.2%1w0
89.2%1M
89.2%1D
89.2%1h
89.2%1l
89.2%1d
89.2%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)))))
89.2%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))))
89.2%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)))
89.2%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
89.2%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
89.2%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
89.2%1(*.f64 M D)
89.2%1(*.f64 #s(literal 2 binary64) d)
89.2%1(/.f64 h l)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes460.0ms (2.3%)

Memory
-12.8MiB live, 560.1MiB allocated
Counts
69 → 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 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
#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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #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 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
(*.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))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #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 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) 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 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #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 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) 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 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l))) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #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))))
Calls

15 calls:

167.0ms
l
33.0ms
(*.f64 M D)
27.0ms
h
22.0ms
w0
21.0ms
M
Results
AccuracySegmentsBranch
89.2%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)))))
89.2%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))))
89.2%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)))
89.2%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
89.2%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
89.2%1D
89.2%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
89.2%1w0
89.2%1h
89.2%1l
89.2%1d
89.2%1(*.f64 M D)
89.2%1(*.f64 #s(literal 2 binary64) d)
89.2%1M
89.2%1(/.f64 h l)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes306.0ms (1.5%)

Memory
-1.1MiB live, 399.9MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
#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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #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 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
(*.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))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #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 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) 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 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #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 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64))))
Calls

15 calls:

33.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
26.0ms
(*.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)))))
23.0ms
w0
21.0ms
D
20.0ms
(/.f64 h l)
Results
AccuracySegmentsBranch
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 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
88.8%1D
88.8%1w0
88.8%1h
88.8%1l
88.8%1d
88.8%1(*.f64 M D)
88.8%1(*.f64 #s(literal 2 binary64) d)
88.8%1(/.f64 h l)
88.8%1M
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes344.0ms (1.7%)

Memory
-10.3MiB live, 462.5MiB allocated
Counts
66 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
#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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #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 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
(*.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))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #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 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) 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 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) #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))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
Calls

15 calls:

41.0ms
l
33.0ms
d
29.0ms
(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))))
25.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
24.0ms
(*.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
89.6%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
89.6%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))))
89.6%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)))
88.9%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
88.9%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
89.6%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.6%1w0
89.2%2M
89.2%2D
86.6%1h
88.8%2l
86.6%1d
89.5%2(*.f64 M D)
86.6%1(*.f64 #s(literal 2 binary64) d)
89.9%3(/.f64 h l)
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes270.0ms (1.3%)

Memory
49.3MiB live, 474.1MiB allocated
Counts
63 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
#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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #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 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
(*.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))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #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 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64))))
Calls

15 calls:

20.0ms
D
19.0ms
h
19.0ms
d
19.0ms
(*.f64 #s(literal 2 binary64) d)
19.0ms
(/.f64 h l)
Results
AccuracySegmentsBranch
84.5%2w0
88.4%3d
88.4%3(*.f64 #s(literal 2 binary64) d)
84.4%2h
86.7%3(/.f64 h l)
84.9%2l
82.7%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
82.7%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
85.9%3M
84.2%2D
88.5%3(*.f64 M D)
84.6%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
85.1%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
85.1%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
85.9%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes62.0ms (0.3%)

Memory
-17.2MiB live, 97.3MiB allocated
Counts
61 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
#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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #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 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
(*.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))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #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 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))
Calls

3 calls:

19.0ms
d
19.0ms
(*.f64 #s(literal 2 binary64) d)
16.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
88.4%3d
88.4%3(*.f64 #s(literal 2 binary64) d)
87.3%3(*.f64 M D)
Compiler

Compiled 25 to 21 computations (16% saved)

regimes48.0ms (0.2%)

Memory
17.8MiB live, 54.5MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
#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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #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 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
(*.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))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #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 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))
Calls

2 calls:

28.0ms
(*.f64 #s(literal 2 binary64) d)
17.0ms
d
Results
AccuracySegmentsBranch
88.1%3d
88.1%3(*.f64 #s(literal 2 binary64) d)
Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes81.0ms (0.4%)

