Henrywood and Agarwal, Equation (9a)

Time bar (total: 10.1s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze779.0ms (7.7%)

Memory
-10.9MiB live, 717.6MiB allocated; 140ms collecting garbage
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)

sample2.4s (24.1%)

Memory
85.1MiB live, 2 599.5MiB allocated; 449ms collecting garbage
Samples
1.2s8 256×0valid
371.0ms2 800×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 441.0ms (43.3% of total)
ival-div: 246.0ms (24.2% of total)
ival-sqrt: 114.0ms (11.2% of total)
ival-pow2: 113.0ms (11.1% of total)
ival-sub: 79.0ms (7.8% of total)
exact: 10.0ms (1% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
adjust: 3.0ms (0.3% of total)
Bogosity

explain224.0ms (2.2%)

Memory
-8.4MiB live, 381.4MiB allocated; 75ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
460-2(4.088442559467513e+80 -3.2796497477304947e+137 7.457995785109064e-53 2.1303945664275162e+219 -7.024915481711347e+146 -2.8535485007652854e+245)(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
200-0-(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))))
200-2(9.212000870131859e-52 5.775927066155495e-237 -1.4930306028746124e-74 3.0321948987393628e+258 -9.663042041047471e-303 2.9157814747105172e-124)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
30-0-(*.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-rescue200
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow47
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))overflow46
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))overflow26
(*.f64 M D)overflow18
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow18
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow46
(/.f64 h l)overflow25
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o90
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n60
(*.f64 M D)overflow18
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))u*o50
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow108
(*.f64 M D)underflow38
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow59
(/.f64 h l)overflow25
*.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*o30
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u10
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow47
(*.f64 M D)overflow18
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow18
(/.f64 h l)underflow28
Confusion
Predicted +Predicted -
+3112
-9204
Precision
0.775
Recall
0.7209302325581395
Confusion?
Predicted +Predicted MaybePredicted -
+31012
-90204
Precision?
0.775
Recall?
0.7209302325581395
Freqs
test
numberfreq
0216
136
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
88.0ms512×0valid
Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 12.0ms (39% of total)
ival-div: 7.0ms (22.7% of total)
ival-pow2: 5.0ms (16.2% of total)
ival-sqrt: 3.0ms (9.7% of total)
ival-sub: 2.0ms (6.5% of total)
exact: 1.0ms (3.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess237.0ms (2.4%)

Memory
-29.3MiB live, 237.5MiB allocated; 160ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167501
1461492
21474492
34405492
01718
02618
14718
212218
387318
4542818
0841118
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)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 6 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.5%
(*.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)

simplify96.0ms (1%)

Memory
8.3MiB live, 145.4MiB allocated; 16ms collecting garbage
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
212295
387395
4542895
0841195
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

localize49.0ms (0.5%)

Memory
-28.9MiB live, 118.6MiB allocated; 9ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.7402506371056524
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy4.231432952026284
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy4.702352362825022
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy10.591443448962112
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Samples
39.0ms256×0valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (40.2% of total)
ival-div: 3.0ms (20.1% of total)
ival-sqrt: 2.0ms (13.4% of total)
ival-pow2: 2.0ms (13.4% of total)
ival-sub: 1.0ms (6.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series71.0ms (0.7%)

Memory
0.7MiB live, 233.6MiB allocated; 16ms collecting garbage
Counts
5 → 89
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
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/4 (/ (* (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))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* D (+ (* 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 (+ (* 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) 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 (+ (* 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))))))))
(+ 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 (* 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)))))))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (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 (+ (* -1/8 (/ (* (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 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
Calls

18 calls:

TimeVariablePointExpression
8.0ms
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)))
7.0ms
M
@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)))
5.0ms
D
@-inf
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
4.0ms
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)))
4.0ms
d
@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)))

simplify175.0ms (1.7%)

Memory
8.5MiB live, 338.4MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06264390
124074334
084404188
Stop Event
iter limit
node limit
Counts
89 → 88
Calls
Call 1
Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/4 (/ (* (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))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* D (+ (* 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 (+ (* 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) 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 (+ (* 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))))))))
(+ 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 (* 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)))))))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (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 (+ (* -1/8 (/ (* (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 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 w0 l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (*.f64 M M) l)) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))))) (*.f64 M M) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (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 (/.f64 h l) (/.f64 h l))))) (*.f64 M M) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) w0) (*.f64 (*.f64 d d) l))) (*.f64 M M) w0)
1
#s(literal 1 binary64)
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 (*.f64 d d) l)))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (*.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 (/.f64 h (pow.f64 d #s(literal 4 binary64))) (/.f64 h (*.f64 l l))))) (*.f64 M M) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 (*.f64 d d) l)))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* 1/2 (/ (* D M) d))
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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))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* -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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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
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(* D (+ (* 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 (+ (* 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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(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d)))

rewrite91.0ms (0.9%)

Memory
18.1MiB live, 111.8MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01769
02669
17569
047069
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
5 → 60
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Outputs
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
(fma.f64 (/.f64 h l) (neg.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))
(+.f64 (neg.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l))
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (/.f64 h l)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) l)
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (neg.f64 h)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) (neg.f64 l))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)
(*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 D d) #s(literal 1 binary64)))
(*.f64 (pow.f64 M #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(*.f64 D (/.f64 M (*.f64 d #s(literal 2 binary64))))
(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))
(pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 D M) d) #s(literal 2 binary64))
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d)
(/.f64 (neg.f64 (*.f64 D (/.f64 M #s(literal 2 binary64)))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (neg.f64 M) D)) (neg.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) d)
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 M) D) (*.f64 d #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) #s(literal 1 binary64)))

eval21.0ms (0.2%)

Memory
-8.0MiB live, 40.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 7 291 to 1 032 computations (85.8% saved)

prune8.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1389147
Fresh000
Picked011
Done000
Total13810148
Accuracy
93.5%
Counts
148 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))))
83.5%
(*.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)))))
83.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 h l)))))
87.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
67.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
68.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))))
13.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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))))))
56.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
71.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
55.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
Compiler

Compiled 576 to 441 computations (23.4% saved)

simplify121.0ms (1.2%)

