Henrywood and Agarwal, Equation (9a)

Time bar (total: 12.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze638.0ms (5%)

Memory
14.9MiB live, 859.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%99.7%0.3%0%0%0%4
0%0%99.7%0.3%0%0%0%5
0%0%99.7%0.3%0%0%0%6
12.5%12.5%87.2%0.3%0%0%0%7
12.5%12.5%87.2%0.3%0%0%0%8
12.5%12.5%87.2%0.3%0%0%0%9
12.5%12.5%87.2%0.3%0%0%0%10
12.5%12.5%87.2%0.3%0%0%0%11
18.8%18.7%81%0.3%0%0%0%12
Compiler

Compiled 20 to 19 computations (5% saved)

sample2.2s (16.8%)

Memory
1.5MiB live, 3 009.0MiB allocated
Samples
1.1s8 256×0valid
352.0ms2 689×0invalid
Precisions
Click to see histograms. Total time spent on operations: 941.0ms
ival-mult: 315.0ms (33.5% of total)
ival-div: 248.0ms (26.4% of total)
ival-pow2: 152.0ms (16.2% of total)
ival-sub: 122.0ms (13% of total)
ival-sqrt: 77.0ms (8.2% of total)
exact: 12.0ms (1.3% of total)
ival-true: 10.0ms (1.1% of total)
ival-assert: 5.0ms (0.5% of total)
Bogosity

explain211.0ms (1.6%)

Memory
19.3MiB live, 443.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
430-3(1.1717081938726158e-15 1.1351980542285948e+54 -3.77953337950754e+35 -1.0667385633905458e+214 -2.047703805042982e+64 -1.543891616868358e+248)(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
250-1(1.2795134687622771e-177 -5.352599758884084e-157 -1.419386769251603e-161 7.269507892795918e-219 3.420580478130022e-117 8.804727367738908e-89)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
240-0-(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))))
70-0-(*.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-rescue240
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow56
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))overflow54
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))overflow30
(*.f64 M D)overflow23
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow29
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow54
(/.f64 h l)overflow23
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o110
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n90
(*.f64 M D)overflow23
*.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*o70
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u20
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow56
(*.f64 M D)overflow23
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow29
(/.f64 h l)underflow32
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))u/n20
(*.f64 M D)underflow44
*.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))underflow104
(*.f64 M D)underflow44
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow51
(/.f64 h l)overflow23
Confusion
Predicted +Predicted -
+409
-10197
Precision
0.8
Recall
0.8163265306122449
Confusion?
Predicted +Predicted MaybePredicted -
+4009
-100197
Precision?
0.8
Recall?
0.8163265306122449
Freqs
test
numberfreq
0206
143
27
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms512×0valid
Compiler

Compiled 307 to 72 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 19.0ms (43.6% of total)
ival-div: 12.0ms (27.6% of total)
ival-pow2: 5.0ms (11.5% of total)
ival-sqrt: 4.0ms (9.2% of total)
ival-sub: 2.0ms (4.6% of total)
ival-true: 1.0ms (2.3% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)

preprocess145.0ms (1.1%)

Memory
-23.7MiB live, 193.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

eval10.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB allocated
Compiler

Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify133.0ms (1%)

Memory
19.7MiB live, 95.8MiB allocated
Algorithm
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)))))
Iterations

Useful iterations: 0 (0.0ms)

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

localize108.0ms (0.8%)

Memory
-7.2MiB live, 71.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.6742818265306252
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy5.6217730279951414
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy5.641799628347191
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy9.914744143620185
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Samples
73.0ms256×0valid
Compiler

Compiled 192 to 36 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 39.0ms (75.8% of total)
ival-mult: 6.0ms (11.7% of total)
ival-pow2: 3.0ms (5.8% of total)
ival-sqrt: 2.0ms (3.9% of total)
ival-sub: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series153.0ms (1.2%)

Memory
-16.8MiB live, 94.1MiB 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>) () ())) ())
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Calls

18 calls:

TimeVariablePointExpression
33.0ms
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)))
22.0ms
w0
@-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)))
6.0ms
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)))
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)))

simplify269.0ms (2.1%)

Memory
22.6MiB live, 138.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06267690
121857668
084757462
Stop Event
iter limit
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))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
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1
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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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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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rewrite250.0ms (1.9%)

Memory
3.9MiB live, 125.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01769
02669
18269
255069
3704769
0863569
Stop Event
iter limit
node limit
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
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eval207.0ms (1.6%)

Memory
12.1MiB live, 159.6MiB allocated
Compiler

Compiled 20 475 to 2 864 computations (86% saved)

prune133.0ms (1%)

Memory
-16.5MiB live, 113.2MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New67715692
Fresh000
Picked011
Done000
Total67716693
Accuracy
91.1%
Counts
693 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(/.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))))
87.3%
(*.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))))
78.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
73.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) M) (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M) #s(literal 1 binary64))))
82.9%
(*.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))))
89.6%
(*.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))))
78.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))))))
81.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
81.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))))))
81.4%
(*.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 M d)) (*.f64 D #s(literal 1/2 binary64))))))
57.6%
(*.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)))))))
57.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
15.7%
(*.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)))))
55.1%
(*.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))))
67.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
51.9%
#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 700 to 599 computations (14.4% saved)

simplify134.0ms (1%)

Memory
5.6MiB live, 82.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))))
cost-diff0
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))))))
cost-diff704
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))
cost-diff0
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff128
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 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 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
cost-diff128
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
cost-diff320
(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))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065578
0111584
1228584
2796556
35587556
08042556
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 (/.f64 M d) h)
(/.f64 M d)
h
(neg.f64 l)
l
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 D d)
D
d
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))
(*.f64 (*.f64 #s(literal 1/2 binary64) M) D)
(*.f64 #s(literal 1/2 binary64) M)
#s(literal 1/2 binary64)
M
D
(*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))
(/.f64 l h)
l
h
(*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))
(*.f64 d (/.f64 d M))
d
(/.f64 d M)
(/.f64 #s(literal 2 binary64) D)
#s(literal 2 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.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 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 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 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
(fma.f64 (*.f64 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 #s(literal 1/2 binary64) d) M) D)
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(*.f64 M (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(*.f64 (/.f64 (*.f64 (*.f64 h (/.f64 M d)) D) l) #s(literal -1/2 binary64))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 (/.f64 M d) h)
(*.f64 h (/.f64 M d))
(/.f64 M d)
h
(neg.f64 l)
l
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (/.f64 (*.f64 (*.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 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 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 d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 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 d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 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 d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 M (*.f64 #s(literal -1/4 binary64) (/.f64 h l))))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 D d)) M) M)
(/.f64 D d)
D
d
(*.f64 (*.f64 M M) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 M M))
(*.f64 M M)
M
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 M (/.f64 D l)) h) (*.f64 (/.f64 d M) d))) D #s(literal -1 binary64)))) w0)
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))))
(sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 M (/.f64 D l)) h) (*.f64 (/.f64 d M) d))) D #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 M (/.f64 D l)) h) (*.f64 (/.f64 d M) d))) D #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 M (/.f64 D l)) h) (*.f64 (/.f64 d M) d))) D)
(*.f64 (*.f64 #s(literal 1/2 binary64) M) D)
(*.f64 (*.f64 M #s(literal 1/2 binary64)) D)
(*.f64 #s(literal 1/2 binary64) M)
(*.f64 M #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
M
D
(*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))
(*.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) l) h) d) (/.f64 d M))
(/.f64 l h)
l
h
(*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) d) (/.f64 d M))
(*.f64 d (/.f64 d M))
(*.f64 (/.f64 d M) d)
d
(/.f64 d M)
(/.f64 #s(literal 2 binary64) D)
#s(literal 2 binary64)

localize231.0ms (1.8%)