Memory
-33.0MiB live, 90.2MiB allocated
Counts
57 → 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 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
#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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #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 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
(*.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))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M M)) d) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D h) (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (neg.f64 M)) (*.f64 D (/.f64 M (*.f64 d (*.f64 d #s(literal 4 binary64)))))) l) h #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (neg.f64 l)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) h #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 (sqrt.f64 (fma.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 D #s(literal 1/4 binary64)))) (neg.f64 l)) #s(literal 1 binary64))) w0)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

3 calls:

44.0ms
(*.f64 #s(literal 2 binary64) d)
18.0ms
d
14.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
85.9%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
87.3%3d
87.3%3(*.f64 #s(literal 2 binary64) d)
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes69.0ms (0.3%)

Memory
23.4MiB live, 137.4MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
#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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal -4 binary64))) l) h #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 (/.f64 h l) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))))
(*.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))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))
Calls

4 calls:

23.0ms
d
16.0ms
(*.f64 #s(literal 2 binary64) d)
15.0ms
(*.f64 M D)
12.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
87.1%3(*.f64 M D)
82.7%1d
82.7%1(*.f64 #s(literal 2 binary64) d)
86.6%3(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 44 to 34 computations (22.7% saved)

regimes71.0ms (0.4%)

Memory
19.0MiB live, 174.5MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
#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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) D #s(literal 1 binary64)))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))
Calls

5 calls:

16.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
13.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
13.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
13.0ms
(*.f64 M D)
12.0ms
(/.f64 h l)
Results
AccuracySegmentsBranch
83.9%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
82.3%2(/.f64 h l)
83.9%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
83.9%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
86.5%3(*.f64 M D)
Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes16.0ms (0.1%)

Memory
0.1MiB live, 38.6MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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)
#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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) l) (*.f64 w0 (*.f64 d d))) (*.f64 d d))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M #s(literal -1/4 binary64)) (/.f64 M d)) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 d l))) #s(literal 1 binary64)))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
Calls

1 calls:

14.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
86.5%3(*.f64 M D)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes47.0ms (0.2%)

Memory
-24.4MiB live, 97.6MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D #s(literal 1/4 binary64))) (*.f64 d (*.f64 d (neg.f64 l)))) (*.f64 M (*.f64 M D)) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) h)) (*.f64 d (*.f64 d (neg.f64 l)))))) 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 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
Calls

3 calls:

18.0ms
l
13.0ms
(*.f64 M D)
11.0ms
(*.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
80.9%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
78.5%1l
86.2%3(*.f64 M D)
Compiler

Compiled 40 to 30 computations (25% saved)

regimes201.0ms (1%)

Memory
16.2MiB live, 265.1MiB allocated
Counts
35 → 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 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) w0)
(*.f64 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) #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 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) l)) d) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (*.f64 (/.f64 (*.f64 h #s(literal -1/8 binary64)) l) (/.f64 (*.f64 M (*.f64 M w0)) d)) w0))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
Calls

12 calls:

68.0ms
D
23.0ms
h
13.0ms
d
13.0ms
w0
12.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
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)))
83.4%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
80.8%2d
80.8%2(*.f64 #s(literal 2 binary64) d)
81.4%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
81.4%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
82.5%2D
82.2%2M
78.5%1h
78.5%1w0
83.6%2(*.f64 M D)
Compiler

Compiled 143 to 110 computations (23.1% saved)

regimes159.0ms (0.8%)

Memory
-6.6MiB live, 73.1MiB 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 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D 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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M h) M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 M M))) (*.f64 d (*.f64 d l)))) D #s(literal 1 binary64)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

5 calls:

120.0ms
(*.f64 M D)
14.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
9.0ms
D
8.0ms
(*.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
81.0%2D
81.9%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
81.9%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
82.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
82.1%2(*.f64 M D)
Compiler

Compiled 78 to 57 computations (26.9% saved)

regimes129.0ms (0.6%)

Memory
-19.3MiB live, 261.0MiB allocated
Counts
24 → 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 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 l (*.f64 d d))))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

