Henrywood and Agarwal, Equation (9a)

Time bar (total: 14.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze633.0ms (4.5%)

Memory
2.0MiB live, 801.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%99.7%0.3%0%0%0%4
0%0%99.7%0.3%0%0%0%5
0%0%99.7%0.3%0%0%0%6
12.5%12.5%87.2%0.3%0%0%0%7
12.5%12.5%87.2%0.3%0%0%0%8
12.5%12.5%87.2%0.3%0%0%0%9
12.5%12.5%87.2%0.3%0%0%0%10
12.5%12.5%87.2%0.3%0%0%0%11
18.8%18.7%81%0.3%0%0%0%12
Compiler

Compiled 20 to 19 computations (5% saved)

sample2.5s (17.8%)

Memory
35.8MiB live, 2 400.9MiB allocated
Samples
1.3s8 256×0valid
429.0ms2 759×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 375.0ms (35.9% of total)
ival-pow2: 223.0ms (21.4% of total)
ival-div: 203.0ms (19.4% of total)
ival-sqrt: 111.0ms (10.6% of total)
ival-sub: 109.0ms (10.4% 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

explain329.0ms (2.4%)

Memory
5.9MiB live, 368.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
370-0-(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))))
340-0-(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
220-2(-1.1329570740168073e-193 1.6142953926625967e-215 1.7121238986949563e-96 -9.079683702149847e+172 -1.0513023190218142e-83 4.9716493522789766e-20)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
80-0-(*.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-rescue370
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow64
↳(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))overflow71
↳(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))overflow34
↳(*.f64 M D)overflow22
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow28
↳(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow71
↳(/.f64 h l)overflow29
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n80
↳(*.f64 M D)overflow22
*.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*o80
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o60
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u40
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow64
↳(*.f64 M D)overflow22
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow28
↳(/.f64 h l)underflow30
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))u*o20
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow97
↳(*.f64 M D)underflow38
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow46
↳(/.f64 h l)overflow29
Confusion
Predicted +Predicted -
+469
-15186
Precision
0.7540983606557377
Recall
0.8363636363636363
Confusion?
Predicted +Predicted MaybePredicted -
+4609
-150186
Precision?
0.7540983606557377
Recall?
0.8363636363636363
Freqs
test
numberfreq
0195
157
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
109.0ms512×0valid
Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 27.0ms (49.5% of total)
ival-div: 16.0ms (29.3% of total)
ival-pow2: 5.0ms (9.2% of total)
ival-sqrt: 3.0ms (5.5% of total)
ival-sub: 2.0ms (3.7% of total)
exact: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess220.0ms (1.6%)

Memory
15.6MiB live, 172.8MiB allocated
Algorithm
1×egg-herbie
Rules
5 232×lower-*.f32
5 224×lower-*.f64
5 184×lower-/.f32
5 180×lower-/.f64
1 444×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

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

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify189.0ms (1.4%)

Memory
11.9MiB live, 172.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
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)))))
Rules
5 232×lower-*.f32
5 224×lower-*.f64
5 184×lower-/.f32
5 180×lower-/.f64
1 444×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01795
02695
14795
211595
382695
4455495
5786295
0802295
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) 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 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

localize141.0ms (1%)

Memory
-27.2MiB live, 92.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.9001466057822052
(*.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)))))
accuracy4.697373968782208
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy7.910527447727536
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
accuracy8.688631519470855
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
Samples
124.0ms256×0valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (34.2% of total)
ival-div: 4.0ms (27.4% of total)
ival-sqrt: 2.0ms (13.7% of total)
ival-pow2: 2.0ms (13.7% of total)
ival-sub: 1.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series116.0ms (0.8%)

Memory
14.1MiB live, 133.5MiB allocated
Counts
5 → 288
Calls
Call 1
Inputs
#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation:binary64>) () ())
#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation:binary64>) () ())
Outputs
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor -inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor -inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation:binary64>) () ())) ())
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#s(alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) (taylor inf d) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation:binary64>) () ())) ())
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#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation:binary64>) () ())) ())
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#s(alt 1 (taylor -inf d) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation:binary64>) () ())) ())
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#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation:binary64>) () ())) ())
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#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation:binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation:binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
38.0ms
h
@inf
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
6.0ms
l
@inf
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
6.0ms
l
@0
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms
D
@inf
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms
M
@0
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))

simplify350.0ms (2.5%)

Memory
-27.6MiB live, 307.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 584×lower-*.f64
10 584×lower-*.f32
8 912×lower-fma.f64
8 912×lower-fma.f32
2 748×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06267690
121857668
084757462
Stop Event
1×iter limit
1×node limit
Counts
288 → 281
Calls
Call 1
Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
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w0
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1
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1
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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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1
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1
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w0
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1
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1
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w0
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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)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* (/ (* 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)))))))
(* (/ (* 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)))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (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 (* (/ (* 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))))))))
(* -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))))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (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))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 (*.f64 d d)) (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (pow.f64 M #s(literal 4 binary64)) l) (/.f64 h l)) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))))) h w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (*.f64 (*.f64 M M) w0) l) (*.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) h) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 w0 (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 l l))))) h)) h w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 h (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 l l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M l) (/.f64 M (*.f64 d d))))) h #s(literal 1 binary64))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (*.f64 M M) l) (*.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) h) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) h)) h #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
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w0
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1
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rewrite180.0ms (1.3%)

Memory
17.5MiB live, 295.9MiB allocated
Rules
5 804×lower-*.f32
5 796×lower-*.f64
4 036×lower-fma.f64
4 036×lower-fma.f32
3 008×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01769
02669
18269
255069
3704769
0863569
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 411
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)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Outputs
(*.f64 (*.f64 w0 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 h l) (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))))))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) (-.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
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(/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 D d) (neg.f64 M)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 D M)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 M #s(literal 1 binary64)) (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 (*.f64 #s(literal 1 binary64) M) (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) #s(literal -1 binary64)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal -2 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D))) (exp.f64 (log.f64 d)))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d))))
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (*.f64 d #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))
(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) D) M))
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M))
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 d M) D)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) d)
(/.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (*.f64 D M) #s(literal -1 binary64)))
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M))
(/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 d D))
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d M) D))
(/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64)))
(/.f64 M (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) d)) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))

eval96.0ms (0.7%)

Memory
-13.1MiB live, 256.1MiB allocated
Compiler

Compiled 20 473 to 2 864 computations (86% saved)

prune49.0ms (0.4%)

Memory
-5.7MiB live, 121.9MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New67715692
Fresh000
Picked011
Done000
Total67716693
Accuracy
87.9%
Counts
693 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.2%
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
82.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #s(literal 1 binary64))))
▶86.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
74.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
▶76.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))))
▶81.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
86.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
79.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))))
78.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) d))))
✓79.2%
(*.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)))))
67.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 h #s(literal -1 binary64)))))))
52.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
▶19.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
50.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
▶60.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
50.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
Compiler

Compiled 684 to 581 computations (15.1% saved)

simplify127.0ms (0.9%)

Memory
38.4MiB live, 233.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))))
cost-diff128
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)))
cost-diff320
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))
cost-diff0
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
cost-diff320
(fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
cost-diff320
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff6848
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64)))
Rules
7 836×lower-*.f32
7 796×lower-*.f64
3 586×lower-/.f32
3 570×lower-/.f64
2 118×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061579
0103588
1208588
2682568
34615558
47933558
08055549
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
l
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (*.f64 D M) #s(literal -1/2 binary64))
(*.f64 D M)
#s(literal -1/2 binary64)
(pow.f64 h #s(literal -1 binary64))
h
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(/.f64 h l)
h
l
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (*.f64 D M) #s(literal -1/2 binary64))
(*.f64 D M)
D
M
#s(literal -1/2 binary64)
d
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 (/.f64 M d) M)
(/.f64 M d)
M
d
(*.f64 (/.f64 #s(literal 1/2 binary64) d) D)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)
(/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
l
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64)))
(*.f64 (*.f64 h (/.f64 #s(literal -1/2 binary64) d)) (*.f64 D M))
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) D) M)
(*.f64 (*.f64 D M) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) M)
(*.f64 D M)
#s(literal -1/2 binary64)
(pow.f64 h #s(literal -1 binary64))
h
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64))))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) M) (*.f64 D M))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(*.f64 (*.f64 (/.f64 h l) M) (*.f64 (/.f64 #s(literal -1/2 binary64) d) D))
(/.f64 h l)
h
l
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) D) M)
(*.f64 (*.f64 D M) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) D) M)
(*.f64 D M)
D
M
#s(literal -1/2 binary64)
d
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))
(fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M M) D) l)) (*.f64 (/.f64 (/.f64 D d) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) #s(literal -1/2 binary64)) (/.f64 h l))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))
(*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) M)
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 (/.f64 M d) M)
(/.f64 M d)
M
d
(*.f64 (/.f64 #s(literal 1/2 binary64) d) D)
(*.f64 D (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1 binary64)

localize162.0ms (1.2%)