Memory
14.6MiB live, 209.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy5.0872281724806285
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))
accuracy5.6217730279951414
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))))
accuracy7.023533180779761
(*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))
accuracy10.134168835030225
(*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))
accuracy1.6742818265306252
(*.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))))
accuracy5.6217730279951414
(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)))
accuracy8.287258164181907
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy9.785892006053546
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
accuracy5.6217730279951414
(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))))
accuracy7.333293516247172
(*.f64 l (*.f64 d d))
accuracy15.225200361585621
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
accuracy41.2153772114479
#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)))
accuracy1.6742818265306252
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy20.927448573921986
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy4.636676150293665
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
accuracy4.815408695920648
(*.f64 (/.f64 M d) h)
accuracy5.6217730279951414
(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)))
accuracy5.706198993084784
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
Samples
173.0ms256×0valid
Compiler

Compiled 1 029 to 122 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-mult: 60.0ms (54.6% of total)
ival-div: 33.0ms (30% of total)
ival-sqrt: 7.0ms (6.4% of total)
ival-pow2: 3.0ms (2.7% of total)
ival-add: 2.0ms (1.8% of total)
ival-sub: 2.0ms (1.8% of total)
ival-neg: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series313.0ms (2.4%)

Memory
-44.3MiB live, 255.5MiB allocated
Counts
25 → 1 428
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) (patch (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))) (patch (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))) (patch #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (patch (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 M d) h) (patch (*.f64 (/.f64 M d) h) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))) (patch (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)) (patch (*.f64 (*.f64 d (/.f64 d M)) (/.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 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) 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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) 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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) 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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))))) (patch (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor inf w0) (#s(alt (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf d) (#s(alt (*.f64 (/.f64 M d) h) (patch (*.f64 (/.f64 M d) h) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf d) (#s(alt (*.f64 (/.f64 M d) h) (patch (*.f64 (/.f64 M d) h) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf d) (#s(alt (*.f64 (/.f64 M d) h) (patch (*.f64 (/.f64 M d) h) #<representation binary64>) () ())) ())
#s(alt (/ (* M h) d) (taylor -inf d) (#s(alt (*.f64 (/.f64 M d) h) (patch (*.f64 (/.f64 M d) h) #<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>) () ())) ())
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#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
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#s(alt (* (pow d 2) l) (taylor -inf d) (#s(alt (*.f64 l (*.f64 d d)) (patch (*.f64 l (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (pow M 2)) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 2 (/ (* (pow d 2) l) (* D (* M h)))) (taylor -inf d) (#s(alt (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))) (patch (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))) #<representation binary64>) () ())) ())
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#s(alt (* 2 (/ (* (pow d 2) l) (* D (* M h)))) (taylor -inf d) (#s(alt (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))) (patch (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow d 2) (* D M))) (taylor -inf d) (#s(alt (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)) (patch (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow d 2) (* D M))) (taylor -inf d) (#s(alt (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)) (patch (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow d 2) (* D M))) (taylor -inf d) (#s(alt (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)) (patch (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow d 2) (* D M))) (taylor -inf d) (#s(alt (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)) (patch (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
30.0ms
d
@inf
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (* (/ l h) (* (* d (/ d M)) (/ 2 D))) (* (* d (/ d M)) (/ 2 D)))
15.0ms
D
@0
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (* (/ l h) (* (* d (/ d M)) (/ 2 D))) (* (* d (/ d M)) (/ 2 D)))
13.0ms
M
@0
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (* (/ l h) (* (* d (/ d M)) (/ 2 D))) (* (* d (/ d M)) (/ 2 D)))
13.0ms
M
@-inf
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (* (/ l h) (* (* d (/ d M)) (/ 2 D))) (* (* d (/ d M)) (/ 2 D)))
7.0ms
d
@0
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ (* (* (* M M) D) D) (* l (* d d))) (* -1/4 h)) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (* (* D 1/2) (* (/ M d) h)) (* (/ M d) h) (/ (* (* (* M M) D) D) (* l (* d d))) (* l (* d d)) (* (/ D d) (* (* M M) 1/4)) (* (/ l h) (* (* d (/ d M)) (/ 2 D))) (* (* d (/ d M)) (/ 2 D)))

simplify444.0ms (3.4%)

Memory
20.6MiB live, 413.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065937260
1228537024
0822235976
Stop Event
iter limit
node limit
Counts
1 428 → 1 393
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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1
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w0
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1
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1
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1
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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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1
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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))))
(* -1/2 (/ (* 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))))
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1
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w0
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1
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w0
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1
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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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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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d 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)))
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w0
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
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(+ 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 h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 2 (/ (* (pow d 2) l) (* D (* M h))))
(* 2 (/ (* (pow d 2) l) (* D (* M h))))
(* 2 (/ (* (pow d 2) l) (* D (* M h))))
(* 2 (/ (* (pow d 2) l) (* D (* M h))))
(* 2 (/ (pow d 2) (* D M)))
(* 2 (/ (pow d 2) (* D M)))
(* 2 (/ (pow d 2) (* D M)))
(* 2 (/ (pow d 2) (* D M)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* -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)))))))
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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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
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1
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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 h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* M h) d)
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 2 (/ (* (pow d 2) l) (* D (* M h))))
(* 2 (/ (* (pow d 2) l) (* D (* M h))))
(* 2 (/ (* (pow d 2) l) (* D (* M h))))
(* 2 (/ (* (pow d 2) l) (* D (* M h))))
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Outputs
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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)
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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)
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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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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* 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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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow M 2) (+ (* -1/4 (/ (* (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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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* 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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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(*.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)))
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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))))))
(*.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)))
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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 (/ (* D (* (pow M 2) h)) (* d l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.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 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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(+ 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
#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 #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)))
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
#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 h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(/ (* M h) d)
(/.f64 (*.f64 h M) d)
(/ (* M h) d)
(/.f64 (*.f64 h M) d)
(/ (* M h) d)
(/.f64 (*.f64 h M) d)
(/ (* M h) d)
(/.f64 (*.f64 h M) d)
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 l (*.f64 d d)))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* (pow d 2) l)
(*.f64 l (*.f64 d d))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M D) M) d) #s(literal 1/4 binary64))
(* 2 (/ (* (pow d 2) l) (* D (* M h))))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 d d) D)) (/.f64 l (*.f64 h M)))
(* 2 (/ (* (pow d 2) l) (* D (* M h))))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 d d) D)) (/.f64 l (*.f64 h M)))
(* 2 (/ (* (pow d 2) l) (* D (* M h))))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 d d) D)) (/.f64 l (*.f64 h M)))
(* 2 (/ (* (pow d 2) l) (* D (* M h))))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 d d) D)) (/.f64 l (*.f64 h M)))
(* 2 (/ (pow d 2) (* D M)))
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 (*.f64 d d) D))
(* 2 (/ (pow d 2) (* D M)))
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 (*.f64 d d) D))
(* 2 (/ (pow d 2) (* D M)))
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 (*.f64 d d) D))
(* 2 (/ (pow d 2) (* D M)))
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 (*.f64 d d) D))

rewrite237.0ms (1.8%)

Memory
22.1MiB live, 254.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065461
0111467
1353431
22762421
09053418
Stop Event
iter limit
node limit
iter limit
Counts
25 → 580
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h))
(*.f64 (/.f64 M d) h)
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(*.f64 l (*.f64 d d))
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))
(*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))
Outputs
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eval264.0ms (2.1%)

Memory
-13.3MiB live, 649.2MiB allocated
Compiler

Compiled 61 473 to 3 572 computations (94.2% saved)

prune85.0ms (0.7%)

Memory
23.9MiB live, 265.8MiB allocated
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1 955181 973
Fresh8210
Picked325
Done101
Total1 967221 989
Accuracy
91.1%
Counts
1 989 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(/.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))))
88.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))))
80.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) l) h) (neg.f64 (*.f64 (/.f64 D (*.f64 (*.f64 (/.f64 d M) d) #s(literal 2 binary64))) D)) #s(literal 1 binary64))))
81.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
82.9%
(*.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))))
88.1%
(*.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 h M) d)) (neg.f64 l)) #s(literal 1 binary64))))
89.6%
(*.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))))
83.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64))))
80.3%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))))
50.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (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)))))
58.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (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)))))
14.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
16.5%
(*.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)))))
18.9%
(*.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)))))
18.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) D) d)) (*.f64 #s(literal -1/4 binary64) h)))))
16.0%
(*.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)))))
18.1%
(*.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)))))
20.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
15.9%
(*.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)))))
55.1%
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (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))))
67.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
51.9%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 962 to 807 computations (16.1% saved)

simplify109.0ms (0.8%)