15 calls:

10.0ms
D
10.0ms
l
10.0ms
(*.f64 #s(literal 2 binary64) d)
10.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
9.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
72.9%1h
72.9%1w0
72.9%1l
74.8%2d
74.8%2(*.f64 #s(literal 2 binary64) d)
78.0%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
77.2%2D
78.0%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
78.0%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
80.1%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
80.1%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
78.1%2(*.f64 M D)
78.1%2M
76.9%2(/.f64 h l)
79.9%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes8.0ms (0%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.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 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 D) (*.f64 d d)) (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) l))))
(*.f64 w0 #s(approx (sqrt (+ (* (/ (/ (* M D) (* d -2)) l) (/ (* (sqrt (/ (* M D) (* 2 d))) (sqrt (/ (* M D) (* 2 d)))) (/ 1 h))) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal 1/2 binary64))) (*.f64 l (*.f64 d d))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) l) (*.f64 d d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.f64 d l)) w0))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.f64 D d))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

6.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
79.2%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)

regimes6.0ms (0%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
17 → 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 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) D) (*.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 (/.f64 (*.f64 w0 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)) (*.f64 d (*.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 w0 (*.f64 M M)) (*.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 (/.f64 (*.f64 h (*.f64 (*.f64 w0 (*.f64 M M)) #s(literal -1/8 binary64))) (*.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))))
(*.f64 #s(approx (sqrt (+ 1 (/ (* (* M (* M D)) (* (* 1/4 D) h)) (* d (* d (neg l)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 h (*.f64 M M))) (*.f64 (*.f64 d d) l)) #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 #s(literal -1/8 binary64) (*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) l) (/.f64 (*.f64 h w0) (*.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 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d l)) (/.f64 (*.f64 h w0) d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (*.f64 (*.f64 M (*.f64 M w0)) (/.f64 h 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.f64 l (*.f64 d d))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

5.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
78.7%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)

regimes9.0ms (0%)

Memory
-23.6MiB live, 14.9MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (/.f64 (*.f64 h w0) (*.f64 d (*.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 h w0))) (*.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 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

3 calls:

5.0ms
(-.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)))
2.0ms
(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))))
2.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
78.4%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
78.4%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
78.4%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 62 to 44 computations (29% saved)

regimes22.0ms (0.1%)

Memory
17.5MiB live, 56.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

15 calls:

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)))
1.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms
D
1.0ms
h
1.0ms
M
Results
AccuracySegmentsBranch
65.5%1h
65.5%1w0
65.5%1l
65.5%1d
65.5%1(*.f64 #s(literal 2 binary64) d)
65.5%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
65.5%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
65.5%1(/.f64 h l)
65.5%1D
65.5%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
65.5%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
65.5%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
65.5%1(*.f64 M D)
65.5%1M
65.5%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6357479442579705e-11
2.5364874891596216e-8
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.932997741105969e+159
1.1420992114542453e+160
0.0ms
2.109281033655749e-206
6.060029876127371e-203
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.086736860119873e+99
3.621113053978931e+100
0.0ms
8.246724017463582e-163
2.6879010187131103e-157
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.086736860119873e+99
3.621113053978931e+100
0.0ms
8.246724017463582e-163
2.6879010187131103e-157
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.02144215413103964
-1.7114865611770995e-66
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.4870818083799383e+155
2.932997741105969e+159
0.0ms
2.109281033655749e-206
6.060029876127371e-203
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.4870818083799383e+155
2.932997741105969e+159
0.0ms
2.109281033655749e-206
6.060029876127371e-203
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.055235890235074e+143
1.056631274256649e+152
0.0ms
2.109281033655749e-206
6.060029876127371e-203
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.588866454236566e+112
8.619077292501806e+114
0.0ms
3.1010635105512915e-120
1.1760283444954216e-118
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.109281033655749e-206
6.060029876127371e-203
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8314220336352503000.0
-0.02144215413103964
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.5814850886314296e+75
-3.575586140296642e+69
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.7217171312483e+118
-4.2240031734833116e+104
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
-1.111110001205736e+120
-2.7217171312483e+118
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
-1.111110001205736e+120
-2.7217171312483e+118
Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify75.0ms (0.4%)