Memory
0.9MiB live, 136.6MiB allocated; 30ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
cost-diff0
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
cost-diff6
(*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
cost-diff0
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
cost-diff0
#s(approx (- 1 (* (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))))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (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)))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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))))))
cost-diff0
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)))
cost-diff0
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050559
080535
1164535
2585535
34189535
08193535
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))
#s(literal 1 binary64)
(/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)
(*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))
h
(pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(/.f64 M d)
M
d
l
(*.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 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))
(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 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
D
#s(literal -1/8 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
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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))))))
w0
(sqrt.f64 #s(approx (- 1 (* (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)))))
#s(approx (- 1 (* (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 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(/.f64 h l)
h
l
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(/.f64 M d)
M
d
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)))
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)
(*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)))
(*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) h)
h
(pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D)
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(/.f64 M d)
M
d
l
(*.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 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M) (/.f64 (*.f64 (/.f64 h (*.f64 d d)) M) l) #s(literal 1 binary64))) w0)
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M) (/.f64 (*.f64 (/.f64 h (*.f64 d d)) M) l) #s(literal 1 binary64)))
(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))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M) (/.f64 (*.f64 (/.f64 h (*.f64 d d)) M) l) #s(literal 1 binary64))
(*.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 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(*.f64 (/.f64 (/.f64 (/.f64 (*.f64 M M) l) d) d) h)
(/.f64 h (*.f64 d d))
h
(*.f64 d d)
d
(/.f64 (*.f64 M M) l)
(*.f64 M M)
M
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (/.f64 (*.f64 (/.f64 h (*.f64 d d)) M) l)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (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)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (/.f64 (*.f64 (/.f64 h (*.f64 d d)) M) l))))
#s(approx (- 1 (* (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))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (/.f64 (*.f64 (/.f64 h (*.f64 d d)) M) l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (/.f64 (*.f64 (/.f64 h (*.f64 d d)) M) l))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(*.f64 (/.f64 (/.f64 (/.f64 (*.f64 M M) l) d) d) h)
(/.f64 h (*.f64 d d))
h
(*.f64 d d)
d
(/.f64 (*.f64 M M) l)
(*.f64 M M)
M
l
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)))
(*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))
(/.f64 h l)
h
l
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D)
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(/.f64 M d)
M
d

localize159.0ms (1.6%)

Memory
8.6MiB live, 195.3MiB allocated; 62ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy1.7020128548880058
(*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
accuracy4.702352362825022
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
accuracy5.889240129261883
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
accuracy9.882885786114953
(*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
accuracy9.048640021958114
(/.f64 (*.f64 M M) l)
accuracy13.230895291861142
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
accuracy15.798912656956482
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
accuracy43.689942098252025
#s(approx (- 1 (* (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))))
accuracy9.048640021958114
(/.f64 (*.f64 M M) l)
accuracy11.786841255095196
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))
accuracy12.557345377936585
(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))
accuracy13.230895291861142
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
accuracy0.7402506371056524
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy18.425107626269913
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy3.633326590925229
(/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)
accuracy4.702352362825022
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)))
accuracy5.337270644718831
(*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))
accuracy5.889240129261883
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
Samples
87.0ms256×0valid
Compiler

Compiled 466 to 46 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 29.0ms (47.3% of total)
ival-div: 11.0ms (17.9% of total)
ival-sqrt: 8.0ms (13% of total)
ival-pow2: 8.0ms (13% of total)
ival-sub: 3.0ms (4.9% of total)
ival-add: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series91.0ms (0.9%)

Memory
3.9MiB live, 141.7MiB allocated; 23ms collecting garbage
Counts
23 → 101
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))
(/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)
(*.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 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))
(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 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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))))))
(sqrt.f64 #s(approx (- 1 (* (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)))))
#s(approx (- 1 (* (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 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/.f64 (*.f64 M M) l)
(*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/4 (/ (* (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))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (pow M 2) l)
(* 1/2 (/ (* D (* M h)) (* d l)))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* -1/8 (pow D 2))
(* 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 (+ (* 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -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 (+ (* 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))))))))
(+ 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 (* 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)))))))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (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 (+ (* -1/8 (/ (* (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 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
Calls

18 calls:

TimeVariablePointExpression
12.0ms
M
@0
((* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l))) (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l) (* 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)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))))) (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))))) (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))) (* (/ D 2) (/ M d)) (* h (pow (* (/ D 2) (/ M d)) 2)) (* (/ h (* d d)) (/ (* M M) l)) (/ (* M M) l) (* (/ h l) (* (/ D 2) (/ M d))))
10.0ms
D
@0
((* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l))) (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l) (* 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)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))))) (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))))) (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))) (* (/ D 2) (/ M d)) (* h (pow (* (/ D 2) (/ M d)) 2)) (* (/ h (* d d)) (/ (* M M) l)) (/ (* M M) l) (* (/ h l) (* (/ D 2) (/ M d))))
7.0ms
d
@0
((* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l))) (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l) (* 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)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))))) (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))))) (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))) (* (/ D 2) (/ M d)) (* h (pow (* (/ D 2) (/ M d)) 2)) (* (/ h (* d d)) (/ (* M M) l)) (/ (* M M) l) (* (/ h l) (* (/ D 2) (/ M d))))
7.0ms
D
@-inf
((* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l))) (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l) (* 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)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))))) (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))))) (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))) (* (/ D 2) (/ M d)) (* h (pow (* (/ D 2) (/ M d)) 2)) (* (/ h (* d d)) (/ (* M M) l)) (/ (* M M) l) (* (/ h l) (* (/ D 2) (/ M d))))
5.0ms
M
@inf
((* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l))) (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l) (* 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)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))) (* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))))) (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))))) (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))) (* (/ D 2) (/ M d)) (* h (pow (* (/ D 2) (/ M d)) 2)) (* (/ h (* d d)) (/ (* M M) l)) (/ (* M M) l) (* (/ h l) (* (/ D 2) (/ M d))))

simplify746.0ms (7.4%)

Memory
-121.7MiB live, 245.3MiB allocated; 1.0s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06494579
124774507
086114356
Stop Event
iter limit
node limit
Counts
101 → 100
Calls
Call 1
Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/4 (/ (* (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))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (pow M 2) l)
(* 1/2 (/ (* D (* M h)) (* d l)))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* -1/8 (pow D 2))
(* 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 (+ (* 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -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 (+ (* 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))))))))
(+ 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 (* 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)))))))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (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 (+ (* -1/8 (/ (* (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 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #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) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (*.f64 M M) l)) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) w0) (*.f64 (*.f64 d d) l))) (*.f64 M M) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.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 (/.f64 h l) (/.f64 h l))) (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))))) (*.f64 M M) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) w0) (*.f64 (*.f64 d d) l))) (*.f64 M M) 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 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 h (*.f64 l l)) (/.f64 h (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)) M) M) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 d #s(literal 6 binary64)))))) (*.f64 M M) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 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)))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/ (pow M 2) l)
(/.f64 (*.f64 M M) l)
(* 1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 M h) 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))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 M D) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (*.f64 (/.f64 w0 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 M D) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (*.f64 (/.f64 w0 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.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 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 M D) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 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 d (*.f64 (*.f64 M D) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.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))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 (*.f64 (/.f64 d (*.f64 (*.f64 M D) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.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)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (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 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 d (*.f64 (*.f64 M D) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M M)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (/.f64 h (*.f64 d d))) #s(literal 1 binary64))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(*.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d)) (sqrt.f64 (/.f64 h l)))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (neg.f64 M) (fma.f64 (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 M D) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (neg.f64 M) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (*.f64 (/.f64 w0 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 M D) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))))
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(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 l h) #s(literal 3 binary64))))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 5 binary64)) l)))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))))) (*.f64 l l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)) l) 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))))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (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 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) w0))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64)))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(-.f64 w0 (/.f64 (fma.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 h h) w0) l) (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 d)))) l))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) D) d) (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) w0) (*.f64 h h)) (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 M #s(literal 6 binary64)) w0) (pow.f64 h #s(literal 3 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)))) (neg.f64 l))) l))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) d) (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (pow.f64 d #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)))) (neg.f64 l))) 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)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M)) D (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d d) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d w0) d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 M D)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 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)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 d d) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d)))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 (/.f64 #s(literal -1/8 binary64) d) (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) #s(literal 1 binary64))

rewrite66.0ms (0.7%)