Memory
-17.7MiB live, 194.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)))
cost-diff0
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff0
#s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))
cost-diff0
(sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
cost-diff384
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff0
(*.f64 D D)
cost-diff0
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d))) w0)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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
(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 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64))))
cost-diff128
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l))
cost-diff192
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085761
0131761
1288761
21022745
36502742
08269738
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
d
M
D
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d))
(*.f64 D #s(literal 1/2 binary64))
(/.f64 (*.f64 h M) d)
(*.f64 h M)
h
(neg.f64 l)
l
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
(*.f64 (*.f64 l d) d)
(*.f64 l d)
l
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
w0
(sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))
#s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
(*.f64 D D)
D
#s(literal -1/4 binary64)
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/.f64 h (*.f64 d d))
h
(*.f64 d d)
d
(/.f64 (*.f64 M M) l)
(*.f64 M M)
M
l
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(*.f64 #s(literal -1/4 binary64) (/.f64 D d))
#s(literal -1/4 binary64)
(/.f64 D d)
D
d
(/.f64 (*.f64 h (*.f64 M M)) l)
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
l
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 1/4 binary64))) l))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 1/4 binary64))) l)))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 1/4 binary64))) 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
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) h) (/.f64 (/.f64 M d) l))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d))
(*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))
(*.f64 D #s(literal 1/2 binary64))
(/.f64 (*.f64 h M) d)
(*.f64 h M)
h
(neg.f64 l)
l
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 D (*.f64 (*.f64 l 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 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 D (*.f64 (*.f64 l 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 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 h (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 D (*.f64 (*.f64 l d) d)) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 h (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 D (*.f64 (*.f64 l d) d)) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d))
(*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 l d) d)) M) (*.f64 D M))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
(*.f64 (*.f64 l d) d)
(*.f64 l d)
l
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 h (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 D (*.f64 (*.f64 l d) d)) #s(literal -1/4 binary64))))) w0)
w0
(sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))
(sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 h (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 D (*.f64 (*.f64 l d) d)) #s(literal -1/4 binary64)))))
#s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))
#s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 h (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 D (*.f64 (*.f64 l d) d)) #s(literal -1/4 binary64))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(*.f64 (*.f64 h (*.f64 (*.f64 M M) D)) (*.f64 (/.f64 D (*.f64 (*.f64 l d) d)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
(*.f64 D D)
D
#s(literal -1/4 binary64)
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 h M) l))
(/.f64 h (*.f64 d d))
h
(*.f64 d d)
d
(/.f64 (*.f64 M M) l)
(*.f64 M M)
M
l
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) h) (/.f64 (/.f64 D l) d))) (/.f64 D d) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) h) (/.f64 (/.f64 D l) d))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) h) (/.f64 (/.f64 D l) d))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) h) (/.f64 (/.f64 D l) d)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) h) (/.f64 (/.f64 D l) d))
(*.f64 #s(literal -1/4 binary64) (/.f64 D d))
(*.f64 (/.f64 D d) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(/.f64 D d)
D
d
(/.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
#s(literal 1 binary64)

localize199.0ms (1.5%)

Memory
2.0MiB live, 481.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.6217730279951414
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64)))
accuracy6.0196588071871755
(/.f64 (*.f64 h (*.f64 M M)) l)
accuracy7.152312665477161
(*.f64 h (*.f64 M M))
accuracy8.487459875098866
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
accuracy7.632642697054546
(/.f64 h (*.f64 d d))
accuracy12.027363464908682
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
accuracy15.826073049619664
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
accuracy41.2153772114479
#s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))
accuracy5.539445800413412
(*.f64 (*.f64 M M) D)
accuracy5.6217730279951414
(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))))
accuracy15.225200361585621
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d))
accuracy41.2153772114479
#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)))
accuracy8.338891261437558
(/.f64 w0 (*.f64 d d))
accuracy12.064078449623937
(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)
accuracy13.156709778891603
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
accuracy13.304608314024836
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
accuracy4.313292419885141
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
accuracy4.636676150293665
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l))
accuracy5.6217730279951414
(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 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))
accuracy5.706198993084784
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d))
Samples
144.0ms256×0valid
Compiler

Compiled 1 158 to 139 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-mult: 59.0ms (55.4% of total)
ival-div: 29.0ms (27.2% of total)
ival-sqrt: 7.0ms (6.6% of total)
ival-add: 4.0ms (3.8% of total)
ival-pow2: 3.0ms (2.8% of total)
ival-sub: 2.0ms (1.9% of total)
ival-neg: 2.0ms (1.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series236.0ms (1.8%)

Memory
-15.9MiB live, 546.8MiB allocated
Counts
31 → 1 608
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) (patch (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) (patch (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) (patch (*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))) (patch (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))) (patch #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (patch #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h 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 (*.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 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) D) (patch (*.f64 (*.f64 M M) D) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (patch (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #<representation binary64>) () ())
#s(alt (/.f64 h (*.f64 d d)) (patch (/.f64 h (*.f64 d d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)) #<representation binary64>) () ())
#s(alt (*.f64 h (*.f64 M M)) (patch (*.f64 h (*.f64 M M)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 h (*.f64 M M)) l) (patch (/.f64 (*.f64 h (*.f64 M M)) l) #<representation binary64>) () ())
Outputs
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) (taylor 0 w0) (#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h 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 (/.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 (/ (* (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 M 2)) (* (pow d 2) l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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 (*.f64 l d) d)) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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 (*.f64 l d) d)) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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 (*.f64 l d) d)) (patch (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (patch (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (patch (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (patch (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow M 2) h) (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (patch (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #<representation binary64>) () ())) ())
#s(alt (/ h (pow d 2)) (taylor -inf d) (#s(alt (/.f64 h (*.f64 d d)) (patch (/.f64 h (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ h (pow d 2)) (taylor -inf d) (#s(alt (/.f64 h (*.f64 d d)) (patch (/.f64 h (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ h (pow d 2)) (taylor -inf d) (#s(alt (/.f64 h (*.f64 d d)) (patch (/.f64 h (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ h (pow d 2)) (taylor -inf d) (#s(alt (/.f64 h (*.f64 d d)) (patch (/.f64 h (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
26.0ms
h
@inf
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1) (/ (* (* D 1/2) (/ (* h M) d)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1)) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* 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) (* (* l d) d)) (* -1/4 h)) (* (* (* D D) -1/4) (* (/ h (* d d)) (/ (* M M) l))) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* (* D 1/2) (/ (* h M) d)) (* (* (/ 1/2 d) M) D) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (* -1/4 (/ D d)) (/ (* h (* M M)) l)) (* h (* M M)) (/ (* h (* M M)) l))
22.0ms
M
@0
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1) (/ (* (* D 1/2) (/ (* h M) d)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1)) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* 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) (* (* l d) d)) (* -1/4 h)) (* (* (* D D) -1/4) (* (/ h (* d d)) (/ (* M M) l))) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* (* D 1/2) (/ (* h M) d)) (* (* (/ 1/2 d) M) D) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (* -1/4 (/ D d)) (/ (* h (* M M)) l)) (* h (* M M)) (/ (* h (* M M)) l))
7.0ms
D
@0
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1) (/ (* (* D 1/2) (/ (* h M) d)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1)) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* 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) (* (* l d) d)) (* -1/4 h)) (* (* (* D D) -1/4) (* (/ h (* d d)) (/ (* M M) l))) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* (* D 1/2) (/ (* h M) d)) (* (* (/ 1/2 d) M) D) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (* -1/4 (/ D d)) (/ (* h (* M M)) l)) (* h (* M M)) (/ (* h (* M M)) l))
7.0ms
d
@0
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1) (/ (* (* D 1/2) (/ (* h M) d)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1)) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* 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) (* (* l d) d)) (* -1/4 h)) (* (* (* D D) -1/4) (* (/ h (* d d)) (/ (* M M) l))) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* (* D 1/2) (/ (* h M) d)) (* (* (/ 1/2 d) M) D) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (* -1/4 (/ D d)) (/ (* h (* M M)) l)) (* h (* M M)) (/ (* h (* M M)) l))
6.0ms
h
@-inf
((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1) (/ (* (* D 1/2) (/ (* h M) d)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (/ (* h M) d)) (neg l))) 1)) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* 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) (* (* l d) d)) (* -1/4 h)) (* (* (* D D) -1/4) (* (/ h (* d d)) (/ (* M M) l))) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (* (* D 1/2) (/ (* h M) d)) (* (* (/ 1/2 d) M) D) (* (/ (* h (* M M)) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* (* -1/4 (/ D d)) (/ (* h (* M M)) l)) (* h (* M M)) (/ (* h (* M M)) l))