Memory
-26.6MiB live, 417.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy2.4353340591904358
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))
accuracy8.63544827895009
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))
accuracy8.688631519470855
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))
accuracy8.711490233391789
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)))
accuracy4.697373968782208
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
accuracy5.817041589051434
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy8.66761057970255
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
accuracy8.688631519470855
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
accuracy7.9116758907405496
(*.f64 l (*.f64 d d))
accuracy8.688631519470855
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
accuracy13.169905761746719
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
accuracy36.244092855006954
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
accuracy1.9001466057822052
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy25.507057679602283
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy4.697373968782208
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
accuracy4.719619007023683
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)
accuracy5.817041589051434
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy8.688631519470855
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
Samples
105.0ms256×0valid
Compiler

Compiled 532 to 61 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 36.0ms (50.1% of total)
ival-div: 15.0ms (20.9% of total)
ival-sqrt: 7.0ms (9.8% of total)
ival-pow: 4.0ms (5.6% of total)
ival-add: 3.0ms (4.2% of total)
ival-pow2: 3.0ms (4.2% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series183.0ms (1.3%)

Memory
-5.6MiB live, 552.5MiB allocated
Counts
24 → 1 356
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))) #<representation:binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (patch (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (patch (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) #<representation:binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #<representation:binary64>) () ())
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) #<representation:binary64>) () ())
Outputs
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
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#s(alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) (taylor -inf d) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor -inf d) (#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) (taylor -inf d) (#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) (taylor -inf d) (#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (patch (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #<representation:binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation:binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation:binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation:binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (pow M 2)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (pow M 2)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (pow M 2)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (pow M 2)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) #<representation:binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
14.0ms
M
@0
((/ (/ (* (* D M) -1/2) d) (pow h -1)) (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1) (* w0 (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1))) (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1) (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1)) (* (* (/ 1/2 d) M) D) (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* D M) -1/2) d) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (* D 1/2) (* (/ M d) M)))
8.0ms
d
@0
((/ (/ (* (* D M) -1/2) d) (pow h -1)) (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1) (* w0 (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1))) (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1) (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1)) (* (* (/ 1/2 d) M) D) (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* D M) -1/2) d) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (* D 1/2) (* (/ M d) M)))
7.0ms
D
@inf
((/ (/ (* (* D M) -1/2) d) (pow h -1)) (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1) (* w0 (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1))) (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1) (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1)) (* (* (/ 1/2 d) M) D) (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* D M) -1/2) d) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (* D 1/2) (* (/ M d) M)))
7.0ms
D
@0
((/ (/ (* (* D M) -1/2) d) (pow h -1)) (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1) (* w0 (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1))) (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1) (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1)) (* (* (/ 1/2 d) M) D) (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* D M) -1/2) d) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (* D 1/2) (* (/ M d) M)))
6.0ms
d
@inf
((/ (/ (* (* D M) -1/2) d) (pow h -1)) (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1) (* w0 (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1))) (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (/ (/ (* (* D M) -1/2) d) (pow h -1))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1) (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (* D 1/2) (* (/ M d) M))) (* (/ 1/2 d) D)) 1)) (* (* (/ 1/2 d) M) D) (/ (* (* (/ 1/2 d) M) D) l) (/ (* (* D M) -1/2) d) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (* D 1/2) (* (/ M d) M)))

simplify328.0ms (2.4%)

Memory
16.2MiB live, 731.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 466×lower-*.f64
10 466×lower-*.f32
8 468×lower-fma.f64
8 468×lower-fma.f32
2 730×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065935895
1228535665
0820534617
Stop Event
1×iter limit
1×node limit
Counts
1 356 → 1 321
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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1
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
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w0
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1
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w0
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 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))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* 1/2 (/ (* D (pow M 2)) d))
(* 1/2 (/ (* D (pow M 2)) d))
(* 1/2 (/ (* D (pow M 2)) d))
(* 1/2 (/ (* D (pow M 2)) d))
(* -1/2 (/ (* D (* M h)) d))
(* -1/2 (/ (* D (* M h)) d))
(* -1/2 (/ (* D (* M h)) d))
(* -1/2 (/ (* D (* M h)) d))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 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))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* 1/2 (/ (* D (pow M 2)) d))
(* 1/2 (/ (* D (pow M 2)) d))
(* 1/2 (/ (* D (pow M 2)) d))
(* 1/2 (/ (* D (pow M 2)) d))
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
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#s(literal 1 binary64)
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w0
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#s(literal 1 binary64)
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* 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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(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (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)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) w0))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 h M) D) d) l) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (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)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) w0))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64)))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* 1/2 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/2 binary64))

rewrite200.0ms (1.4%)

Memory
18.8MiB live, 367.9MiB allocated
Rules
4 982×lower-/.f32
4 966×lower-/.f64
3 338×lower-*.f32
3 298×lower-*.f64
3 072×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061445
0103454
1329389
22660379
08222365
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 951
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))
Outputs
(*.f64 (pow.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 d) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) D) M)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 d #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 h #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D))) #s(literal -1 binary64)))
(*.f64 (*.f64 h (*.f64 M D)) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 (/.f64 (*.f64 M D) (pow.f64 h #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) d) (pow.f64 h #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (pow.f64 h #s(literal -1/2 binary64))) (/.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 h #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 M D) (pow.f64 h #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) h)) (/.f64 (*.f64 M D) d))
(*.f64 (/.f64 D (pow.f64 h #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) M) d))
(*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal -1/2 binary64) d) (pow.f64 h #s(literal -1 binary64))))
(*.f64 (*.f64 M D) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 h #s(literal -1 binary64)) d)))
(*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal -1/2 binary64) d) h))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 M D)) (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal -1 binary64)))
(*.f64 h (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h)
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (/.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 (pow.f64 d #s(literal -1 binary64)) h))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 M D) (*.f64 (pow.f64 h #s(literal -1 binary64)) d)))
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 (pow.f64 h #s(literal -1 binary64)) d)))
(pow.f64 (*.f64 (/.f64 (/.f64 d (*.f64 M D)) #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 h #s(literal -1 binary64)) d) (*.f64 (*.f64 #s(literal -1/2 binary64) D) M)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) h))) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) (pow.f64 h #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 h #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 h (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 d)))
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(pow.f64 (/.f64 (/.f64 d (*.f64 M D)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 d (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) #s(literal 1 binary64))) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) #s(literal 1 binary64)) d)
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (neg.f64 d))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 d (*.f64 M D)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (*.f64 M D)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d (*.f64 M D)) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) d)
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 d (*.f64 M D)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 l d) (*.f64 (*.f64 M M) D)) #s(literal -1 binary64)) (/.f64 D d))
(*.f64 (pow.f64 (/.f64 (*.f64 l d) (*.f64 M M)) #s(literal -1 binary64)) (pow.f64 (/.f64 d (*.f64 D D)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 l d) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d (*.f64 (*.f64 M M) D)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 M M)) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 D D)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 l (*.f64 M M)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) (*.f64 D D)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 M M) D)) #s(literal -1 binary64)) (/.f64 D l))
(*.f64 (pow.f64 d #s(literal -2 binary64)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l))
(*.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64)) (pow.f64 (/.f64 d (pow.f64 (*.f64 M D) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d))
(*.f64 (/.f64 (*.f64 M M) (*.f64 l d)) (/.f64 (*.f64 D D) d))
(*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l))
(*.f64 (/.f64 (*.f64 M M) l) (/.f64 (*.f64 D D) (*.f64 d d)))
(*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d))
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 d d)) (/.f64 D l))
(*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) (*.f64 (*.f64 M M) D))
(*.f64 (/.f64 D l) (pow.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 M M) D)) #s(literal -1 binary64)))
(*.f64 (/.f64 D l) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 d d)))
(*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (pow.f64 d #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 d #s(literal -2 binary64)) l) (pow.f64 (pow.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 d #s(literal -2 binary64)) l) (pow.f64 (*.f64 M D) #s(literal 2 binary64)))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 (*.f64 M M) D) l))
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (/.f64 (/.f64 D d) d))
(*.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (pow.f64 (*.f64 (neg.f64 l) (*.f64 d d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (/.f64 (pow.f64 d #s(literal -2 binary64)) l))
(*.f64 (*.f64 (*.f64 M M) D) (/.f64 (/.f64 (/.f64 D d) d) l))
(*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 M M) (*.f64 (*.f64 D D) (/.f64 (pow.f64 d #s(literal -2 binary64)) l)))
(*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 d #s(literal -2 binary64)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l)))
(*.f64 M (*.f64 (*.f64 M D) (/.f64 (/.f64 (/.f64 D d) d) l)))
(*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)))
(*.f64 D (*.f64 (*.f64 (*.f64 M M) D) (/.f64 (pow.f64 d #s(literal -2 binary64)) l)))
(*.f64 D (*.f64 (*.f64 M M) (/.f64 (/.f64 (/.f64 D d) d) l)))
(pow.f64 (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) d)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 (/.f64 D d) d))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D)) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 l) (*.f64 d d)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 l d))) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d))) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l))) (neg.f64 (neg.f64 (*.f64 d d))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 l) (*.f64 d d)))))
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) d) d)
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 (/.f64 D d) d)) l)
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d))
(/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 d d) l))
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 l d)) d)
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d)) l)
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l)) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 l) (*.f64 d d))))
(/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (*.f64 d d))
(/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 (neg.f64 l) (*.f64 d d)))
(/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) d)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) (/.f64 (/.f64 D d) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) l) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 l d))))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 M D) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 M D) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 M D) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 (*.f64 d d) l)))
(neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (neg.f64 l) (*.f64 d d))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 l) (*.f64 d d))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (neg.f64 l) (*.f64 d d))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 l d) (/.f64 d (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (*.f64 l d) d)
(*.f64 (*.f64 d d) l)
(*.f64 l (*.f64 d d))
(*.f64 d (*.f64 l d))
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) (/.f64 M d))
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D)
(*.f64 (*.f64 (/.f64 M d) M) (*.f64 #s(literal 1/2 binary64) D))
(*.f64 (/.f64 M d) (*.f64 M (*.f64 #s(literal 1/2 binary64) D)))
(*.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 M d) M))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) M)
(*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 (/.f64 M d) M)))
(*.f64 M (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))
(*.f64 D (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (*.f64 #s(literal 1/2 binary64) D))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 M M))) (neg.f64 d))
(/.f64 (*.f64 (*.f64 M M) (*.f64 #s(literal 1/2 binary64) D)) d)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 M M)) d)
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 M M) (*.f64 #s(literal 1/2 binary64) D))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 M M))))