Memory
6.4MiB live, 99.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050446
080422
1261422
01593422
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
23 → 375
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))
(/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)
(*.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 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))
(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 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (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))))))
(sqrt.f64 #s(approx (- 1 (* (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)))))
#s(approx (- 1 (* (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 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/.f64 (*.f64 M M) l)
(*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
Outputs
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))))
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(*.f64 M (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 h l)))
(*.f64 h (/.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) l))
(/.f64 (*.f64 (neg.f64 h) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (neg.f64 l))
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (/.f64 h l)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 M (/.f64 D #s(literal 2 binary64))) (/.f64 h l)) d)
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (/.f64 h l)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (*.f64 M D) (/.f64 h l)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 h l) (/.f64 D #s(literal 2 binary64))) (neg.f64 M)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (/.f64 h l) (/.f64 D #s(literal 2 binary64))) M) d)
(/.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 M d) D)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 h l) (*.f64 M (/.f64 D #s(literal 2 binary64)))) d)
(/.f64 (*.f64 (/.f64 h l) (*.f64 (neg.f64 D) M)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (/.f64 h l) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (neg.f64 h)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (neg.f64 l))
(/.f64 (*.f64 (neg.f64 h) (*.f64 (/.f64 M d) D)) (*.f64 (neg.f64 l) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 h) (*.f64 M (/.f64 D #s(literal 2 binary64)))) (*.f64 (neg.f64 l) d))
(/.f64 (*.f64 (neg.f64 h) (*.f64 (neg.f64 D) M)) (*.f64 (neg.f64 l) (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 (neg.f64 h) (*.f64 M D)) (*.f64 (neg.f64 l) (*.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 h (*.f64 (/.f64 M d) D)) (*.f64 l #s(literal 2 binary64)))
(/.f64 (*.f64 h (*.f64 M (/.f64 D #s(literal 2 binary64)))) (*.f64 l d))
(/.f64 (*.f64 h (*.f64 (neg.f64 D) M)) (*.f64 l (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 h (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l))
(/.f64 (*.f64 (*.f64 M (/.f64 D #s(literal 2 binary64))) (neg.f64 h)) (*.f64 d (neg.f64 l)))
(/.f64 (*.f64 (*.f64 M (/.f64 D #s(literal 2 binary64))) h) (*.f64 d l))
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (neg.f64 h)) (*.f64 (*.f64 #s(literal -2 binary64) d) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l))
(/.f64 (*.f64 (*.f64 M D) (neg.f64 h)) (*.f64 (*.f64 d #s(literal 2 binary64)) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d #s(literal 2 binary64)) l))
(/.f64 (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d)) l)

eval73.0ms (0.7%)

Memory
-9.9MiB live, 215.8MiB allocated; 27ms collecting garbage
Compiler

Compiled 18 704 to 2 733 computations (85.4% saved)

prune52.0ms (0.5%)

Memory
15.5MiB live, 123.3MiB allocated; 19ms collecting garbage
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New47325498
Fresh404
Picked415
Done101
Total48226508
Accuracy
94.8%
Counts
508 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64))))
89.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) l))))
89.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l)))))
84.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d)) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))))))
68.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* h (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))))
93.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
86.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
82.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 D d) (/.f64 h l))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
86.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 h l))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
90.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (/.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
67.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
13.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 d d) l)))))
14.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 D (/.f64 h (*.f64 d d)))) (*.f64 M M)) l))))
18.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
16.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l))))))
13.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))
73.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
67.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d) d) #s(literal 1 binary64))))
62.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
59.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
55.9%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
56.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
64.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
12.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
61.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 M l))) (/.f64 #s(literal 1 binary64) h))))))
71.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Compiler

Compiled 1 746 to 1 317 computations (24.6% saved)

simplify110.0ms (1.1%)

Memory
-26.1MiB live, 161.1MiB allocated; 33ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l))))
cost-diff0
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l)))))
cost-diff2
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d)))
cost-diff4
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l))
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
cost-diff0
(*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D)
cost-diff0
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
cost-diff0
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
cost-diff6
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073805
0117802
1263754
21135754
35911752
08114752
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l))
(*.f64 (*.f64 (/.f64 M d) D) h)
(*.f64 (/.f64 M d) D)
(/.f64 M d)
M
d
D
h
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(/.f64 D #s(literal 2 binary64))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(*.f64 h #s(literal -1/8 binary64))
h
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D)
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
(*.f64 (/.f64 h (*.f64 d d)) M)
(/.f64 h (*.f64 d d))
h
(*.f64 d d)
d
M
(/.f64 M l)
l
D
(*.f64 #s(literal -1/8 binary64) D)
#s(literal -1/8 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 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D))
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
(*.f64 (/.f64 h (*.f64 d d)) M)
(/.f64 h (*.f64 d d))
h
(*.f64 d d)
d
M
(/.f64 M l)
l
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
D
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l)))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l))
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d)))
(*.f64 (/.f64 M d) D)
(/.f64 M d)
M
d
D
(*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))
(*.f64 h (/.f64 M #s(literal 2 binary64)))
h
(/.f64 M #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 D d)
(*.f64 #s(literal 2 binary64) l)
l
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l))
(*.f64 (*.f64 (/.f64 h d) M) (/.f64 D (*.f64 l #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 M d) D) h)
(*.f64 h (*.f64 D (/.f64 M d)))
(*.f64 (/.f64 M d) D)
(*.f64 D (/.f64 M d))
(/.f64 M d)
M
d
D
h
(*.f64 #s(literal 2 binary64) l)
(*.f64 l #s(literal 2 binary64))
#s(literal 2 binary64)
l
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))
(/.f64 D #s(literal 2 binary64))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (/.f64 h (*.f64 d d)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) l) #s(literal 1 binary64)))) w0)
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (/.f64 h (*.f64 d d)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) l) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (/.f64 h (*.f64 d d)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) l) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 h (*.f64 d d)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) l) #s(literal 1 binary64))
(*.f64 h #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) h)
h
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) (*.f64 M M))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
D
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) #s(literal 1 binary64))) w0)
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D)
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) D) (*.f64 (/.f64 M l) M))
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
(*.f64 (/.f64 (*.f64 (/.f64 h (*.f64 d d)) M) l) M)
(*.f64 (/.f64 h (*.f64 d d)) M)
(/.f64 h (*.f64 d d))
h
(*.f64 d d)
d
M
(/.f64 M l)
l
D
(*.f64 #s(literal -1/8 binary64) D)
#s(literal -1/8 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 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) D) (*.f64 (/.f64 h (*.f64 d d)) M)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) D) (*.f64 (/.f64 h (*.f64 d d)) M))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) D) (*.f64 (/.f64 h (*.f64 d d)) M)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) D) (*.f64 (/.f64 h (*.f64 d d)) M))
(*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) M) (/.f64 h (*.f64 d d)))
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
(*.f64 (/.f64 (*.f64 (/.f64 h (*.f64 d d)) M) l) M)
(*.f64 (/.f64 h (*.f64 d d)) M)
(/.f64 h (*.f64 d d))
h
(*.f64 d d)
d
M
(/.f64 M l)
l
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
D
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l))))
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l)))
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l))
(*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d)))
(*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h) #s(literal 2 binary64))
(*.f64 (/.f64 M d) D)
(*.f64 D (/.f64 M d))
(/.f64 M d)
M
d
D
(*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))
(*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h)
(*.f64 h (/.f64 M #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) h)
h
(/.f64 M #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 D d)
(*.f64 #s(literal 2 binary64) l)
(*.f64 l #s(literal 2 binary64))
l