simplify289.0ms (2.2%)

Memory
35.4MiB live, 587.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068537652
1235737484
0851136452
Stop Event
iter limit
node limit
Counts
1 608 → 1 566
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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1
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w0
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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
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(* -1/2 (/ (* D (* M h)) (* d l)))
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w0
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1
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w0
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w0
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w0
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1
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1
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w0
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1
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1
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w0
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1
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1
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(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
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(* 1/2 (/ (* D M) d))
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(* 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))
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(/ (* (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 M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
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1
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w0
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1
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w0
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w0
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w0
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1
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1
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w0
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1
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1
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w0
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1
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1
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(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D M) 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))
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(/ (* (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 M 2) h) (* (pow d 2) l))
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Outputs
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (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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(* (/ (* 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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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -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))
(*.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)))
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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)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* (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)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.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))))))
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(+.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) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))) (*.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)))))) (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 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))
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 -1/128 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)))) (*.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)))))) (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 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 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(/ (* (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 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 M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))
(/ h (pow d 2))
(/.f64 h (*.f64 d d))
(/ h (pow d 2))
(/.f64 h (*.f64 d d))
(/ h (pow d 2))
(/.f64 h (*.f64 d d))
(/ h (pow d 2))
(/.f64 h (*.f64 d d))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))

rewrite200.0ms (1.6%)

Memory
-29.5MiB live, 410.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085634
0131634
1454624
23612624
09866620
Stop Event
iter limit
node limit
iter limit
Counts
31 → 633
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l))
(*.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 h M) d)) (neg.f64 l)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d)) (neg.f64 l)) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l 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 (*.f64 l 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 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))
(*.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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))
#s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.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 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l)))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h M) d))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)
(*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (/.f64 w0 (*.f64 d d)))
(/.f64 w0 (*.f64 d d))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d))
(*.f64 (*.f64 M M) D)
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/.f64 h (*.f64 d d))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(*.f64 h (*.f64 M M))
(/.f64 (*.f64 h (*.f64 M M)) l)
Outputs
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eval576.0ms (4.5%)

Memory
-97.7MiB live, 765.7MiB allocated
Compiler

Compiled 66 470 to 4 380 computations (93.4% saved)

prune86.0ms (0.7%)

Memory
22.2MiB live, 260.4MiB allocated
Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New2 281242 305
Fresh12315
Picked415
Done112
Total2 298292 327
Accuracy
91.1%
Counts
2 327 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(/.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))))
88.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))))
84.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) h) (*.f64 (neg.f64 l) d)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))))
88.1%
(*.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 h M) d)) (neg.f64 l)) #s(literal 1 binary64))))
79.5%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))))
77.8%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
82.8%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h M) M) l))) (/.f64 D d) #s(literal 1 binary64))))
85.3%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (*.f64 (*.f64 h M) (/.f64 M l)))) (/.f64 D d) #s(literal 1 binary64))))
58.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (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)))))
18.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/4 binary64) D)))))
15.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 d d))))))
19.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D l)) D) d) (*.f64 #s(literal -1/4 binary64) h)))))
18.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D d)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) h)))))
18.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
20.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) (*.f64 #s(literal -1/4 binary64) h)))))
18.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 l d) d)))) (*.f64 #s(literal -1/4 binary64) h)))))
67.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
52.4%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) w0))
65.2%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
59.6%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
54.0%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) w0) (*.f64 l (*.f64 (neg.f64 d) d))) w0))
55.6%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0))
52.3%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
51.9%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) w0)) #s(literal -1 binary64)))) w0))
55.8%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (pow.f64 d #s(literal -2 binary64))) (pow.f64 l #s(literal -1 binary64))) w0))
57.5%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))) w0))
64.8%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
49.8%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
11.7%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 1 262 to 1 047 computations (17% saved)

simplify111.0ms (0.9%)

Memory
-17.3MiB live, 154.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff128
(*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D))
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l 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 D M) M) D) (*.f64 (*.f64 l 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 D M) M) D) (*.f64 (*.f64 l 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 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
cost-diff0
(*.f64 D D)
cost-diff0
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
cost-diff0
(*.f64 w0 #s(literal -1/8 binary64))
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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0))
cost-diff0
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
cost-diff384
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))))
cost-diff128
(/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l))
cost-diff320
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100795
0153793
1345788
21295771
36102761
08609759
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d))
(/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l))
(*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64))
(*.f64 (*.f64 h (/.f64 M d)) D)
(*.f64 h (/.f64 M d))
h
(/.f64 M d)
M
d
D
#s(literal 1/2 binary64)
(neg.f64 l)
l
(/.f64 #s(literal 1/2 binary64) d)
(*.f64 D M)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
(*.f64 w0 #s(literal -1/8 binary64))
w0
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M))
(*.f64 h (*.f64 D D))
h
(*.f64 D D)
D
(*.f64 M M)
M
(*.f64 l (*.f64 d d))
l
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h 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 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d)))
(/.f64 (*.f64 (*.f64 h M) M) l)
(*.f64 (*.f64 h M) M)
(*.f64 h M)
h
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 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l 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 D M) M) D) (*.f64 (*.f64 l 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 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d))
(*.f64 (*.f64 (*.f64 D M) M) D)
(*.f64 (*.f64 D M) M)
(*.f64 D M)
D
M
(*.f64 (*.f64 l d) d)
(*.f64 l d)
l
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d)))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))
(*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D))
(*.f64 (*.f64 (neg.f64 h) M) M)
(*.f64 (neg.f64 h) M)
(neg.f64 h)
h
M
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
D
(*.f64 (neg.f64 l) d)
(neg.f64 l)
l
d
(/.f64 D d)
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 D (*.f64 (/.f64 M d) h))) (*.f64 (/.f64 D d) M) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 D (*.f64 (/.f64 M d) h))) (*.f64 (/.f64 D d) M) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 D (*.f64 (/.f64 M d) h))) (*.f64 (/.f64 D d) M) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) l) d) (*.f64 D (*.f64 (/.f64 M d) h)))
(/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal -1/2 binary64)) l) h)
(*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 (/.f64 M d) h)))
(*.f64 (*.f64 h (/.f64 M d)) D)
(*.f64 D (*.f64 (/.f64 M d) h))
(*.f64 h (/.f64 M d))
(*.f64 (/.f64 M d) h)
h
(/.f64 M d)
M
d
D
#s(literal 1/2 binary64)
(neg.f64 l)
l
(/.f64 #s(literal 1/2 binary64) d)
(*.f64 D M)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 l d)) (*.f64 M (*.f64 M (/.f64 (*.f64 (*.f64 D D) h) 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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0))
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 l d)) (*.f64 M (*.f64 M (/.f64 (*.f64 (*.f64 D D) h) d))) #s(literal 1 binary64)) w0))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 l d)) (*.f64 M (*.f64 M (/.f64 (*.f64 (*.f64 D D) h) 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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d)))
(*.f64 (/.f64 (*.f64 D h) l) (/.f64 (/.f64 (*.f64 (*.f64 M M) D) d) d))
(*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M))
(*.f64 (*.f64 D h) (*.f64 (*.f64 M M) D))
(*.f64 h (*.f64 D D))
(*.f64 (*.f64 D D) h)
h
(*.f64 D D)
D
(*.f64 M M)
M
(*.f64 l (*.f64 d d))
(*.f64 (*.f64 d d) l)
l
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 l d)) (*.f64 M (*.f64 M (/.f64 (*.f64 (*.f64 D D) h) d))) #s(literal 1 binary64)) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0)
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 l d)) (*.f64 M (*.f64 M (/.f64 (*.f64 (*.f64 D D) h) 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 h M) M) l) (/.f64 w0 (*.f64 d d)))
(*.f64 (/.f64 (/.f64 w0 (*.f64 d d)) l) (*.f64 (*.f64 M h) M))
(/.f64 (*.f64 (*.f64 h M) M) l)
(/.f64 (*.f64 (*.f64 M h) M) l)
(*.f64 (*.f64 h M) M)
(*.f64 (*.f64 M h) M)
(*.f64 h M)
(*.f64 M h)
h
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 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l 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 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M M) D) D)) l) (/.f64 (/.f64 h d) d)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l 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 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M M) D) D)) l) (/.f64 (/.f64 h d) d))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M M) D) D)) l) (/.f64 (/.f64 h d) d)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M M) D) D)) l) (/.f64 (/.f64 h d) d))
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d))
(*.f64 (/.f64 (*.f64 (*.f64 D D) M) l) (/.f64 (/.f64 M d) d))
(*.f64 (*.f64 (*.f64 D M) M) D)
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 D M) M)
(*.f64 (*.f64 M M) D)
(*.f64 D M)
D
M
(*.f64 (*.f64 l d) d)
(*.f64 (*.f64 d d) l)
(*.f64 l d)
l
d
(*.f64 #s(literal -1/4 binary64) h)
#s(literal -1/4 binary64)
h
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 D d) #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 M h) M) l))) d)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 D d) #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 M h) M) l))) d)) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (/.f64 D d) #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 M h) M) l))) d)) #s(literal 1 binary64))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d)))
#s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 M h) M) l))) d))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))
(/.f64 (*.f64 D (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 M h) M) l))) d)
(*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (*.f64 M h))
(*.f64 (*.f64 (neg.f64 h) M) M)
(*.f64 (neg.f64 h) M)
(neg.f64 h)
h
M
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
D
(*.f64 (neg.f64 l) d)
(neg.f64 l)
l
d
(/.f64 D d)
#s(literal 1 binary64)