eval348.0ms (2.5%)

Memory
7.6MiB live, 742.4MiB allocated
Compiler

Compiled 76 854 to 5 131 computations (93.3% saved)

prune98.0ms (0.7%)

Memory
-5.5MiB live, 249.7MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New2 478152 493
Fresh7310
Picked325
Done101
Total2 489202 509
Accuracy
87.9%
Counts
2 509 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.2%
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
▶86.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))))
84.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #s(approx (/ (/ (* (* D M) -1/2) d) (pow h -1)) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
▶83.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
74.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
✓81.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
83.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
79.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))))
▶19.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
20.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
21.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
▶17.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
20.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
15.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
23.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
19.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
20.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
50.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
✓60.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
▶50.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
Compiler

Compiled 843 to 705 computations (16.4% saved)

simplify145.0ms (1%)

Memory
-9.7MiB live, 184.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D))
cost-diff0
(fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
cost-diff0
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff0
(*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff0
(*.f64 D D)
cost-diff0
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
cost-diff0
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)
cost-diff0
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))))
Rules
8 210×lower-*.f32
8 166×lower-*.f64
4 282×lower-/.f32
4 264×lower-/.f64
1 710×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065680
0109680
1231680
2765680
34702680
46133680
57972680
08110680
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
l
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h)
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D))
(/.f64 #s(literal -1/2 binary64) d)
#s(literal -1/2 binary64)
(*.f64 M D)
h
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/.f64 (*.f64 h (*.f64 M M)) l)
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
l
(/.f64 w0 (*.f64 d d))
w0
(*.f64 d d)
d
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)))
(*.f64 M M)
M
(/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))
(*.f64 D D)
D
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d))
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D)
(/.f64 (*.f64 (*.f64 M M) D) l)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
l
(*.f64 d d)
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D))
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(*.f64 M D)
M
D
(*.f64 l d)
l
d
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l)) #s(literal -1/2 binary64)) (/.f64 (*.f64 D M) d) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l)) #s(literal -1/2 binary64)) (/.f64 (*.f64 D M) d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l)) #s(literal -1/2 binary64)) (/.f64 (*.f64 D M) d) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)
(/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
l
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h)
(*.f64 (*.f64 (*.f64 h (/.f64 #s(literal -1/2 binary64) d)) D) M)
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) D) M)
(/.f64 #s(literal -1/2 binary64) d)
#s(literal -1/2 binary64)
(*.f64 M D)
(*.f64 D M)
h
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 w0 (*.f64 d d)) D) (*.f64 D (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64))) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(fma.f64 (*.f64 (/.f64 w0 (*.f64 d d)) D) (*.f64 D (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal -1/8 binary64))) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) M) (/.f64 M l))
(/.f64 (*.f64 h (*.f64 M M)) l)
(/.f64 (*.f64 (*.f64 M M) h) l)
(*.f64 h (*.f64 M M))
(*.f64 (*.f64 M M) h)
h
(*.f64 M M)
M
l
(/.f64 w0 (*.f64 d d))
w0
(*.f64 d d)
d
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) M) M) D) (/.f64 (/.f64 (/.f64 D d) d) l)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) M) M) D) (/.f64 (/.f64 (/.f64 D d) d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) M) M) D) (/.f64 (/.f64 (/.f64 D d) d) l)))
(*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) M) M) D) (/.f64 (/.f64 (/.f64 D d) d) l))
(*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)))
(*.f64 (/.f64 (/.f64 (*.f64 M M) d) l) (*.f64 D (/.f64 D d)))
(*.f64 M M)
M
(/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))
(*.f64 (/.f64 (/.f64 D l) d) (/.f64 D d))
(*.f64 D D)
D
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) M) M) D) (/.f64 (/.f64 (/.f64 D d) d) l)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) M) M) D) (/.f64 (/.f64 (/.f64 D d) d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) M) M) D) (/.f64 (/.f64 (/.f64 D d) d) l)))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) M) M) D) (/.f64 (/.f64 (/.f64 D d) d) l))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d))
(*.f64 (/.f64 (/.f64 (*.f64 M M) d) l) (*.f64 D (/.f64 D d)))
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D)
(/.f64 (*.f64 (*.f64 M M) D) l)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
l
(*.f64 d d)
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l)) #s(literal -1/2 binary64)) (/.f64 (*.f64 D M) d) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l)) #s(literal -1/2 binary64)) (/.f64 (*.f64 D M) d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l)) #s(literal -1/2 binary64)) (/.f64 (*.f64 D M) d) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d))
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) h) (/.f64 #s(literal -1/2 binary64) l))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D))
(*.f64 (*.f64 h D) (*.f64 #s(literal -1/2 binary64) M))
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 l d)
l
d
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize162.0ms (1.2%)

Memory
25.4MiB live, 257.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.390952351624395
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D))
accuracy5.817041589051434
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy8.688631519470855
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
accuracy9.319850468197702
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d))
accuracy6.467247539605833
(*.f64 (*.f64 M M) D)
accuracy8.688631519470855
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))
accuracy14.393754309978018
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d))
accuracy36.244092855006954
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))
accuracy8.688631519470855
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))
accuracy14.097370474701892
(*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)))
accuracy15.50479800272298
(/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))
accuracy36.244092855006954
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))
accuracy8.908003876217222
(/.f64 w0 (*.f64 d d))
accuracy12.857613656015486
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
accuracy14.091943133359864
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
accuracy14.789819930958824
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
accuracy4.719619007023683
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)
accuracy4.742627728550651
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D))
accuracy5.817041589051434
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy8.688631519470855
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))
Samples
112.0ms256×0valid
Compiler

Compiled 560 to 62 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 46.0ms (59.3% of total)
ival-div: 17.0ms (21.9% of total)
ival-sqrt: 5.0ms (6.4% of total)
ival-pow2: 5.0ms (6.4% of total)
ival-add: 3.0ms (3.9% of total)
ival-sub: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series212.0ms (1.5%)