localize164.0ms (1.6%)

Memory
28.1MiB live, 307.5MiB allocated; 26ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.6277899358036456
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l))
accuracy4.702352362825022
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l))))
accuracy5.905296615573717
(*.f64 (/.f64 M d) D)
accuracy7.692249242762918
(*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))
accuracy6.473054327190224
(*.f64 (/.f64 h (*.f64 d d)) M)
accuracy6.619589282078172
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
accuracy8.118754886218074
(/.f64 h (*.f64 d d))
accuracy43.689942098252025
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
accuracy6.473054327190224
(*.f64 (/.f64 h (*.f64 d d)) M)
accuracy6.619589282078172
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
accuracy8.118754886218074
(/.f64 h (*.f64 d d))
accuracy11.786841255095196
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))
accuracy7.042058301258157
(*.f64 (*.f64 M M) D)
accuracy7.395131711620872
(*.f64 (*.f64 d d) l)
accuracy11.786841255095196
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
accuracy16.038403935665713
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l))
accuracy4.702352362825022
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
accuracy5.422610680050167
(*.f64 (*.f64 (/.f64 M d) D) h)
accuracy5.889240129261883
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
accuracy5.905296615573717
(*.f64 (/.f64 M d) D)
Samples
115.0ms256×0valid
Compiler

Compiled 620 to 67 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 43.0ms (54.7% of total)
ival-div: 19.0ms (24.2% of total)
ival-sub: 5.0ms (6.4% of total)
ival-sqrt: 5.0ms (6.4% of total)
ival-add: 3.0ms (3.8% of total)
ival-pow2: 2.0ms (2.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series100.0ms (1%)

Memory
24.8MiB live, 163.1MiB allocated; 29ms collecting garbage
Counts
30 → 107
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l))
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l))))
(*.f64 (/.f64 M d) D)
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(*.f64 (*.f64 (/.f64 M d) D) h)
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 d d) l)
(*.f64 (*.f64 M M) D)
(/.f64 h (*.f64 d d))
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
(*.f64 (/.f64 h (*.f64 d d)) M)
(*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))
Outputs
(* w0 (sqrt (- 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)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(/ (* D (* (pow M 2) h)) (* (pow d 2) l))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/ (* D M) d)
(* 1/2 (/ (* D M) d))
(/ (* D (* M h)) d)
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* D (pow M 2))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* M h) (pow d 2))
(* 1/2 (/ (* D (* M h)) d))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* D (+ (* 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 (+ (* 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -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 (+ (* 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))))))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 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)))))))))
(/ h (pow d 2))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(* (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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(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
Calls

18 calls:

TimeVariablePointExpression
13.0ms
M
@inf
((* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d))) (* w0 (sqrt (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d)))))) (sqrt (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d))))) (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (* (/ h (* d d)) M) (/ M l)) D) (* -1/8 D)) 1) (* (* (* (/ h (* d d)) M) (/ M l)) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) D) (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l)) (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* w0 (sqrt (- 1 (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l))))) (sqrt (- 1 (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l)))) (* (/ M d) D) (* (/ D 2) (/ M d)) (* (* (/ M d) D) h) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ h (* d d)) (* (* (/ h (* d d)) M) (/ M l)) (* (/ h (* d d)) M) (* (* h (/ M 2)) (/ D d)))
9.0ms
D
@-inf
((* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d))) (* w0 (sqrt (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d)))))) (sqrt (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d))))) (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (* (/ h (* d d)) M) (/ M l)) D) (* -1/8 D)) 1) (* (* (* (/ h (* d d)) M) (/ M l)) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) D) (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l)) (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* w0 (sqrt (- 1 (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l))))) (sqrt (- 1 (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l)))) (* (/ M d) D) (* (/ D 2) (/ M d)) (* (* (/ M d) D) h) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ h (* d d)) (* (* (/ h (* d d)) M) (/ M l)) (* (/ h (* d d)) M) (* (* h (/ M 2)) (/ D d)))
7.0ms
l
@inf
((* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d))) (* w0 (sqrt (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d)))))) (sqrt (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d))))) (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (* (/ h (* d d)) M) (/ M l)) D) (* -1/8 D)) 1) (* (* (* (/ h (* d d)) M) (/ M l)) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) D) (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l)) (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* w0 (sqrt (- 1 (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l))))) (sqrt (- 1 (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l)))) (* (/ M d) D) (* (/ D 2) (/ M d)) (* (* (/ M d) D) h) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ h (* d d)) (* (* (/ h (* d d)) M) (/ M l)) (* (/ h (* d d)) M) (* (* h (/ M 2)) (/ D d)))
6.0ms
M
@-inf
((* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d))) (* w0 (sqrt (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d)))))) (sqrt (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d))))) (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (* (/ h (* d d)) M) (/ M l)) D) (* -1/8 D)) 1) (* (* (* (/ h (* d d)) M) (/ M l)) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) D) (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l)) (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* w0 (sqrt (- 1 (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l))))) (sqrt (- 1 (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l)))) (* (/ M d) D) (* (/ D 2) (/ M d)) (* (* (/ M d) D) h) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ h (* d d)) (* (* (/ h (* d d)) M) (/ M l)) (* (/ h (* d d)) M) (* (* h (/ M 2)) (/ D d)))
6.0ms
h
@-inf
((* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d))) (* w0 (sqrt (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d)))))) (sqrt (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d))))) (- 1 (* (/ (* (* (/ M d) D) h) (* 2 l)) (* (/ D 2) (/ M d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (* (/ h (* d d)) M) (/ M l)) D) (* -1/8 D)) 1) (* (* (* (/ h (* d d)) M) (/ M l)) D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) D) (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l)) (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* w0 (sqrt (- 1 (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l))))) (sqrt (- 1 (/ (* (* (/ M d) D) (* (* h (/ M 2)) (/ D d))) (* 2 l)))) (* (/ M d) D) (* (/ D 2) (/ M d)) (* (* (/ M d) D) h) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ h (* d d)) (* (* (/ h (* d d)) M) (/ M l)) (* (/ h (* d d)) M) (* (* h (/ M 2)) (/ D d)))