localize247.0ms (1.9%)

Memory
-0.1MiB live, 343.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.6742818265306252
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))))
accuracy5.6217730279951414
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64)))
accuracy6.753159211272669
(*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D))
accuracy9.995537672808279
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))
accuracy5.046130624228179
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))
accuracy5.6217730279951414
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))))
accuracy15.225200361585621
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d))
accuracy41.2153772114479
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))
accuracy8.338891261437558
(/.f64 w0 (*.f64 d d))
accuracy12.064078449623937
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0)
accuracy13.156709778891603
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
accuracy13.304608314024836
(*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d)))
accuracy7.349752876808763
(*.f64 h (*.f64 D D))
accuracy13.156709778891603
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
accuracy13.477606877201856
(*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M))
accuracy15.9100919592181
(/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d)))
accuracy4.636676150293665
(/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l))
accuracy4.815408695920648
(*.f64 h (/.f64 M d))
accuracy5.6217730279951414
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64)))
accuracy5.719410289517534
(*.f64 (*.f64 h (/.f64 M d)) D)
Samples
173.0ms256×0valid
Compiler

Compiled 1 206 to 157 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-mult: 67.0ms (49.1% of total)
ival-div: 48.0ms (35.2% of total)
ival-sqrt: 8.0ms (5.9% of total)
ival-add: 6.0ms (4.4% of total)
ival-pow2: 3.0ms (2.2% of total)
ival-sub: 2.0ms (1.5% of total)
ival-neg: 2.0ms (1.5% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series218.0ms (1.7%)

Memory
22.7MiB live, 262.6MiB allocated
Counts
29 → 1 524
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (patch (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0))) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.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 h (*.f64 D D)) (*.f64 M M)) (*.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 h (*.f64 D D)) (*.f64 M M)) (*.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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h 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 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0) (patch (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h 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 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l 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 D M) M) D) (*.f64 (*.f64 l 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 D M) M) D) (*.f64 (*.f64 l 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 D M) M) D) (*.f64 (*.f64 l 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 D M) M) D) (*.f64 (*.f64 l 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 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) (patch (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (patch (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) #<representation binary64>) () ())
#s(alt (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 h (/.f64 M d)) D) (patch (*.f64 (*.f64 h (/.f64 M d)) D) #<representation binary64>) () ())
#s(alt (*.f64 h (/.f64 M d)) (patch (*.f64 h (/.f64 M d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) (patch (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (patch (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) #<representation binary64>) () ())
#s(alt (*.f64 h (*.f64 D D)) (patch (*.f64 h (*.f64 D D)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) (patch (*.f64 (/.f64 (*.f64 (*.f64 h 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 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (patch (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d)) (patch (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.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 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 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 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 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 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 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 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64)))) (patch (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64)))) #<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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0) (patch (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0) #<representation binary64>) () ())) ())
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Calls

18 calls:

TimeVariablePointExpression
15.0ms
h
@inf
((* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (* w0 (sqrt (+ (* (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (* D M)) 1))) (sqrt (+ (* (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (* D M)) 1)) (+ (* (* w0 -1/8) (/ (* (* h (* D D)) (* M M)) (* l (* d d)))) w0) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* 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))) (* (/ (* (* (* D M) M) D) (* (* l d) d)) (* -1/4 h)) (* (* (* (neg h) M) M) (* -1/4 D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (* h (/ M d)) D) (* h (/ M d)) (/ (* (* h (* D D)) (* M M)) (* l (* d d))) (* (* h (* D D)) (* M M)) (* h (* D D)) (* (/ (* (* h M) M) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* D M) M) D) (* (* l d) d)) (/ (* (* (* (neg h) M) M) (* -1/4 D)) (* (neg l) d)))
11.0ms
M
@-inf
((* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (* w0 (sqrt (+ (* (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (* D M)) 1))) (sqrt (+ (* (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (* D M)) 1)) (+ (* (* w0 -1/8) (/ (* (* h (* D D)) (* M M)) (* l (* d d)))) w0) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* 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))) (* (/ (* (* (* D M) M) D) (* (* l d) d)) (* -1/4 h)) (* (* (* (neg h) M) M) (* -1/4 D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (* h (/ M d)) D) (* h (/ M d)) (/ (* (* h (* D D)) (* M M)) (* l (* d d))) (* (* h (* D D)) (* M M)) (* h (* D D)) (* (/ (* (* h M) M) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* D M) M) D) (* (* l d) d)) (/ (* (* (* (neg h) M) M) (* -1/4 D)) (* (neg l) d)))
6.0ms
h
@-inf
((* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (* w0 (sqrt (+ (* (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (* D M)) 1))) (sqrt (+ (* (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (* D M)) 1)) (+ (* (* w0 -1/8) (/ (* (* h (* D D)) (* M M)) (* l (* d d)))) w0) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* 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))) (* (/ (* (* (* D M) M) D) (* (* l d) d)) (* -1/4 h)) (* (* (* (neg h) M) M) (* -1/4 D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (* h (/ M d)) D) (* h (/ M d)) (/ (* (* h (* D D)) (* M M)) (* l (* d d))) (* (* h (* D D)) (* M M)) (* h (* D D)) (* (/ (* (* h M) M) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* D M) M) D) (* (* l d) d)) (/ (* (* (* (neg h) M) M) (* -1/4 D)) (* (neg l) d)))
6.0ms
D
@-inf
((* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (* w0 (sqrt (+ (* (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (* D M)) 1))) (sqrt (+ (* (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (* D M)) 1)) (+ (* (* w0 -1/8) (/ (* (* h (* D D)) (* M M)) (* l (* d d)))) w0) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* 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))) (* (/ (* (* (* D M) M) D) (* (* l d) d)) (* -1/4 h)) (* (* (* (neg h) M) M) (* -1/4 D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (* h (/ M d)) D) (* h (/ M d)) (/ (* (* h (* D D)) (* M M)) (* l (* d d))) (* (* h (* D D)) (* M M)) (* h (* D D)) (* (/ (* (* h M) M) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* D M) M) D) (* (* l d) d)) (/ (* (* (* (neg h) M) M) (* -1/4 D)) (* (neg l) d)))
6.0ms
M
@inf
((* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (* w0 (sqrt (+ (* (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (* D M)) 1))) (sqrt (+ (* (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (* D M)) 1)) (+ (* (* w0 -1/8) (/ (* (* h (* D D)) (* M M)) (* l (* d d)))) w0) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* D D) -1/8) (* (/ (* h (* M M)) l) (/ w0 (* d d)))) w0) (* w0 -1/8) (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (+ (* (* (* 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))) (* (/ (* (* (* D M) M) D) (* (* l d) d)) (* -1/4 h)) (* (* (* (neg h) M) M) (* -1/4 D)) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/ D d)) 1) (* (* h (/ M d)) D) (* h (/ M d)) (/ (* (* h (* D D)) (* M M)) (* l (* d d))) (* (* h (* D D)) (* M M)) (* h (* D D)) (* (/ (* (* h M) M) l) (/ w0 (* d d))) (/ w0 (* d d)) (/ (* (* (* D M) M) D) (* (* l d) d)) (/ (* (* (* (neg h) M) M) (* -1/4 D)) (* (neg l) d)))