Memory
14.5MiB live, 331.5MiB allocated
Counts
29 → 1 512
Calls
Call 1
Inputs
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #<representation:binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation:binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))) #<representation:binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)) #<representation:binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))) #<representation:binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)) #<representation:binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (patch (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation:binary64>) () ())
#s(alt (/.f64 w0 (*.f64 d d)) (patch (/.f64 w0 (*.f64 d d)) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (patch (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (patch (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 M M) D) (patch (*.f64 (*.f64 M M) D) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) #<representation:binary64>) () ())
Outputs
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)) #<representation:binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation:binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation:binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation:binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) #<representation:binary64>) () ())) ())
#s(alt (/ w0 (pow d 2)) (taylor -inf d) (#s(alt (/.f64 w0 (*.f64 d d)) (patch (/.f64 w0 (*.f64 d d)) #<representation:binary64>) () ())) ())
#s(alt (/ w0 (pow d 2)) (taylor -inf d) (#s(alt (/.f64 w0 (*.f64 d d)) (patch (/.f64 w0 (*.f64 d d)) #<representation:binary64>) () ())) ())
#s(alt (/ w0 (pow d 2)) (taylor -inf d) (#s(alt (/.f64 w0 (*.f64 d d)) (patch (/.f64 w0 (*.f64 d d)) #<representation:binary64>) () ())) ())
#s(alt (/ w0 (pow d 2)) (taylor -inf d) (#s(alt (/.f64 w0 (*.f64 d d)) (patch (/.f64 w0 (*.f64 d d)) #<representation:binary64>) () ())) ())
#s(alt (/ (pow D 2) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)) #<representation:binary64>) () ())) ())
#s(alt (/ (pow D 2) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)) #<representation:binary64>) () ())) ())
#s(alt (/ (pow D 2) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)) #<representation:binary64>) () ())) ())
#s(alt (/ (pow D 2) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (patch (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (patch (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (patch (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (patch (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (patch (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (patch (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (patch (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (patch (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D (* M h)) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) #<representation:binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
18.0ms
D
@inf
((* w0 (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1))) (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1)) (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1) (/ (* (* (/ 1/2 d) M) D) l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) (/ (* D D) (* (* d d) l))) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (/ (* (* M M) D) l) D) (* d d)) (* -1/4 h)) (* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1) (* (* h -1/2) (* M D)) (* (* (/ 1/2 d) M) D) (* (/ -1/2 d) (* M D)) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* D D) (* (* d d) l)) (* (* M M) (/ (* D D) (* (* d d) l))) (/ (* (/ (* (* M M) D) l) D) (* d d)) (* (* M M) D) (/ (* (* h -1/2) (* M D)) (* l d)))
17.0ms
w0
@inf
((* w0 (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1))) (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1)) (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1) (/ (* (* (/ 1/2 d) M) D) l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) (/ (* D D) (* (* d d) l))) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (/ (* (* M M) D) l) D) (* d d)) (* -1/4 h)) (* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1) (* (* h -1/2) (* M D)) (* (* (/ 1/2 d) M) D) (* (/ -1/2 d) (* M D)) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* D D) (* (* d d) l)) (* (* M M) (/ (* D D) (* (* d d) l))) (/ (* (/ (* (* M M) D) l) D) (* d d)) (* (* M M) D) (/ (* (* h -1/2) (* M D)) (* l d)))
10.0ms
D
@-inf
((* w0 (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1))) (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1)) (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1) (/ (* (* (/ 1/2 d) M) D) l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) (/ (* D D) (* (* d d) l))) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (/ (* (* M M) D) l) D) (* d d)) (* -1/4 h)) (* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1) (* (* h -1/2) (* M D)) (* (* (/ 1/2 d) M) D) (* (/ -1/2 d) (* M D)) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* D D) (* (* d d) l)) (* (* M M) (/ (* D D) (* (* d d) l))) (/ (* (/ (* (* M M) D) l) D) (* d d)) (* (* M M) D) (/ (* (* h -1/2) (* M D)) (* l d)))
8.0ms
D
@0
((* w0 (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1))) (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1)) (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1) (/ (* (* (/ 1/2 d) M) D) l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) (/ (* D D) (* (* d d) l))) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (/ (* (* M M) D) l) D) (* d d)) (* -1/4 h)) (* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1) (* (* h -1/2) (* M D)) (* (* (/ 1/2 d) M) D) (* (/ -1/2 d) (* M D)) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* D D) (* (* d d) l)) (* (* M M) (/ (* D D) (* (* d d) l))) (/ (* (/ (* (* M M) D) l) D) (* d d)) (* (* M M) D) (/ (* (* h -1/2) (* M D)) (* l d)))
7.0ms
M
@-inf
((* w0 (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1))) (sqrt (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1)) (+ (* (/ (* (* (/ 1/2 d) M) D) l) (* (* (/ -1/2 d) (* M D)) h)) 1) (/ (* (* (/ 1/2 d) M) D) l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) (/ (* D D) (* (* d d) l))) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (/ (* (* M M) D) l) D) (* d d)) (* -1/4 h)) (* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1)) (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) M) D)) 1) (* (* h -1/2) (* M D)) (* (* (/ 1/2 d) M) D) (* (/ -1/2 d) (* M D)) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* D D) (* (* d d) l)) (* (* M M) (/ (* D D) (* (* d d) l))) (/ (* (/ (* (* M M) D) l) D) (* d d)) (* (* M M) D) (/ (* (* h -1/2) (* M D)) (* l d)))

simplify322.0ms (2.3%)

Memory
-26.6MiB live, 468.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 486×lower-*.f64
8 486×lower-*.f32
6 640×lower-fma.f64
6 640×lower-fma.f32
4 656×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068336524
1235436356
0849435324
Stop Event
1×iter limit
1×node limit
Counts
1 512 → 1 470
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ w0 (pow d 2))
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w0
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1
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1
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w0
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w0
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1
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1
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1
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1
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w0
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1
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1
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w0
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1
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1
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w0
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w0
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1
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1
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w0
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1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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w0
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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)))
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)))))))
1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(* -1/2 (/ (* D M) d))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ (pow D 2) (* (pow d 2) l))
(/ (pow D 2) (* (pow d 2) l))
(/ (pow D 2) (* (pow d 2) l))
(/ (pow D 2) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
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w0
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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1
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1
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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w0
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1
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1
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(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/2 (/ (* D M) d))
(* 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))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ (pow D 2) (* (pow d 2) l))
(/ (pow D 2) (* (pow d 2) l))
(/ (pow D 2) (* (pow d 2) l))
(/ (pow D 2) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
Outputs
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) (/.f64 M l))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) (/.f64 M l))
(* 1/2 (/ (* D M) (* d l)))
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(* 1/2 (/ (* D M) (* d l)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* -1/8 (pow D 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(* -1/8 (pow D 2))
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(* -1/8 (pow D 2))
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(* -1/8 (pow D 2))
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(pow D 2)
(*.f64 D D)
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(*.f64 D D)
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(* -1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ w0 (pow d 2))
(/.f64 w0 (*.f64 d d))
(/ w0 (pow d 2))
(/.f64 w0 (*.f64 d d))
(/ w0 (pow d 2))
(/.f64 w0 (*.f64 d d))
(/ w0 (pow d 2))
(/.f64 w0 (*.f64 d d))
(/ (pow D 2) (* (pow d 2) l))
(*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l))
(/ (pow D 2) (* (pow d 2) l))
(*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l))
(/ (pow D 2) (* (pow d 2) l))
(*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l))
(/ (pow D 2) (* (pow d 2) l))
(*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))

rewrite211.0ms (1.5%)

Memory
24.5MiB live, 332.9MiB allocated
Rules
4 466×lower-*.f32
4 422×lower-*.f64
4 300×lower-/.f32
4 282×lower-/.f64
3 104×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065534
0109534
1360484
22611482
08490469
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 999
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/.f64 w0 (*.f64 d d))
(/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d))
(*.f64 (*.f64 M M) D)
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d))
Outputs
(*.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64))))) (pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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eval333.0ms (2.4%)

Memory
17.7MiB live, 507.0MiB allocated
Compiler

Compiled 74 685 to 4 841 computations (93.5% saved)

prune94.0ms (0.7%)

Memory
-7.5MiB live, 224.4MiB allocated
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New2 576222 598
Fresh7613
Picked415
Done112
Total2 588302 618
Accuracy
87.9%
Counts
2 618 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.2%
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
▶80.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))))
74.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
80.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) M) (/.f64 D (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
80.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) D) M) (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l d)) #s(literal 1 binary64))))
79.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))))
21.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) M) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
20.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
✓17.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
▶20.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))))
15.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
▶19.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
20.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (/ (* (* M M) D) l) D) (* d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
59.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))
✓60.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
60.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
57.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (*.f64 l d)) w0))
55.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h M) (neg.f64 M))) (*.f64 (neg.f64 d) l)) w0))
54.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0))
56.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
55.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
52.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
54.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0))
▶56.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
50.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
62.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0))
▶63.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
49.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
51.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
13.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
Compiler

Compiled 1 285 to 1 059 computations (17.6% saved)

simplify310.0ms (2.2%)