Memory
-36.3MiB live, 50.3MiB allocated
Algorithm
egg-herbie
Rules
230×*-commutative_binary64
56×neg-sub0_binary64
56×neg-mul-1_binary64
54×+-commutative_binary64
54×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02541377
13561377
23851377
34281377
44671377
54951377
65221377
75431377
85541377
95591377
105601377
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 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #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 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 6189700196426901/309485009821345068724781056 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 M D) #s(literal 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d)))) (if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) D #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 M M) d)) d) (/.f64 h l))) D #s(literal 1 binary64))))) (if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (*.f64 M #s(literal -1/4 binary64))) D) (*.f64 d l)) 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 -5764607523034235/288230376151711744 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) l) (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal 4 binary64))))) h #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 M D) #s(literal 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 400000000000000002870492616364067321632245924756641247226851088585002646721953360513066427938304757321546295253187048545040326136917876903810934614708453376 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (/.f64 h d)) D) (*.f64 d l)) D #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 M D) #s(literal 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 400000000000000002870492616364067321632245924756641247226851088585002646721953360513066427938304757321546295253187048545040326136917876903810934614708453376 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (*.f64 (/.f64 (*.f64 h #s(literal -1/4 binary64)) d) (/.f64 (*.f64 M M) (*.f64 d l)))) D #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 M D) #s(literal 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 M D) #s(literal 7268387242956069/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/4 binary64)))) (/.f64 h (*.f64 d (*.f64 d (neg.f64 l)))) #s(literal 1 binary64))) w0) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 M D) #s(literal 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/4 binary64)) M) M) (*.f64 d (*.f64 d l)))) 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 -5000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 h (*.f64 (*.f64 D (*.f64 D M)) M))) (*.f64 d (*.f64 d l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 M M)) (*.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 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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 M (*.f64 (*.f64 M w0) #s(literal -1/8 binary64))) (/.f64 h (*.f64 d l))) D) (/.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 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 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 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))) h) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 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 #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 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) h)) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 6189700196426901/309485009821345068724781056 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))) D)) D #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 6189700196426901/309485009821345068724781056 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h (*.f64 D (/.f64 (*.f64 M (*.f64 M #s(literal -1/4 binary64))) (*.f64 d (*.f64 d l))))) D #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 M D) #s(literal 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M 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 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 D (/.f64 (/.f64 h (neg.f64 l)) d)) #s(literal 1 binary64))))))
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(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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 D (*.f64 (*.f64 M (*.f64 #s(literal -1/8 binary64) (*.f64 w0 M))) (/.f64 h (*.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 -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) w0) h) (*.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 -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 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 #s(literal -1/8 binary64) (/.f64 (*.f64 h (*.f64 w0 (*.f64 D (*.f64 M (*.f64 M D))))) (*.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 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 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 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h w0))) (*.f64 d (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 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 #s(literal -1/8 binary64) (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 w0 h))) (*.f64 d (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

soundness2.2s (11.1%)

Memory
3.6MiB live, 1 956.0MiB allocated
Rules
10 592×lower-*.f64
10 592×lower-*.f32
10 432×lower-*.f64
10 432×lower-*.f32
8 912×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128938925
1454438089
0887937023
063437
0107439
1359409
23068392
08459392
06288158
121898136
084867930
065935067
1228234837
0819533789
083599
0133597
1464528
23518528
011268521
072604
0124564
1432548
23419548
08212548
01778
02678
18278
255078
3707378
0866178
Stop Event
fuel
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
node limit
iter limit
iter limit
node limit
Compiler

Compiled 2 878 to 1 425 computations (50.5% saved)

preprocess302.0ms (1.5%)

Memory
48.3MiB live, 551.8MiB allocated
Remove

(negabs w0)

(abs d)

Compiler

Compiled 6 122 to 2 706 computations (55.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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