simplify188.0ms (1.9%)

Memory
-31.7MiB live, 209.1MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06524627
124854555
086254404
Stop Event
iter limit
node limit
Counts
107 → 106
Calls
Call 1
Inputs
(* w0 (sqrt (- 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)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(/ (* D (* (pow M 2) h)) (* (pow d 2) l))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/ (* D M) d)
(* 1/2 (/ (* D M) d))
(/ (* D (* M h)) d)
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* D (pow M 2))
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (* M h) (pow d 2))
(* 1/2 (/ (* D (* M h)) d))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* D (+ (* 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 (+ (* 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -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 (+ (* 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))))))))
(+ 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 (* 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)))))))))
(/ h (pow d 2))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(* (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 (+ (* -1/8 (/ (* (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 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d))) #s(literal 1 binary64))) w0)
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d))))
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 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (*.f64 M M) l)) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) w0) (*.f64 (*.f64 d d) l))) (*.f64 M M) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.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 (/.f64 h l) (/.f64 h l))) (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))))) (*.f64 M M) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) w0) (*.f64 (*.f64 d d) l))) (*.f64 M M) 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 (*.f64 M M) l) (/.f64 h (*.f64 d d))) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 (*.f64 d d) l)))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (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 h (*.f64 l l))) (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 d #s(literal 6 binary64)))))) (*.f64 M M) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 (*.f64 d d) l)))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d))) #s(literal 1 binary64))
(/ (* D (* (pow M 2) h)) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 (*.f64 D M) M) l) (/.f64 h (*.f64 d d)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d))))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 h M) D) d)
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 d d) l))
(* D (pow M 2))
(*.f64 (*.f64 D M) M)
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))
(/ (* M h) (pow d 2))
(*.f64 (/.f64 h d) (/.f64 M d))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 w0 d) (*.f64 (*.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (*.f64 (/.f64 w0 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 w0 d) (*.f64 (*.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (*.f64 (/.f64 w0 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.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 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 w0 d) (*.f64 (*.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 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 d (*.f64 (*.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M)
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(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
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(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 l h)) D) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 5 binary64)) l)))) (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 l h) #s(literal 3 binary64)))))) (*.f64 l l) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 l l))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
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(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 5 binary64)) l)))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 l h) #s(literal 3 binary64))))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))))) (*.f64 l l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) l) l)
(* (pow d 2) l)
(*.f64 (*.f64 d d) 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))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (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 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (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 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) w0))
(+ 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 (*.f64 M M) l) (/.f64 h (*.f64 d d))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))) #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 (*.f64 M M) l) (/.f64 h (*.f64 d d))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) #s(literal 1 binary64)))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(-.f64 w0 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 w0 h) d)) (*.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 h h) w0) l) (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) l))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) D) d) (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) w0) (*.f64 h h)) (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 M #s(literal 6 binary64)) w0) (pow.f64 h #s(literal 3 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)))) (neg.f64 l))) l))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) (*.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) l))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) d) (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (pow.f64 d #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)))) (neg.f64 l))) 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)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M)) D (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d d) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 w0 d) d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 D M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 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)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 d d) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d)))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 (/.f64 #s(literal -1/8 binary64) d) (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) #s(literal 1 binary64))

rewrite204.0ms (2%)