Memory
-139.1MiB live, 182.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff0
(*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d)))
cost-diff0
(*.f64 D D)
cost-diff0
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
cost-diff0
(*.f64 w0 #s(literal -1/8 binary64))
cost-diff0
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
cost-diff0
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
cost-diff0
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D))
cost-diff0
(fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))))
Rules
4 946×lower-*.f32
4 894×lower-*.f64
4 432×lower-/.f32
4 416×lower-/.f64
3 076×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078741
0123741
1271741
21000739
33680739
44936739
55615739
66257739
76720739
87487739
08106739
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D))
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(*.f64 M D)
M
D
(*.f64 l d)
l
d
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) D)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(*.f64 w0 #s(literal -1/8 binary64))
w0
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D)
(*.f64 (*.f64 h (*.f64 M M)) D)
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
D
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d)))
(/.f64 (*.f64 (*.f64 M M) h) d)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
d
(/.f64 w0 (*.f64 l d))
w0
(*.f64 l d)
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)))
D
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d))))
(*.f64 M M)
M
(*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))
(/.f64 D d)
D
d
(/.f64 D (*.f64 l d))
(*.f64 l d)
l
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) d) (*.f64 (*.f64 (*.f64 D M) h) #s(literal -1/2 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) d) (*.f64 (*.f64 (*.f64 D M) h) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) d) (*.f64 (*.f64 (*.f64 D M) h) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d))
(*.f64 (/.f64 (*.f64 D (*.f64 #s(literal -1/2 binary64) h)) l) (/.f64 M d))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D))
(*.f64 (*.f64 (*.f64 D M) h) #s(literal -1/2 binary64))
(*.f64 h #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) h)
h
#s(literal -1/2 binary64)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 l d)
(*.f64 d l)
l
d
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) D)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
#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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) d) d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) #s(literal 1 binary64)) w0)))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) d) d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) #s(literal 1 binary64)) w0))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) d) d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) #s(literal 1 binary64)) w0)
(*.f64 w0 #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) w0)
w0
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d)))
(*.f64 (/.f64 (/.f64 (*.f64 D h) l) d) (*.f64 (*.f64 (/.f64 D d) M) M))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D)
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D)
(*.f64 (*.f64 h (*.f64 M M)) D)
(*.f64 (*.f64 (*.f64 M M) h) D)
(*.f64 h (*.f64 M M))
(*.f64 (*.f64 M M) h)
h
(*.f64 M M)
M
D
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) d) d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) #s(literal 1 binary64)) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) d) d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) #s(literal 1 binary64)) w0)
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 binary64)
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d)))
(*.f64 (/.f64 (/.f64 w0 (*.f64 d l)) d) (*.f64 (*.f64 M M) h))
(/.f64 (*.f64 (*.f64 M M) h) d)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
d
(/.f64 w0 (*.f64 l d))
(/.f64 w0 (*.f64 d l))
w0
(*.f64 l d)
(*.f64 d l)
l
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) d) d) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) d) d) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) d) d) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))))
(*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) d) d) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l))))
(*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 D (/.f64 (/.f64 D d) d)) (/.f64 (*.f64 M M) l))
D
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))
(*.f64 (/.f64 (*.f64 M (/.f64 (/.f64 M l) d)) d) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) d) d) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) d) d) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l))))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) d) d) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))))
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) d) d) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l))))
(*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d))))
(*.f64 (*.f64 D (/.f64 (/.f64 D d) d)) (/.f64 (*.f64 M M) l))
(*.f64 M M)
M
(*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))
(*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) D)
(/.f64 D d)
D
d
(/.f64 D (*.f64 l d))
(/.f64 (/.f64 D d) l)
(*.f64 l d)
(*.f64 d l)
l
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h

localize353.0ms (2.5%)

Memory
1.7MiB live, 236.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.98198383982877
(/.f64 D (*.f64 l d))
accuracy8.688631519470855
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))))
accuracy14.097370474701892
(*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d))))
accuracy36.244092855006954
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))
accuracy7.9116758907405496
(*.f64 (*.f64 d d) l)
accuracy8.688631519470855
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))
accuracy11.461313615226418
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))
accuracy36.244092855006954
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))
accuracy6.404208221327703
(*.f64 (*.f64 M M) h)
accuracy7.431978138353383
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d)))
accuracy14.091943133359864
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)
accuracy14.789819930958824
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
accuracy6.758813542296855
(*.f64 (*.f64 h (*.f64 M M)) D)
accuracy7.9116758907405496
(*.f64 l (*.f64 d d))
accuracy11.12272055290578
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d)))
accuracy14.789819930958824
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
accuracy4.641804190869365
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)
accuracy5.390952351624395
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D))
accuracy8.688631519470855
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))
accuracy9.319850468197702
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d))
Samples
268.0ms256×0valid
Compiler

Compiled 555 to 68 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 48.0ms (54.7% of total)
ival-div: 19.0ms (21.6% of total)
ival-add: 13.0ms (14.8% of total)
ival-sqrt: 3.0ms (3.4% of total)
ival-pow2: 2.0ms (2.3% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series424.0ms (3%)

Memory
17.1MiB live, 332.6MiB allocated
Counts
31 → 1 584
Calls
Call 1
Inputs
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (patch (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) #<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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) #<representation:binary64>) () ())
#s(alt (*.f64 w0 #s(literal -1/8 binary64)) (patch (*.f64 w0 #s(literal -1/8 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 D D) (patch (*.f64 D D) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) (patch (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) #<representation:binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))) #<representation:binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)) #<representation:binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))) #<representation:binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) #<representation:binary64>) () ())
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 h (*.f64 M M)) D) (patch (*.f64 (*.f64 h (*.f64 M M)) D) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 M M) h) (patch (*.f64 (*.f64 M M) h) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (patch (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) #<representation:binary64>) () ())
#s(alt (/.f64 D (*.f64 l d)) (patch (/.f64 D (*.f64 l d)) #<representation:binary64>) () ())
Outputs
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) #<representation:binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) #<representation:binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) #<representation:binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) (patch #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)) #<representation:binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) #<representation:binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) #<representation:binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) #<representation:binary64>) () ())) ())
#s(alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) (taylor 0 w0) (#s(alt (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0) #<representation:binary64>) () ())) ())
#s(alt (* -1/8 w0) (taylor 0 w0) (#s(alt (*.f64 w0 #s(literal -1/8 binary64)) (patch (*.f64 w0 #s(literal -1/8 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/8 w0) (taylor 0 w0) (#s(alt (*.f64 w0 #s(literal -1/8 binary64)) (patch (*.f64 w0 #s(literal -1/8 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/8 w0) (taylor 0 w0) (#s(alt (*.f64 w0 #s(literal -1/8 binary64)) (patch (*.f64 w0 #s(literal -1/8 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/8 w0) (taylor 0 w0) (#s(alt (*.f64 w0 #s(literal -1/8 binary64)) (patch (*.f64 w0 #s(literal -1/8 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor 0 w0) (#s(alt (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) (patch (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor 0 w0) (#s(alt (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) (patch (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor 0 w0) (#s(alt (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) (patch (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) (taylor 0 w0) (#s(alt (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) (patch (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation:binary64>) () ())) ())
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#s(alt (/ (* D (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)) #<representation:binary64>) () ())) ())
#s(alt (/ (* D (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)) #<representation:binary64>) () ())) ())
#s(alt (/ (* D (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)) #<representation:binary64>) () ())) ())
#s(alt (/ (* D (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)) (patch (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l)) #<representation:binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation:binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation:binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation:binary64>) () ())) ())
#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 (*.f64 d d) l) (patch (*.f64 (*.f64 d d) l) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (patch (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (patch (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (patch (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (patch (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) #<representation:binary64>) () ())) ())
#s(alt (/ D (* d l)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 l d)) (patch (/.f64 D (*.f64 l d)) #<representation:binary64>) () ())) ())
#s(alt (/ D (* d l)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 l d)) (patch (/.f64 D (*.f64 l d)) #<representation:binary64>) () ())) ())
#s(alt (/ D (* d l)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 l d)) (patch (/.f64 D (*.f64 l d)) #<representation:binary64>) () ())) ())
#s(alt (/ D (* d l)) (taylor -inf d) (#s(alt (/.f64 D (*.f64 l d)) (patch (/.f64 D (*.f64 l d)) #<representation:binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
12.0ms
D
@-inf
((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1)) (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1) (* (* h -1/2) (* M D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (+ (* (* w0 -1/8) (/ (* (* (* h (* M M)) D) D) (* l (* d d)))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* D D) -1/8) (* D D) (* (/ (* (* M M) h) d) (/ w0 (* l d))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* D (/ (* (* M M) D) (* (* d d) l))) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) (* (/ D d) (/ D (* l d)))) (* -1/4 h)) (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* l (* d d)) (* (* h (* M M)) D) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (* (* M M) h) (/ (* (* M M) D) (* (* d d) l)) (* (* d d) l) (* (* M M) (* (/ D d) (/ D (* l d)))) (/ D (* l d)))
8.0ms
d
@-inf
((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1)) (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1) (* (* h -1/2) (* M D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (+ (* (* w0 -1/8) (/ (* (* (* h (* M M)) D) D) (* l (* d d)))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* D D) -1/8) (* D D) (* (/ (* (* M M) h) d) (/ w0 (* l d))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* D (/ (* (* M M) D) (* (* d d) l))) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) (* (/ D d) (/ D (* l d)))) (* -1/4 h)) (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* l (* d d)) (* (* h (* M M)) D) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (* (* M M) h) (/ (* (* M M) D) (* (* d d) l)) (* (* d d) l) (* (* M M) (* (/ D d) (/ D (* l d)))) (/ D (* l d)))
7.0ms
l
@inf
((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1)) (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1) (* (* h -1/2) (* M D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (+ (* (* w0 -1/8) (/ (* (* (* h (* M M)) D) D) (* l (* d d)))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* D D) -1/8) (* D D) (* (/ (* (* M M) h) d) (/ w0 (* l d))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* D (/ (* (* M M) D) (* (* d d) l))) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) (* (/ D d) (/ D (* l d)))) (* -1/4 h)) (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* l (* d d)) (* (* h (* M M)) D) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (* (* M M) h) (/ (* (* M M) D) (* (* d d) l)) (* (* d d) l) (* (* M M) (* (/ D d) (/ D (* l d)))) (/ D (* l d)))
6.0ms
M
@0
((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1)) (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1) (* (* h -1/2) (* M D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (+ (* (* w0 -1/8) (/ (* (* (* h (* M M)) D) D) (* l (* d d)))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* D D) -1/8) (* D D) (* (/ (* (* M M) h) d) (/ w0 (* l d))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* D (/ (* (* M M) D) (* (* d d) l))) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) (* (/ D d) (/ D (* l d)))) (* -1/4 h)) (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* l (* d d)) (* (* h (* M M)) D) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (* (* M M) h) (/ (* (* M M) D) (* (* d d) l)) (* (* d d) l) (* (* M M) (* (/ D d) (/ D (* l d)))) (/ D (* l d)))
6.0ms
l
@-inf
((* w0 (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1))) (sqrt (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1)) (+ (* (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M)) 1) (* (* h -1/2) (* M D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (+ (* (* w0 -1/8) (/ (* (* (* h (* M M)) D) D) (* l (* d d)))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* D D) -1/8) (* D D) (* (/ (* (* M M) h) d) (/ w0 (* l d))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* D (/ (* (* M M) D) (* (* d d) l))) (* -1/4 h)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* M M) (* (/ D d) (/ D (* l d)))) (* -1/4 h)) (/ (* (* h -1/2) (* M D)) (* l d)) (* (* (/ 1/2 d) D) M) (/ (* (* (* h (* M M)) D) D) (* l (* d d))) (* l (* d d)) (* (* h (* M M)) D) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (* (* M M) h) (/ (* (* M M) D) (* (* d d) l)) (* (* d d) l) (* (* M M) (* (/ D d) (/ D (* l d)))) (/ D (* l d)))