simplify259.0ms (2%)

Memory
1.8MiB live, 437.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068435431
1236235316
0855134348
Stop Event
iter limit
node limit
Counts
1 524 → 1 468
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 (+ 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 (+ 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))))))
(* 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))))))
(/ (* (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))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow 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 (+ 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))))))
(* 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))))))
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
(/ w0 (pow d 2))
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(/ w0 (pow d 2))
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(* -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)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* -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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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(/ (* (pow M 2) (* h w0)) (* (pow d 2) l))
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(/ w0 (pow d 2))
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(* -1/4 (/ (* D (* M h)) (* (pow d 2) l)))
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(* -1/4 (/ (* D (* M h)) (* (pow d 2) l)))
(* -1/4 (/ (* D (* M 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)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -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
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1
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w0
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w0
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w0
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1
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w0
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1
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1
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(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ w0 (pow d 2))
(/ (* (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))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
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 (+ 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 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 (+ 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 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 (+ 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 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)
(/ (* (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))
(* 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 (+ 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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(* -1/8 w0)
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w0
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#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(/ (* D (* M h)) d)
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(/ (* M h) d)
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(/ (* M h) d)
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* (pow M 2) (+ (* -1/8 (/ (* (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 (+ (* -1/8 (* (/ (* (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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(* (/ (* 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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(* (/ (* 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))))))
(*.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 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 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) M) D))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* 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)))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (* D (* (pow M 2) h)))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal 1/4 binary64))
(* 1/4 (* D (* (pow M 2) h)))
(*.f64 (*.f64 (*.f64 h (*.f64 M M)) D) #s(literal 1/4 binary64))
(* 1/4 (* D (* (pow M 2) h)))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (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)))))))
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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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(* (/ (* 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)
(* -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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(* (/ (* 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)))))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* -1/8 (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))
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(* -1/8 (pow D 2))
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(pow D 2)
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(*.f64 D D)
(pow D 2)
(*.f64 D D)
(pow D 2)
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (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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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) l) l) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))) (*.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)))))) (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
(+ 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)
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 -1/128 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)))) (*.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)))))) (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 D D) d) (/.f64 (*.f64 h (*.f64 M M)) 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 D D) d) (/.f64 (*.f64 h (*.f64 M M)) 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 D D) d) (/.f64 (*.f64 h (*.f64 M M)) 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 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)))
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 -1/128 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)))) (*.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)))))) (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 D D) d) (/.f64 (*.f64 h (*.f64 M M)) 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 D D) d) (/.f64 (*.f64 h (*.f64 M M)) 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 D D) d) (/.f64 (*.f64 h (*.f64 M M)) 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 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))
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/ (* M h) d)
(/.f64 (*.f64 h M) d)
(/ (* M h) d)
(/.f64 (*.f64 h M) d)
(/ (* M h) d)
(/.f64 (*.f64 h M) d)
(/ (* M h) d)
(/.f64 (*.f64 h M) 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) (* (pow M 2) h)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.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)))
(/ (* (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 M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 l (*.f64 d d)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))
(* -1/4 (/ (* D (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))

rewrite187.0ms (1.5%)

Memory
-16.1MiB live, 221.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100605
0153603
1547568
24074568
08181566
Stop Event
iter limit
node limit
iter limit
Counts
29 → 600
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d))
(/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64)))
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0))
(*.f64 w0 #s(literal -1/8 binary64))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h 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 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l 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 D M) M) D) (*.f64 (*.f64 l 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 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h))
(*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))
(*.f64 (*.f64 h (/.f64 M d)) D)
(*.f64 h (/.f64 M d))
(/.f64 (*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 h (*.f64 D D)) (*.f64 M M))
(*.f64 h (*.f64 D D))
(*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d)))
(/.f64 w0 (*.f64 d d))
(/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))
Outputs
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eval255.0ms (2%)

Memory
51.0MiB live, 426.1MiB allocated
Compiler

Compiled 60 304 to 4 113 computations (93.2% saved)

prune120.0ms (0.9%)

Memory
-25.4MiB live, 272.2MiB allocated
Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New2 062242 086
Fresh13922
Picked415
Done112
Total2 080352 115
Accuracy
91.1%
Counts
2 115 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(/.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))))
82.8%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 D d) #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 (*.f64 M h) M) l))) #s(literal 1 binary64))) w0)
86.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64))))
84.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 l d))) (*.f64 D M) #s(literal 1 binary64))))
72.4%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D (*.f64 d d))) (/.f64 (*.f64 h M) l))) (*.f64 D M) #s(literal 1 binary64))))
77.8%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
78.2%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 l d)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) D) #s(literal -1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
81.2%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) #s(literal -1/4 binary64)) (/.f64 D (*.f64 (neg.f64 l) d)))) (/.f64 D d) #s(literal 1 binary64))))
18.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/4 binary64) D)))))
15.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 d d))))))
19.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D l)) D) d) (*.f64 #s(literal -1/4 binary64) h)))))
18.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D d)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) h)))))
18.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)))))
23.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
20.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
18.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 l d) d)))) (*.f64 #s(literal -1/4 binary64) h)))))
67.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
66.4%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
62.0%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) w0) d) d) w0))
60.0%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M h) M)) (*.f64 l d)) w0))
54.0%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 (*.f64 d d) l)) w0))
55.6%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0))
52.3%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) w0)) #s(literal -1 binary64)))) w0))
59.4%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
56.2%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (pow.f64 d #s(literal -2 binary64))) (pow.f64 l #s(literal -1 binary64))) w0))
53.2%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M h) M) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
64.8%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
11.7%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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))))))
65.6%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 l d)) w0)))
50.8%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) M) (*.f64 l (*.f64 d d))) w0)))
58.9%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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) (*.f64 D h)) D) (*.f64 l (*.f64 d d))) w0)))
58.9%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
60.5%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.f64 l d))) w0)))
57.6%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0)))
52.3%
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))
Compiler

Compiled 2 573 to 1 183 computations (54% saved)

regimes557.0ms (4.3%)