Memory
26.4MiB live, 176.1MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073631
0117628
1377576
02844576
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
30 → 587
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l))
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l))))
(*.f64 (/.f64 M d) D)
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(*.f64 (*.f64 (/.f64 M d) D) h)
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 d d) l)
(*.f64 (*.f64 M M) D)
(/.f64 h (*.f64 d d))
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
(*.f64 (/.f64 h (*.f64 d d)) M)
(*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 h l)) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64))))) (/.f64 M d))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64)))) (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 D (/.f64 M d))) (/.f64 (/.f64 h l) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64))) (/.f64 M #s(literal 2 binary64))) (/.f64 D d))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64))) (/.f64 M d)) (/.f64 D #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64))) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 D (/.f64 M d))) (*.f64 (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) l) (/.f64 (/.f64 D d) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) (*.f64 D (/.f64 M d))) l) (/.f64 (/.f64 D d) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) (*.f64 D (/.f64 M d))) #s(literal 2 binary64)) (/.f64 (/.f64 D d) l))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) #s(literal 2 binary64)) (/.f64 (*.f64 D (/.f64 M d)) l))
(*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 M d) l) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) D) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) D) l))
(*.f64 (/.f64 (*.f64 h (*.f64 D (/.f64 M d))) l) (/.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) l) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (*.f64 D (/.f64 M d)))
(*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) (*.f64 D (/.f64 M d))) (/.f64 (/.f64 D d) (*.f64 l #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64)))) (/.f64 M d))
(*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) (/.f64 (*.f64 D (/.f64 M d)) (*.f64 l #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) (/.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) l))
(*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64)))))
(*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64))))
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64))) (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))
(*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (/.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 l #s(literal 2 binary64))))
(*.f64 (*.f64 D (/.f64 M d)) (*.f64 (/.f64 (/.f64 h l) #s(literal 2 binary64)) (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))))
(*.f64 (*.f64 D (/.f64 M d)) (*.f64 (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) l) (/.f64 (/.f64 D d) #s(literal 2 binary64))))
(*.f64 D (*.f64 (/.f64 M d) (*.f64 (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) l) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(*.f64 (/.f64 M d) (*.f64 D (*.f64 (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) l) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(*.f64 (/.f64 M d) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64)))))
(*.f64 M (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) l) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 l))
(/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) l) (/.f64 (/.f64 D d) #s(literal 2 binary64)))) d)
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) M) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64)))) d)
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (*.f64 D (/.f64 M d)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D (/.f64 M d))) (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) l))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 h)) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h)) l)
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) (*.f64 D M)) (*.f64 l (*.f64 #s(literal 2 binary64) d)))
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64)))) (neg.f64 M)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64)))) M) d)
(/.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 (neg.f64 h) (*.f64 D (/.f64 M d)))) (*.f64 #s(literal -2 binary64) l))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64))) (*.f64 (/.f64 D #s(literal 2 binary64)) M)) d)
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64))) (*.f64 (neg.f64 D) M)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64))) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) l) (/.f64 h #s(literal 2 binary64))) (*.f64 D (/.f64 M d))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) (*.f64 D (/.f64 M d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))) l)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 M d)) (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) D))) (*.f64 #s(literal -2 binary64) l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) (*.f64 D (/.f64 M d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 M d)) (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) D))) (neg.f64 (*.f64 #s(literal -2 binary64) l)))
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) M) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h)) (*.f64 l d))
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h)) (*.f64 (*.f64 #s(literal -2 binary64) d) l))
(/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h)) (*.f64 d (*.f64 l #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h)) (*.f64 (*.f64 #s(literal 2 binary64) d) l))
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) M) (*.f64 (neg.f64 h) (*.f64 D (/.f64 M d)))) (*.f64 d (*.f64 #s(literal -2 binary64) l)))
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) M) (*.f64 h (*.f64 D (/.f64 M d)))) (*.f64 d (*.f64 l #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 (neg.f64 h) (*.f64 D (/.f64 M d)))) (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 #s(literal -2 binary64) l)))
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 h (*.f64 D (/.f64 M d)))) (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 l #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 D M) (*.f64 (neg.f64 h) (*.f64 D (/.f64 M d)))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal -2 binary64) l)))
(/.f64 (*.f64 (*.f64 D M) (*.f64 h (*.f64 D (/.f64 M d)))) (*.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 l #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 D (/.f64 M d)) (*.f64 (neg.f64 h) (*.f64 D (/.f64 M d)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) l)))
(/.f64 (*.f64 (*.f64 D (/.f64 M d)) (*.f64 h (*.f64 D (/.f64 M d)))) (*.f64 #s(literal 2 binary64) (*.f64 l #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) (*.f64 (/.f64 D #s(literal 2 binary64)) M)) (*.f64 l d))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) (*.f64 (neg.f64 D) M)) (*.f64 l (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) M)) (*.f64 (*.f64 #s(literal -2 binary64) l) d))
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D (/.f64 M d))) (*.f64 (neg.f64 D) M)) (*.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D (/.f64 M d))) (*.f64 D M)) (*.f64 (*.f64 #s(literal -2 binary64) l) (*.f64 #s(literal 2 binary64) d)))
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 #s(literal -2 binary64) l) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d))
(/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 (neg.f64 D) M)) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D M)) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d)))
(/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))
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(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 l #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) h)) (*.f64 l #s(literal 2 binary64)))
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eval94.0ms (0.9%)

Memory
6.1MiB live, 145.7MiB allocated; 17ms collecting garbage
Compiler

Compiled 27 683 to 3 814 computations (86.2% saved)

prune46.0ms (0.5%)

Memory
-1.9MiB live, 90.4MiB allocated; 8ms collecting garbage
Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New64128669
Fresh15520
Picked415
Done011
Total66035695
Accuracy
94.8%
Counts
695 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.0%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
75.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) D) (*.f64 D M)) (*.f64 d d)) (*.f64 #s(literal 2 binary64) l)))))
89.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 D M) d) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l)))))
89.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (*.f64 (*.f64 h M) D) (*.f64 #s(literal 2 binary64) d))) (*.f64 #s(literal 2 binary64) l)))))
84.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d)) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))))))
92.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))))))
87.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D M)) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d))))))
86.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
67.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
17.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
19.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
15.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
16.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
21.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
21.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
18.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) M)) D))))
13.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))
72.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
73.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 h M) (*.f64 (/.f64 M l) D)) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
76.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
74.9%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 d d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
70.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
81.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
80.9%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
73.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
70.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
66.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
67.9%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
65.9%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
74.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D l) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d))) #s(literal 1 binary64)))))
75.9%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
70.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
12.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
12.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
71.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Compiler

Compiled 2 617 to 1 935 computations (26.1% saved)

simplify111.0ms (1.1%)

Memory
-20.4MiB live, 117.7MiB allocated; 18ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
cost-diff0
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D)
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
cost-diff0
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
cost-diff0
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))
cost-diff0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))))
cost-diff0
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))))))
cost-diff2
(*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff4
(/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076912
0121902
1270886
21160886
35443886
08769880
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d)))
(*.f64 h (*.f64 D (/.f64 M d)))
h
(*.f64 D (/.f64 M d))
D
(/.f64 M d)
M
d
(*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 l #s(literal 2 binary64))
l
#s(literal 2 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))
(*.f64 h #s(literal -1/8 binary64))
h
#s(literal -1/8 binary64)
(*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l))))
M
(*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))
(*.f64 D M)
D
(/.f64 D (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64))
(*.f64 h #s(literal -1/8 binary64))
h
#s(literal -1/8 binary64)
(*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)))
(/.f64 D d)
D
d
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
(*.f64 l d)
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D))
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
D
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D))
(*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l))
(/.f64 (*.f64 (/.f64 h d) M) d)
(*.f64 (/.f64 h d) M)
(/.f64 h d)
h
d
M
(/.f64 M l)
l
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
D
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) l) h)
(*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d)))
(*.f64 (/.f64 (*.f64 M (*.f64 (/.f64 M d) D)) d) (*.f64 D h))
(*.f64 h (*.f64 D (/.f64 M d)))
(*.f64 (*.f64 (/.f64 M d) D) h)
h
(*.f64 D (/.f64 M d))
(*.f64 (/.f64 M d) D)
D
(/.f64 M d)
M
d
(*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) l)
(*.f64 l #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) l)
l
#s(literal 2 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))) w0)
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64))
(*.f64 h #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) h)
h
#s(literal -1/8 binary64)
(*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l))))
(*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) (/.f64 (/.f64 M l) d))
M
(*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 (/.f64 (/.f64 D d) d) M) (/.f64 D l))
(*.f64 D M)
(*.f64 M D)
D
(/.f64 D (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
#s(literal 1 binary64)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))) w0)
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64))
(*.f64 h #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) h)
h
#s(literal -1/8 binary64)
(*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)))
(*.f64 (*.f64 (*.f64 (/.f64 M d) D) D) (/.f64 (/.f64 M l) d))
(/.f64 D d)
D
d
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))
(*.f64 (*.f64 M (/.f64 (/.f64 M l) d)) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
M
(*.f64 l d)
l
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) M) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) D) l)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) M) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) D) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) M) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) D) l)))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) M) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) D) l))
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D (*.f64 (*.f64 d d) l))) (*.f64 (*.f64 M M) h))
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))
(*.f64 (/.f64 (*.f64 M (/.f64 (/.f64 M l) d)) d) h)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
D
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) M) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) D) l)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) M) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) D) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) M) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) D) l)))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) M) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) D) l))
(*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D (*.f64 (*.f64 d d) l))) (*.f64 (*.f64 M M) h))
(*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l))
(*.f64 (/.f64 (*.f64 M (/.f64 (/.f64 M l) d)) d) h)
(/.f64 (*.f64 (/.f64 h d) M) d)
(*.f64 (/.f64 h d) M)
(/.f64 h d)
h
d
M
(/.f64 M l)
l
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
D

localize183.0ms (1.8%)