simplify380.0ms (2.7%)

Memory
-3.0MiB live, 380.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 468×lower-*.f64
8 468×lower-*.f32
6 640×lower-fma.f64
6 640×lower-fma.f32
4 640×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068236333
1235136194
0847835181
Stop Event
1×iter limit
1×node limit
Counts
1 584 → 1 528
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 w0)
(* -1/8 w0)
(* -1/8 w0)
(* -1/8 w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 w0)
(* -1/8 w0)
(* -1/8 w0)
(* -1/8 w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
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1
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1
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1
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1
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1
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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)))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(/ (* D (pow M 2)) (* (pow d 2) l))
(/ (* D (pow M 2)) (* (pow d 2) l))
(/ (* D (pow M 2)) (* (pow d 2) l))
(/ (* D (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ D (* d l))
(/ D (* d l))
(/ D (* d l))
(/ D (* d l))
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) w0) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) w0) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) w0) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
(* -1/8 w0)
(*.f64 #s(literal -1/8 binary64) w0)
(* -1/8 w0)
(*.f64 #s(literal -1/8 binary64) w0)
(* -1/8 w0)
(*.f64 #s(literal -1/8 binary64) w0)
(* -1/8 w0)
(*.f64 #s(literal -1/8 binary64) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) w0) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) w0) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) w0) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) w0) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) w0)
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) 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))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
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(* -1/2 (* D (* M h)))
(*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/2 binary64))
(* -1/2 (* D (* M h)))
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(* -1/2 (* D (* M h)))
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(* -1/2 (* D (* M h)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
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(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -1/8 (pow D 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(* -1/8 (pow D 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(* -1/8 (pow D 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(* -1/8 (pow D 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(pow D 2)
(*.f64 D D)
(pow D 2)
(*.f64 D D)
(pow D 2)
(*.f64 D D)
(pow D 2)
(*.f64 D D)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))))) D)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))) (pow.f64 D #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l)))))) D)
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(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (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)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (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)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(* -1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d)))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
(/ (* D (pow M 2)) (* (pow d 2) l))
(*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) l))
(/ (* D (pow M 2)) (* (pow d 2) l))
(*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) l))
(/ (* D (pow M 2)) (* (pow d 2) l))
(*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) l))
(/ (* D (pow M 2)) (* (pow d 2) l))
(*.f64 (/.f64 (/.f64 D d) d) (/.f64 (*.f64 M M) l))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ D (* d l))
(/.f64 D (*.f64 l d))
(/ D (* d l))
(/.f64 D (*.f64 l d))
(/ D (* d l))
(/.f64 D (*.f64 l d))
(/ D (* d l))
(/.f64 D (*.f64 l d))

rewrite229.0ms (1.6%)

Memory
3.9MiB live, 346.2MiB allocated
Rules
4 626×lower-*.f32
4 574×lower-*.f64
4 418×lower-/.f32
4 402×lower-/.f64
2 330×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078601
0123599
1428599
22976571
08135571
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
31 → 836
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)
(*.f64 w0 #s(literal -1/8 binary64))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h))
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)
(/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d)))
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 h (*.f64 M M)) D)
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)
(*.f64 (*.f64 M M) h)
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 d d) l)
(*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d))))
(/.f64 D (*.f64 l d))
Outputs
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 M (/.f64 D d)) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (/.f64 D d) l) D))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) D))) (*.f64 (neg.f64 d) l))
(/.f64 (neg.f64 (*.f64 D (*.f64 D (pow.f64 (/.f64 M d) #s(literal 2 binary64))))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 D (*.f64 M (*.f64 (neg.f64 D) M)))) (neg.f64 (*.f64 (neg.f64 l) (*.f64 d d))))
(/.f64 (neg.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) D)) (*.f64 (neg.f64 d) l))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 l) (*.f64 d d))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) D)) (neg.f64 (*.f64 (/.f64 (*.f64 d d) M) (/.f64 l (*.f64 D M)))))
(/.f64 (neg.f64 (*.f64 D #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 (*.f64 d d) M) (/.f64 l (*.f64 D M)))))
(/.f64 (neg.f64 (*.f64 M (*.f64 M (/.f64 D d)))) (neg.f64 (/.f64 (*.f64 d l) D)))
(/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d)) l)
(/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d l)) d)
(/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (*.f64 d l))
(/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) l) (*.f64 d d))
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) l) D) (*.f64 M M)) d)
(/.f64 (*.f64 (*.f64 (/.f64 D d) D) (*.f64 M M)) (*.f64 d l))
(/.f64 (*.f64 (*.f64 D (pow.f64 (/.f64 M d) #s(literal 2 binary64))) D) l)
(/.f64 (*.f64 (*.f64 M (*.f64 (neg.f64 D) M)) D) (*.f64 (neg.f64 l) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (/.f64 D l)) d)
(/.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (neg.f64 D)) (*.f64 (neg.f64 d) l))
(/.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (/.f64 (*.f64 d l) D))
(/.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (/.f64 D d) l) D)) d)
(/.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) D)) (*.f64 d l))
(/.f64 (*.f64 D (*.f64 D (pow.f64 (/.f64 M d) #s(literal 2 binary64)))) l)
(/.f64 (*.f64 D (*.f64 M (*.f64 (neg.f64 D) M))) (*.f64 (neg.f64 l) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) D) (*.f64 d l))
(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 (neg.f64 l) (*.f64 d d)))
(/.f64 (*.f64 #s(literal 1 binary64) D) (*.f64 (/.f64 (*.f64 d d) M) (/.f64 l (*.f64 D M))))
(/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 d d) M) (/.f64 l (*.f64 D M))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 d d) l) (pow.f64 (*.f64 D M) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 M (*.f64 M (/.f64 D d))) (/.f64 (*.f64 d l) D))
(/.f64 (neg.f64 D) (neg.f64 (*.f64 (/.f64 (*.f64 d d) M) (/.f64 l (*.f64 D M)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) l) (pow.f64 (*.f64 D M) #s(literal 2 binary64))))
(/.f64 D (*.f64 (/.f64 (*.f64 d d) M) (/.f64 l (*.f64 D M))))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (/.f64 D d))
(*.f64 (pow.f64 (*.f64 d l) #s(literal -1 binary64)) (pow.f64 (pow.f64 D #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 d l) #s(literal -1 binary64)) D)
(*.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 D l))
(*.f64 (/.f64 D l) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (neg.f64 D) (pow.f64 (*.f64 (neg.f64 d) l) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 D d) l))
(*.f64 D (pow.f64 (*.f64 d l) #s(literal -1 binary64)))
(pow.f64 (/.f64 d (/.f64 D l)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 d l) D) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 d l) D) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 D l))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 D))) (neg.f64 (neg.f64 (*.f64 (neg.f64 d) l))))
(/.f64 (neg.f64 (*.f64 D #s(literal 1 binary64))) (*.f64 (neg.f64 d) l))
(/.f64 (neg.f64 (/.f64 D d)) (neg.f64 l))
(/.f64 (neg.f64 (/.f64 D l)) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 D)) (neg.f64 (*.f64 (neg.f64 d) l)))
(/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 d l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (/.f64 D l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 d l) D) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d l) D)))
(/.f64 (/.f64 D l) d)
(/.f64 (neg.f64 D) (*.f64 (neg.f64 d) l))
(/.f64 (/.f64 D d) l)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 d l) D))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 D l)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d l) D) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d l) D))
(/.f64 D (*.f64 d l))
(neg.f64 (/.f64 (neg.f64 D) (*.f64 d l)))
(neg.f64 (/.f64 D (*.f64 (neg.f64 d) l)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d l) D)) #s(literal -1 binary64)))

eval317.0ms (2.3%)