Memory
-29.0MiB live, 501.0MiB allocated
Counts
82 → 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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) (*.f64 D h)) D) (*.f64 l (*.f64 d d))) w0)))
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#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M h) M) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
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#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 (*.f64 d d) l)) w0))
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#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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.f64 l d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M h) M)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
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(*.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 h M) d)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) l) h) (neg.f64 (*.f64 (/.f64 D (*.f64 (*.f64 (/.f64 d M) d) #s(literal 2 binary64))) D)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/2 binary64)) (neg.f64 l)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 l d)) 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 (/.f64 (neg.f64 h) l) M) (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M) #s(literal 1 binary64))))
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (pow.f64 d #s(literal -2 binary64))) (pow.f64 l #s(literal -1 binary64))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (pow.f64 d #s(literal -2 binary64))) (pow.f64 l #s(literal -1 binary64))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h (*.f64 M M)) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) w0)) #s(literal -1 binary64)))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) w0)) #s(literal -1 binary64)))) w0))
(/.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))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
Calls

15 calls:

180.0ms
(*.f64 #s(literal 2 binary64) d)
50.0ms
w0
39.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
29.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
26.0ms
l
Results
AccuracySegmentsBranch
89.6%1w0
89.6%1M
89.6%1D
89.6%1h
89.6%1l
89.6%1d
89.6%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)))))
89.6%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))))
89.6%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)))
89.6%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
89.6%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
89.6%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
89.6%1(*.f64 M D)
89.6%1(*.f64 #s(literal 2 binary64) d)
89.6%1(/.f64 h l)
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes307.0ms (2.4%)

Memory
32.0MiB live, 379.0MiB allocated
Counts
67 → 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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) (*.f64 D h)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) M) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M h) M) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) w0) (*.f64 l (*.f64 (neg.f64 d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.f64 l d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M h) M)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (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 (*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 l 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 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l 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 M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 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 D M) M) D) (*.f64 (*.f64 l 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 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (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)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) w0) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) 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 D M) (*.f64 l d)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.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 M M) D) (/.f64 D d)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/4 binary64) D)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (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)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D (*.f64 d d))) (/.f64 (*.f64 h M) l))) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
(*.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 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) #s(literal -1/4 binary64)) (/.f64 D (*.f64 (neg.f64 l) d)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 D M) (/.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 (/.f64 (*.f64 M M) d) (/.f64 D l)) D) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 l d))) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (*.f64 (*.f64 h M) (/.f64 M l)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h M) M) l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 D d) #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 (*.f64 M h) M) l))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 l d)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) D) #s(literal -1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) h) (*.f64 (neg.f64 l) d)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h M) M) l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64))))
Calls

15 calls:

40.0ms
l
25.0ms
d
22.0ms
D
20.0ms
(*.f64 #s(literal 2 binary64) d)
20.0ms
w0
Results
AccuracySegmentsBranch
87.9%2w0
87.9%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
88.6%2D
88.2%2(*.f64 M D)
88.3%2l
86.3%1d
88.0%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
88.0%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))))
88.0%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)))
86.3%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.3%1(*.f64 #s(literal 2 binary64) d)
88.1%2M
86.3%1h
87.9%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.3%1(/.f64 h l)
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes21.0ms (0.2%)

Memory
1.7MiB live, 38.8MiB allocated
Counts
58 → 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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) (*.f64 D h)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) M) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M h) M) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) w0) (*.f64 l (*.f64 (neg.f64 d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.f64 l d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M h) M)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (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 (*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 l 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 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l 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 M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 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 D M) M) D) (*.f64 (*.f64 l 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 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (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)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) w0) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) 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 D M) (*.f64 l d)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.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 M M) D) (/.f64 D d)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/4 binary64) D)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (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)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D (*.f64 d d))) (/.f64 (*.f64 h M) l))) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
(*.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 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) #s(literal -1/4 binary64)) (/.f64 D (*.f64 (neg.f64 l) d)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 D M) (/.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 (/.f64 (*.f64 M M) d) (/.f64 D l)) D) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 l d))) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (*.f64 (*.f64 h M) (/.f64 M l)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 h (*.f64 M M)) l))) (/.f64 D d) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (*.f64 (*.f64 h M) (/.f64 M l)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64))))
Calls

1 calls:

18.0ms
D
Results
AccuracySegmentsBranch
88.6%2D
Compiler

Compiled 1 to 6 computations (-500% saved)

regimes197.0ms (1.5%)

Memory
10.7MiB live, 313.0MiB allocated
Counts
56 → 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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) (*.f64 D h)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) M) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M h) M) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) w0) (*.f64 l (*.f64 (neg.f64 d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.f64 l d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M h) M)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (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 (*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 l 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 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l 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 M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 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 D M) M) D) (*.f64 (*.f64 l 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 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (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)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) w0) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) 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 D M) (*.f64 l d)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.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 M M) D) (/.f64 D d)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/4 binary64) D)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (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)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D (*.f64 d d))) (/.f64 (*.f64 h M) l))) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
(*.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 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) #s(literal -1/4 binary64)) (/.f64 D (*.f64 (neg.f64 l) d)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (neg.f64 l) d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 D M) (/.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 (/.f64 (*.f64 M M) d) (/.f64 D l)) D) d) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 l d))) (*.f64 D M) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64))))
Calls

11 calls:

26.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
19.0ms
l
19.0ms
h
19.0ms
w0
18.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Results
AccuracySegmentsBranch
86.3%1h
86.3%1w0
86.3%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
86.3%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.3%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)))))
86.3%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))))
86.3%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)))
86.3%1M
86.3%1(*.f64 M D)
86.3%1l
86.3%1D
Compiler

Compiled 73 to 106 computations (-45.2% saved)

regimes260.0ms (2%)

Memory
32.3MiB live, 401.7MiB allocated
Counts
49 → 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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) (*.f64 D h)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) M) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M h) M) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) w0) (*.f64 l (*.f64 (neg.f64 d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.f64 l d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M h) M)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (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 (*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 l 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 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l 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 M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 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 D M) M) D) (*.f64 (*.f64 l 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 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (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)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) w0) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) 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 D M) (*.f64 l d)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.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 M M) D) (/.f64 D d)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 d d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/4 binary64) D)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (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)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (* (* (* h (/ M d)) D) 1/2) (neg l)) (/ 1/2 d)) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D (*.f64 d d))) (/.f64 (*.f64 h M) l))) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) l)) (*.f64 d d))))))
(*.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)))))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

15 calls:

27.0ms
(*.f64 M D)
25.0ms
(*.f64 #s(literal 2 binary64) d)
24.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
18.0ms
(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))))
17.0ms
d
Results
AccuracySegmentsBranch
79.6%2(*.f64 M D)
77.8%1w0
77.8%1M
79.4%2D
81.2%3(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
85.5%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))))
85.5%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)))
82.0%3(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
77.8%1l
81.9%3d
85.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
82.0%3(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
81.9%3(*.f64 #s(literal 2 binary64) d)
81.8%3(/.f64 h l)
77.8%1h
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes32.0ms (0.2%)

Memory
-0.5MiB live, 77.4MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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) (*.f64 D h)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) M) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M h) M) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) w0) (*.f64 l (*.f64 (neg.f64 d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.f64 l d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M h) M)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (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 (*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 l 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 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l 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 M) (/.f64 (*.f64 D M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 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 D M) M) D) (*.f64 (*.f64 l 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 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)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))) (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)))))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M h) M) l) w0) d) d) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 D (*.f64 l d)) (/.f64 (*.f64 (*.f64 M M) 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 (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l 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:

10.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
10.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
9.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
83.2%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
83.2%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
83.2%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)

regimes35.0ms (0.3%)

Memory
-26.9MiB live, 85.8MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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) (*.f64 D h)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) M) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M h) M) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) w0) (*.f64 l (*.f64 (neg.f64 d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.f64 l d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M h) M)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (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 (*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 l 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 (*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 l 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:

17.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
8.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
7.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Results
AccuracySegmentsBranch
81.0%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))))
81.0%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)))
81.0%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)

regimes65.0ms (0.5%)