Memory
30.1MiB live, 217.8MiB allocated; 39ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.702352362825022
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
accuracy5.769770553406116
(*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D))
accuracy6.619589282078172
(*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l))
accuracy43.689942098252025
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
accuracy7.395131711620872
(*.f64 (*.f64 d d) l)
accuracy9.134085359038789
(*.f64 (*.f64 M M) h)
accuracy13.522460779826401
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))
accuracy43.689942098252025
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))
accuracy5.480441729909284
(*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)))
accuracy7.042058301258157
(*.f64 (*.f64 M M) D)
accuracy11.786841255095196
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64))))
accuracy12.279717528373533
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))
accuracy7.395131711620872
(*.f64 (*.f64 d d) l)
accuracy7.7859451479486905
(*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))
accuracy8.223287911901593
(/.f64 D (*.f64 (*.f64 d d) l))
accuracy11.786841255095196
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
accuracy3.6267771143352485
(/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))
accuracy4.702352362825022
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))))
accuracy5.422610680050167
(*.f64 h (*.f64 D (/.f64 M d)))
accuracy5.905296615573717
(*.f64 D (/.f64 M d))
Samples
121.0ms256×0valid
Compiler

Compiled 614 to 67 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 53.0ms (63% of total)
ival-div: 20.0ms (23.8% of total)
ival-add: 3.0ms (3.6% of total)
ival-sqrt: 3.0ms (3.6% of total)
ival-sub: 2.0ms (2.4% of total)
ival-pow2: 2.0ms (2.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series120.0ms (1.2%)

Memory
-19.2MiB live, 168.5MiB allocated; 20ms collecting garbage
Counts
32 → 107
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #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) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 D (/.f64 M d))
(*.f64 h (*.f64 D (/.f64 M d)))
(/.f64 D (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 d d) l)
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))
(*.f64 (*.f64 M M) D)
(*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)))
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 M M) h)
(*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l))
(*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D))
Outputs
(* w0 (sqrt (- 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)))
w0
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1
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(/ (* D M) d)
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(* (pow M 2) h)
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(/ D (* (pow d 2) l))
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(* 4 l)
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(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
Calls

18 calls:

TimeVariablePointExpression
19.0ms
l
@-inf
((/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2)) (* (* l 2) 2) (* w0 (sqrt (- 1 (/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2))))) (sqrt (- 1 (/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (* M (* (* D M) (/ D (* (* d d) l))))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (* (/ D d) (/ (* (* M M) D) (* l d)))) 1) (* 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) h) (* (* d d) l)) (* -1/4 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))) (* (* (* (/ (* (/ h d) M) d) (/ M l)) (* -1/4 D)) D) (* D (/ M d)) (* h (* D (/ M d))) (/ D (* (* d d) l)) (* (* D M) (/ D (* (* d d) l))) (* (* d d) l) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (/ D d) (/ (* (* M M) D) (* l d))) (/ (* (* M M) h) (* (* d d) l)) (* (* M M) h) (* (/ (* (/ h d) M) d) (/ M l)) (* (* (/ (* (/ h d) M) d) (/ M l)) (* -1/4 D)))
11.0ms
D
@-inf
((/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2)) (* (* l 2) 2) (* w0 (sqrt (- 1 (/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2))))) (sqrt (- 1 (/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (* M (* (* D M) (/ D (* (* d d) l))))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (* (/ D d) (/ (* (* M M) D) (* l d)))) 1) (* 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) h) (* (* d d) l)) (* -1/4 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))) (* (* (* (/ (* (/ h d) M) d) (/ M l)) (* -1/4 D)) D) (* D (/ M d)) (* h (* D (/ M d))) (/ D (* (* d d) l)) (* (* D M) (/ D (* (* d d) l))) (* (* d d) l) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (/ D d) (/ (* (* M M) D) (* l d))) (/ (* (* M M) h) (* (* d d) l)) (* (* M M) h) (* (/ (* (/ h d) M) d) (/ M l)) (* (* (/ (* (/ h d) M) d) (/ M l)) (* -1/4 D)))
6.0ms
d
@inf
((/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2)) (* (* l 2) 2) (* w0 (sqrt (- 1 (/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2))))) (sqrt (- 1 (/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (* M (* (* D M) (/ D (* (* d d) l))))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (* (/ D d) (/ (* (* M M) D) (* l d)))) 1) (* 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) h) (* (* d d) l)) (* -1/4 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))) (* (* (* (/ (* (/ h d) M) d) (/ M l)) (* -1/4 D)) D) (* D (/ M d)) (* h (* D (/ M d))) (/ D (* (* d d) l)) (* (* D M) (/ D (* (* d d) l))) (* (* d d) l) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (/ D d) (/ (* (* M M) D) (* l d))) (/ (* (* M M) h) (* (* d d) l)) (* (* M M) h) (* (/ (* (/ h d) M) d) (/ M l)) (* (* (/ (* (/ h d) M) d) (/ M l)) (* -1/4 D)))
6.0ms
l
@inf
((/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2)) (* (* l 2) 2) (* w0 (sqrt (- 1 (/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2))))) (sqrt (- 1 (/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (* M (* (* D M) (/ D (* (* d d) l))))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (* (/ D d) (/ (* (* M M) D) (* l d)))) 1) (* 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) h) (* (* d d) l)) (* -1/4 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))) (* (* (* (/ (* (/ h d) M) d) (/ M l)) (* -1/4 D)) D) (* D (/ M d)) (* h (* D (/ M d))) (/ D (* (* d d) l)) (* (* D M) (/ D (* (* d d) l))) (* (* d d) l) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (/ D d) (/ (* (* M M) D) (* l d))) (/ (* (* M M) h) (* (* d d) l)) (* (* M M) h) (* (/ (* (/ h d) M) d) (/ M l)) (* (* (/ (* (/ h d) M) d) (/ M l)) (* -1/4 D)))
6.0ms
d
@-inf
((/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2)) (* (* l 2) 2) (* w0 (sqrt (- 1 (/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2))))) (sqrt (- 1 (/ (* (* h (* D (/ M d))) (* D (/ M d))) (* (* l 2) 2)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (* M (* (* D M) (/ D (* (* d d) l))))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (* h -1/8) (* (/ D d) (/ (* (* M M) D) (* l d)))) 1) (* 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) h) (* (* d d) l)) (* -1/4 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))) (* (* (* (/ (* (/ h d) M) d) (/ M l)) (* -1/4 D)) D) (* D (/ M d)) (* h (* D (/ M d))) (/ D (* (* d d) l)) (* (* D M) (/ D (* (* d d) l))) (* (* d d) l) (/ (* (* M M) D) (* l d)) (* (* M M) D) (* (/ D d) (/ (* (* M M) D) (* l d))) (/ (* (* M M) h) (* (* d d) l)) (* (* M M) h) (* (/ (* (/ h d) M) d) (/ M l)) (* (* (/ (* (/ h d) M) d) (/ M l)) (* -1/4 D)))

simplify156.0ms (1.5%)