Memory
55.8MiB live, 622.4MiB allocated
Compiler

Compiled 67 037 to 4 891 computations (92.7% saved)

prune123.0ms (0.9%)

Memory
13.0MiB live, 289.0MiB allocated
Pruning

38 alts after pruning (35 fresh and 3 done)

PrunedKeptTotal
New2 340242 364
Fresh121123
Picked415
Done022
Total2 356382 394
Accuracy
87.9%
Counts
2 394 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.2%
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
✓80.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))))
80.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) M) (/.f64 D (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
80.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) D) M) (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l d)) #s(literal 1 binary64))))
79.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))))
21.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) M) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
25.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (/.f64 D l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
✓17.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
15.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
20.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d l) d))) (*.f64 #s(literal -1/4 binary64) h)))))
26.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (/.f64 M (*.f64 d l)) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal -1/4 binary64) h)))))
23.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 M (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
59.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))
✓60.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
64.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) d) (/.f64 w0 l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
59.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l) d) d) w0))
56.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
55.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
52.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
58.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 d l)))) d) w0))
57.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) d) (/.f64 w0 (*.f64 l d))) w0))
54.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0))
54.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 d l)) (*.f64 M M)) (/.f64 h d)) w0))
56.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
67.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d l))) (/.f64 (*.f64 (*.f64 M M) h) d))) w0))
62.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0))
49.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
13.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
65.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d) (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d l)) w0)))
63.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) (*.f64 #s(literal -1/8 binary64) w0)) w0)))
64.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) (*.f64 d d)) w0)))
63.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) D) (*.f64 l (*.f64 d d))) w0)))
66.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
62.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) (*.f64 M M)) D) (*.f64 l (*.f64 d d))) w0)))
64.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
61.5%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d d)) (/.f64 D l)) w0)))
63.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (*.f64 (/.f64 D d) D)) w0)))
65.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
Compiler

Compiled 2 500 to 1 167 computations (53.3% saved)

regimes320.0ms (2.3%)

Memory
0.1MiB live, 478.3MiB allocated
Counts
77 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) (*.f64 M M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (*.f64 (/.f64 D d) D)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d d)) (/.f64 D l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) (*.f64 d d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d l))) (/.f64 (*.f64 (*.f64 M M) h) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 d l)) (*.f64 M M)) (/.f64 h d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 d l)))) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (/ (* (* M M) D) l) D) (* d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 M (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d l) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h M) (neg.f64 M))) (*.f64 (neg.f64 d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) (*.f64 #s(literal -1/8 binary64) w0)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) d) (/.f64 w0 l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (/.f64 M (*.f64 d l)) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) M) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (/.f64 D l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) D) M) (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) M) (/.f64 D (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #s(approx (/ (/ (* (* D M) -1/2) d) (pow h -1)) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d) (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d l)) w0)))
(*.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 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 h #s(literal -1 binary64)))))))
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
Calls

15 calls:

27.0ms
d
24.0ms
M
23.0ms
w0
23.0ms
l
22.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
86.6%1w0
86.6%1M
86.6%1D
86.6%1h
86.6%1l
86.6%1d
86.6%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
86.6%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
86.6%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
86.6%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.6%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
86.6%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.6%1(*.f64 M D)
86.6%1(*.f64 #s(literal 2 binary64) d)
86.6%1(/.f64 h l)
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes346.0ms (2.5%)

Memory
18.5MiB live, 548.7MiB allocated
Counts
72 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) (*.f64 M M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (*.f64 (/.f64 D d) D)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d d)) (/.f64 D l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) (*.f64 d d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d l))) (/.f64 (*.f64 (*.f64 M M) h) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 d l)) (*.f64 M M)) (/.f64 h d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 d l)))) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (/ (* (* M M) D) l) D) (* d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 M (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d l) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h M) (neg.f64 M))) (*.f64 (neg.f64 d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) (*.f64 #s(literal -1/8 binary64) w0)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) d) (/.f64 w0 l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (/.f64 M (*.f64 d l)) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) M) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (/.f64 D l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) D) M) (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) M) (/.f64 D (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #s(approx (/ (/ (* (* D M) -1/2) d) (pow h -1)) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) d))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) w0) d) (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d l)) w0)))
(*.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 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) l) (neg.f64 h) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))))
Calls

15 calls:

41.0ms
l
26.0ms
(-.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)))
26.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
25.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
24.0ms
d
Results
AccuracySegmentsBranch
86.6%1h
86.6%1w0
86.6%1D
86.6%1l
86.6%1d
86.6%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
86.6%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
86.6%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
86.6%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.6%1(*.f64 #s(literal 2 binary64) d)
86.6%1M
86.6%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
86.6%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.6%1(*.f64 M D)
86.6%1(/.f64 h l)
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes276.0ms (2%)

Memory
27.7MiB live, 420.4MiB allocated
Counts
64 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) (*.f64 M M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (*.f64 (/.f64 D d) D)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d d)) (/.f64 D l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) (*.f64 d d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d l))) (/.f64 (*.f64 (*.f64 M M) h) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 d l)) (*.f64 M M)) (/.f64 h d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 d l)))) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (/ (* (* M M) D) l) D) (* d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 M (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d l) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h M) (neg.f64 M))) (*.f64 (neg.f64 d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) (*.f64 #s(literal -1/8 binary64) w0)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) d) (/.f64 w0 l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (/.f64 M (*.f64 d l)) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) M) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (/.f64 D l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) D) M) (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) M) (/.f64 D (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #s(approx (/ (/ (* (* D M) -1/2) d) (pow h -1)) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) D) M) (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l d)) #s(literal 1 binary64))))
Calls

15 calls:

29.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
19.0ms
D
19.0ms
(*.f64 #s(literal 2 binary64) d)
19.0ms
(/.f64 h l)
18.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Results
AccuracySegmentsBranch
84.5%1h
84.5%1w0
84.5%1D
84.5%1l
84.5%1d
86.6%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)))))
86.6%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
86.6%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
86.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
84.5%1(*.f64 #s(literal 2 binary64) d)
84.5%1M
84.5%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
84.5%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
84.5%1(*.f64 M D)
84.5%1(/.f64 h l)
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes459.0ms (3.3%)

Memory
-59.9MiB live, 366.6MiB allocated
Counts
62 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) (*.f64 M M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (*.f64 (/.f64 D d) D)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d d)) (/.f64 D l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) (*.f64 d d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d l))) (/.f64 (*.f64 (*.f64 M M) h) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 d l)) (*.f64 M M)) (/.f64 h d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 d l)))) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (/ (* (* M M) D) l) D) (* d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 M (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d l) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h M) (neg.f64 M))) (*.f64 (neg.f64 d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) (*.f64 #s(literal -1/8 binary64) w0)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) d) (/.f64 w0 l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (/.f64 M (*.f64 d l)) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) M) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (/.f64 D l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) D) M) (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) M) (/.f64 D (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M D)) (*.f64 l d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))))
Calls

15 calls:

171.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
49.0ms
h
33.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
19.0ms
w0
18.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
83.8%1l
83.8%1w0
83.8%1M
85.3%2D
85.3%2(*.f64 M D)
83.8%1(/.f64 h l)
83.8%1h
83.8%1d
83.8%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
85.3%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
83.8%1(*.f64 #s(literal 2 binary64) d)
83.8%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
83.8%1(*.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)))))
85.3%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
85.3%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes257.0ms (1.8%)

Memory
35.1MiB live, 415.4MiB allocated
Counts
56 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) (*.f64 M M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (*.f64 (/.f64 D d) D)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d d)) (/.f64 D l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) (*.f64 d d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d l))) (/.f64 (*.f64 (*.f64 M M) h) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 d l)) (*.f64 M M)) (/.f64 h d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 d l)))) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (/ (* (* M M) D) l) D) (* d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 M (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d l) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h M) (neg.f64 M))) (*.f64 (neg.f64 d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) (*.f64 #s(literal -1/8 binary64) w0)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) d) (/.f64 w0 l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (/.f64 M (*.f64 d l)) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 D d) (/.f64 D (*.f64 l d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)) (/.f64 D d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) M) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) D) (*.f64 d d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 M M)) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 M D) (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (*.f64 D (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M (/.f64 D d))) (/.f64 D l)) d) (*.f64 #s(literal -1/4 binary64) h)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (/.f64 M (*.f64 d l)) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

15 calls:

31.0ms
l
19.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
18.0ms
w0
18.0ms
M
17.0ms
(*.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
72.4%2M
69.7%2l
67.9%1h
81.5%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))))
81.5%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)))
70.4%2w0
76.5%3(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
81.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
73.9%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
72.3%2(*.f64 M D)
72.1%2(/.f64 h l)
70.4%2d
70.4%2(*.f64 #s(literal 2 binary64) d)
71.5%2D
73.9%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes39.0ms (0.3%)