Memory
14.1MiB live, 91.9MiB allocated
Counts
28 → 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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) (*.f64 D h)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) M) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M h) M) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) w0) (*.f64 l (*.f64 (neg.f64 d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.f64 l d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M h) M)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (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)))))
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

6 calls:

23.0ms
(*.f64 #s(literal 2 binary64) d)
8.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
8.0ms
d
8.0ms
(/.f64 h l)
8.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Results
AccuracySegmentsBranch
73.1%2(/.f64 h l)
75.8%2d
75.8%2(*.f64 #s(literal 2 binary64) d)
78.3%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
78.3%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
79.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 36 to 55 computations (-52.8% saved)

regimes82.0ms (0.6%)

Memory
5.7MiB live, 122.4MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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) (*.f64 D h)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) M) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M h) M) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) w0) (*.f64 l (*.f64 (neg.f64 d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.f64 l d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 w0 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 d) (*.f64 (*.f64 M h) M)) (*.f64 l d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (*.f64 M (/.f64 M l))) D) (*.f64 #s(literal -1/8 binary64) D) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (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))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 d d)) h) (/.f64 (*.f64 M M) l)) (*.f64 #s(literal -1/8 binary64) (*.f64 D 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D)))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.f64 l d))) w0)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

10 calls:

9.0ms
w0
9.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
8.0ms
D
8.0ms
M
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)))))
Results
AccuracySegmentsBranch
75.3%2M
71.6%3l
69.7%2w0
70.7%2h
75.7%2D
77.7%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
77.7%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
76.0%2(*.f64 M D)
77.6%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)))))
78.7%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 70 to 98 computations (-40% saved)

regimes15.0ms (0.1%)

Memory
-13.2MiB live, 25.1MiB allocated
Counts
14 → 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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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) (*.f64 D h)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) M) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M h) M) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) w0) (*.f64 l (*.f64 (neg.f64 d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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))))) (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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0)))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0)))
Calls

3 calls:

6.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
4.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
4.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
77.9%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
77.9%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
77.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes14.0ms (0.1%)

Memory
-15.3MiB live, 23.2MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.f64 (*.f64 d d) l))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D h) (*.f64 (*.f64 M M) D)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 h (*.f64 D D)) (*.f64 M M)) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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) (*.f64 D h)) D) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) M) (*.f64 l (*.f64 d d))) w0)))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M h) M) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M h) M) w0) (*.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) M) M) w0) (*.f64 l (*.f64 (neg.f64 d) d))) w0))
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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))))) (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))
Outputs
#s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.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

3 calls:

5.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
4.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
4.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
77.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
77.4%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
77.4%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes208.0ms (1.6%)

Memory
-0.8MiB live, 40.2MiB 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:

189.0ms
h
1.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms
(*.f64 #s(literal 2 binary64) d)
1.0ms
l
1.0ms
d
Results
AccuracySegmentsBranch
67.5%1w0
67.5%1l
67.5%1h
67.5%1(/.f64 h l)
67.5%1M
67.5%1D
67.5%1d
67.5%1(*.f64 #s(literal 2 binary64) d)
67.5%1(*.f64 M D)
67.5%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
67.5%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
67.5%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
67.5%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
67.5%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
67.5%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)

bsearch3.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
6.808926575053138e-60
1.3747830865277473e-58
Samples
2.0ms16×0valid
Compiler

Compiled 65 to 65 computations (0% saved)

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

bsearch3.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
6.808926575053138e-60
1.3747830865277473e-58
Samples
1.0ms16×0valid
Compiler

Compiled 109 to 104 computations (4.6% saved)

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

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-95043757.70847313
-3.419906952458155e-28
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-95043757.70847313
-3.419906952458155e-28
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-389011427.4312672
-95043757.70847313
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.002485689556316e+62
-1.8457081612123524e+45
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.54137089638882e+172
-2.2378702631302312e+169
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.846902173623082e+147
7.935570131561364e+148
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.54137089638882e+172
-2.2378702631302312e+169
Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify36.0ms (0.3%)

Memory
19.9MiB live, 58.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174795
1231795
2244795
3263795
4295795
5323795
6340795
7348795
8349795
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(if (<=.f64 D #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h M) M) l))) (/.f64 D d) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64)))))
(if (<=.f64 D #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (*.f64 (*.f64 h M) (/.f64 M l)))) (/.f64 D d) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #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 -50000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l 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 -200000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 l 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 -500000000000000028928979971363484913696689344587520219086323712 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 -20000000000000001653743257142116047352872553930304470672653068617665342788622713458745463328244347793434385285046531376697860133668799545398951154360213100458157779359629312 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.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 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) 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 -20000000000000001653743257142116047352872553930304470672653068617665342788622713458745463328244347793434385285046531376697860133668799545398951154360213100458157779359629312 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.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 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 (*.f64 (*.f64 h (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (neg.f64 l)) #s(literal 1 binary64))) w0)
(if (<=.f64 D #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (/.f64 (*.f64 (*.f64 h M) M) l))) (/.f64 D d) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64)))))
(if (<=.f64 D #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (/.f64 (*.f64 (*.f64 h M) M) l) (*.f64 (/.f64 D d) #s(literal -1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64))) w0))
(if (<=.f64 D #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D d)) (*.f64 (*.f64 h M) (/.f64 M l)))) (/.f64 D d) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64)))))
(if (<=.f64 D #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D d) (* (* M M) 1/4))) (*.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 (/.f64 D d) #s(literal -1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64))) w0) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64))) w0))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D (*.f64 (/.f64 M d) h)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M d)) D) #s(literal 1/4 binary64)) (*.f64 (neg.f64 l) d)) (*.f64 D M) #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 -50000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 D (/.f64 M d))) (*.f64 #s(literal -1/4 binary64) h))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -50000000 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (*.f64 D M) (*.f64 l d)))))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -50000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l 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 -50000000 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 l d) d)) (*.f64 D M)) M) (*.f64 #s(literal -1/4 binary64) h)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 l 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 -200000000 binary64)) (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 l d) d))) D) (*.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 -500000000000000028928979971363484913696689344587520219086323712 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 -500000000000000028928979971363484913696689344587520219086323712 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 -20000000000000001653743257142116047352872553930304470672653068617665342788622713458745463328244347793434385285046531376697860133668799545398951154360213100458157779359629312 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) d) (/.f64 M (*.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 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) #s(literal -20000000000000001653743257142116047352872553930304470672653068617665342788622713458745463328244347793434385285046531376697860133668799545398951154360213100458157779359629312 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) M) d)) w0))) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) (*.f64 l d)) (/.f64 (*.f64 M M) d)) w0))))
(if (<=.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 M M) d) (/.f64 (*.f64 (*.f64 D D) h) (*.f64 l d))) 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 -20000000000000001653743257142116047352872553930304470672653068617665342788622713458745463328244347793434385285046531376697860133668799545398951154360213100458157779359629312 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 D D) h) M) (/.f64 M (*.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 -20000000000000001653743257142116047352872553930304470672653068617665342788622713458745463328244347793434385285046531376697860133668799545398951154360213100458157779359629312 binary64)) #s(approx (* w0 (sqrt (- 1 (/ (* (* 1/2 M) D) (* (/ l h) (* (* d (/ d M)) (/ 2 D))))))) #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 M (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 (*.f64 D D) h) M)) 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)

soundness1.5s (11.7%)

Memory
2.2MiB live, 1 138.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100605
0153603
1547568
24074568
08181566
065461
0111467
1353431
22762421
09053418
068537652
1235737484
0851136452
06267690
121857668
084757462
085634
0131634
1454624
23612624
09866620
065937260
1228537024
0822235976
01769
02669
18269
255069
3704769
0863569
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 258 to 845 computations (32.8% saved)

preprocess303.0ms (2.4%)

Memory
31.1MiB live, 521.6MiB allocated
Remove

(negabs w0)

(abs d)

Compiler

Compiled 2 434 to 1 578 computations (35.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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