Memory
-5.1MiB live, 66.5MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) (*.f64 M M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (*.f64 (/.f64 D d) D)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d d)) (/.f64 D l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) (*.f64 d d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d l))) (/.f64 (*.f64 (*.f64 M M) h) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 d l)) (*.f64 M M)) (/.f64 h d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 d l)))) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (/ (* (* M M) D) l) D) (* d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 M (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d l) d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 h M) (neg.f64 M))) (*.f64 (neg.f64 d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) w0) D) D) (*.f64 l (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 h)) h)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) (*.f64 #s(literal -1/8 binary64) w0)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l) d) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) d) (/.f64 w0 l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 M (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

3 calls:

13.0ms
(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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
10.0ms
(-.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
78.0%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))))
78.0%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)))
78.0%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 44 to 44 computations (0% saved)

regimes37.0ms (0.3%)

Memory
33.1MiB live, 70.6MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) (*.f64 M M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (*.f64 (/.f64 D d) D)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d d)) (/.f64 D l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) (*.f64 d d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d l))) (/.f64 (*.f64 (*.f64 M M) h) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 d l)) (*.f64 M M)) (/.f64 h d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 d l)))) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (/ (* (* M M) D) l) D) (* d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

3 calls:

19.0ms
(-.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)))
8.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
8.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
Results
AccuracySegmentsBranch
74.5%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
74.5%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
75.6%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 44 to 44 computations (0% saved)

regimes11.0ms (0.1%)

Memory
-16.4MiB live, 19.7MiB allocated
Counts
30 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) (*.f64 M M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (*.f64 (/.f64 D d) D)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d d)) (/.f64 D l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) (*.f64 d d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d l))) (/.f64 (*.f64 (*.f64 M M) h) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 d l)) (*.f64 M M)) (/.f64 h d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 d l)))) d) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h M) (*.f64 M (/.f64 w0 (*.f64 d d)))) l) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M M) h)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) D) (*.f64 #s(literal -1/8 binary64) D) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 d l)))) d) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

10.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
75.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes26.0ms (0.2%)

Memory
9.1MiB live, 47.8MiB 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) (*.f64 M M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (*.f64 (/.f64 D d) D)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d d)) (/.f64 D l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) (*.f64 d d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d l))) (/.f64 (*.f64 (*.f64 M M) h) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 d l)) (*.f64 M M)) (/.f64 h d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) d) (/.f64 w0 (*.f64 l d))) w0))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) d) (/.f64 w0 (*.f64 l d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

4 calls:

8.0ms
(*.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)))))
6.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
6.0ms
(-.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)))
6.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
Results
AccuracySegmentsBranch
73.3%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
73.3%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
73.3%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
74.0%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 61 computations (1.6% saved)

regimes20.0ms (0.1%)

Memory
3.8MiB live, 42.6MiB allocated
Counts
22 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) (*.f64 M M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) d) (/ w0 (* l d)))) w0) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (*.f64 (/.f64 D d) D)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 d d)) (/.f64 D l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l) D) (*.f64 d d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d l))) (/.f64 (*.f64 (*.f64 M M) h) d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 d l)) (*.f64 M M)) (/.f64 h d)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

3 calls:

7.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
6.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
6.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
72.3%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
72.3%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
73.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes23.0ms (0.2%)

Memory
-2.3MiB live, 34.9MiB allocated
Counts
9 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h D) (*.f64 M M)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) D) (*.f64 (*.f64 d l) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 d (*.f64 (neg.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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

4 calls:

12.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
3.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
3.0ms
(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))))
3.0ms
(-.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
72.2%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))))
72.2%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)))
72.2%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
72.9%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 61 computations (1.6% saved)

regimes17.0ms (0.1%)

Memory
-5.0MiB live, 33.3MiB allocated
Counts
2 → 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)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

9 calls:

4.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
2.0ms
M
1.0ms
(/.f64 h l)
1.0ms
(*.f64 M D)
1.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Results
AccuracySegmentsBranch
70.6%2(/.f64 h l)
71.0%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
71.0%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
71.1%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
71.6%2(*.f64 M D)
70.3%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
70.5%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
71.6%2M
71.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 85 to 102 computations (-20% saved)

regimes24.0ms (0.2%)

Memory
-4.0MiB live, 74.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

15 calls:

4.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
3.0ms
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
M
1.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
60.3%1h
60.3%1l
60.3%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
60.3%1d
60.3%1(*.f64 #s(literal 2 binary64) d)
60.3%1w0
60.3%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
60.3%1(/.f64 h l)
60.3%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))))
60.3%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)))
60.3%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)))))
60.3%1D
60.3%1(*.f64 M D)
60.3%1M
60.3%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 93 to 140 computations (-50.5% saved)

bsearch1.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.6784614142167445e+277
4.6582419618545043e+303
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2202621498769515e-202
2.0808573387882606e-200
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-15313414804710337000.0
-4.3161826301773255e-37
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-15313414804710337000.0
-4.3161826301773255e-37
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-15313414804710337000.0
-4.3161826301773255e-37
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.016931742782036e+130
-4.2032469275806886e+109
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.016931742782036e+130
-4.2032469275806886e+109
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.016931742782036e+130
-4.2032469275806886e+109
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.5539770747264387e+99
-1.2255148060234013e+96
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.016931742782036e+130
-4.2032469275806886e+109
Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify136.0ms (1%)

Memory
-8.9MiB live, 111.5MiB allocated
Algorithm
1×egg-herbie
Rules
882×distribute-lft-neg-in-binary64-*.f64-neg.f64
726×neg-mul-1-binary64-*.f64-neg.f64
576×unsub-neg-binary64--.f64-neg.f64-+.f64
558×neg-sub0-binary64--.f64-neg.f64
456×distribute-lft-neg-out-binary64-neg.f64-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0173836
1247836
2279836
3323836
4351834
5396834
6476834
7627834
8946834
91542834
102132834
112622834
122959834
133164834
143197834
153211834
163221834
173297834
183317834
193330834
203334834
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 99999999999999996350686867959178558315902274782992576532314485486221746301240205812674342870820492799837784938001204037775189753543960218791943147793788145321066524580618236658968633362758090027700335311493754978334367629875739137498376013657689431411868208826074951744485326848 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) D) M) (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l d)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 -10000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (/.f64 M (*.f64 d l)) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -10000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 M (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l)))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -10000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 d l)))) d) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M h) M) d) (/.f64 w0 (*.f64 l d))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) (*.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 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 M D)) h) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)) h) #s(literal 1 binary64))) w0)
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 99999999999999996350686867959178558315902274782992576532314485486221746301240205812674342870820492799837784938001204037775189753543960218791943147793788145321066524580618236658968633362758090027700335311493754978334367629875739137498376013657689431411868208826074951744485326848 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) D) M) (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l d)) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))) #s(literal 99999999999999996350686867959178558315902274782992576532314485486221746301240205812674342870820492799837784938001204037775189753543960218791943147793788145321066524580618236658968633362758090027700335311493754978334367629875739137498376013657689431411868208826074951744485326848 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) D) M) (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 l d)) #s(literal 1 binary64))) w0))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 h (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 l d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2206260905240795/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) M) (*.f64 l d)) h) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -10000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (/.f64 M (*.f64 d l)) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -10000000000000000000 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) (/.f64 M (*.f64 l d))) D)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
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(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -10000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -10000000000000000000 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 #s(approx (/ (* (* (* M M) D) D) (* l (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M h) (*.f64 M (/.f64 w0 (*.f64 d l)))) d) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
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(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 w0 (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) M) d)) w0)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (neg.f64 M)) w0) (*.f64 d (*.f64 (neg.f64 d) l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 (*.f64 l d) d)) w0)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 D M)) D) (*.f64 l (*.f64 d d))) w0))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 #s(literal -1/8 binary64) w0) (/.f64 (*.f64 (*.f64 (*.f64 h M) (*.f64 D M)) D) (*.f64 (*.f64 d d) l)) w0))) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l))) w0))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (fma.f64 (*.f64 #s(literal -1/8 binary64) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 d d) l)) D) w0))) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)

soundness1.6s (11.1%)

Memory
-18.2MiB live, 982.9MiB allocated
Rules
10 584×lower-*.f64
10 584×lower-*.f32
10 466×lower-*.f64
10 466×lower-*.f32
8 912×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065935895
1228535665
0820534617
078601
0123599
1428599
22976571
08135571
061445
0103454
1329389
22660379
08222365
065534
0109534
1360484
22611482
08490469
01769
02669
18269
255069
3704769
0863569
06267690
121857668
084757462
068336524
1235436356
0849435324
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 1 063 to 717 computations (32.5% saved)

preprocess561.0ms (4%)

Memory
-26.0MiB live, 469.7MiB allocated
Remove

(negabs w0)

(abs d)

Compiler

Compiled 5 100 to 2 680 computations (47.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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