Memory
34.2MiB live, 169.1MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06544621
124954549
086404398
Stop Event
iter limit
node limit
Counts
107 → 106
Calls
Call 1
Inputs
(* w0 (sqrt (- 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)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (* D M) d)
(/ (* D (* M h)) d)
(/ (* (pow D 2) M) (* (pow d 2) l))
(/ (* D (pow M 2)) (* d l))
(* D (pow M 2))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(* (pow M 2) h)
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(/ D (* (pow d 2) 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 (+ (* 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)))))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) 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 (+ (* 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))))))))
(+ 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 (* 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)))))))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* 4 l)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(* (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 (+ (* -1/8 (/ (* (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 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 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)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 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 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 w0 l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (*.f64 M M) l)) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))))) (*.f64 M M) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (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 (/.f64 h l) (/.f64 h l))))) (*.f64 M M) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) w0) (*.f64 (*.f64 d d) l))) (*.f64 M M) 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 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 (*.f64 d d) l)))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (*.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 (/.f64 h (pow.f64 d #s(literal 4 binary64))) (/.f64 h (*.f64 l l))))) (*.f64 M M) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 (*.f64 d d) l)))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D (* M h)) d)
(/.f64 (*.f64 (*.f64 M h) D) d)
(/ (* (pow D 2) M) (* (pow d 2) l))
(*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 D D) l))
(/ (* D (pow M 2)) (* d l))
(*.f64 (/.f64 D l) (/.f64 (*.f64 M M) d))
(* D (pow M 2))
(*.f64 (*.f64 M D) M)
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l))
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) 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))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 w0 d) (*.f64 (*.f64 M D) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (*.f64 (/.f64 w0 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 w0 d) (*.f64 (*.f64 M D) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (*.f64 (/.f64 w0 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.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 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 w0 d) (*.f64 (*.f64 M D) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 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 d (*.f64 (*.f64 M D) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.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))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
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(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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(* (pow d 2) l)
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
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(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) D) d) (/.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)) w0) (pow.f64 h #s(literal 3 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) 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)) w0) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))))) (neg.f64 l))) l))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M D) M) h) D) d) (/.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)) (pow.f64 h #s(literal 3 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) 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) (pow.f64 d #s(literal 4 binary64))))) (neg.f64 l))) 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)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M)) D (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d d) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 w0 d) d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 M D)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d)))

rewrite87.0ms (0.9%)

Memory
-29.3MiB live, 61.3MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076750
0121742
1375694
02688688
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
32 → 540
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #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) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 D (/.f64 M d))
(*.f64 h (*.f64 D (/.f64 M d)))
(/.f64 D (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))
(*.f64 (*.f64 d d) l)
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))
(*.f64 (*.f64 M M) D)
(*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d)))
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 M M) h)
(*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l))
(*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D h) #s(literal 2 binary64)) (/.f64 (/.f64 M d) l))) (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 M d) D) h)) (*.f64 (/.f64 (/.f64 M d) l) (/.f64 D #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 h l)) (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) D) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 M d) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 2 binary64) l)) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) #s(literal 2 binary64)))
(*.f64 (/.f64 h (*.f64 #s(literal 2 binary64) l)) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) D) #s(literal 2 binary64)) (/.f64 (/.f64 M d) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) D) l) (/.f64 (/.f64 M d) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) l) (/.f64 (*.f64 (/.f64 M d) D) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 M d) D) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (/.f64 (*.f64 (/.f64 M d) D) l) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) #s(literal 4 binary64)))
(*.f64 (/.f64 h #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (*.f64 (/.f64 (/.f64 M d) l) (/.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 M d) D) h))
(*.f64 (*.f64 D h) (*.f64 (/.f64 M d) (*.f64 (/.f64 (/.f64 M d) l) (/.f64 D #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) D) (/.f64 (/.f64 M d) (*.f64 #s(literal 4 binary64) l)))
(*.f64 (*.f64 (/.f64 (*.f64 D h) #s(literal 2 binary64)) (/.f64 (/.f64 M d) l)) (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)))
(*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))
(*.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D h) #s(literal 2 binary64)) (/.f64 (/.f64 M d) l)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 (/.f64 (/.f64 M d) l) (/.f64 D #s(literal 4 binary64))))
(*.f64 (*.f64 (/.f64 M d) D) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 4 binary64) l)))
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 h (*.f64 (/.f64 (/.f64 M d) l) (/.f64 D #s(literal 4 binary64)))))
(*.f64 h (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) l)))
(*.f64 h (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 (/.f64 M d) l) (/.f64 D #s(literal 4 binary64)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) h) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) l))
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) h) l) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 l))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D h) #s(literal 2 binary64)) (/.f64 (/.f64 M d) l)) (*.f64 (/.f64 M d) D)) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 h)) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)))) (*.f64 l #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) h)) (*.f64 #s(literal 4 binary64) l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) h)) l)
(/.f64 (neg.f64 (*.f64 (/.f64 h #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)))) (neg.f64 (*.f64 l #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) h)) (neg.f64 l))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) h)) (*.f64 #s(literal 2 binary64) l))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 h #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 l #s(literal -4 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) h)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) l)))
(/.f64 (*.f64 (/.f64 h #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l)) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) h) l)
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) (*.f64 l #s(literal -4 binary64)))
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) h) (*.f64 #s(literal 4 binary64) l))
(neg.f64 (/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) l)))
(neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) h) (*.f64 l #s(literal -4 binary64))))
(*.f64 #s(literal 4 binary64) l)
(*.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) l))
(*.f64 l #s(literal 4 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)))
(fma.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) l (*.f64 #s(literal 2 binary64) l))
(fma.f64 l #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) l))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) l))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/8 binary64) h))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/8 binary64) h) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) (*.f64 #s(literal -1/8 binary64) h))))))
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(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d)) d)
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (*.f64 (/.f64 h d) M) M)) (*.f64 l d))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) M)) l)
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (*.f64 (neg.f64 M) M) h)) (*.f64 (*.f64 (neg.f64 d) d) l))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D)) (*.f64 (*.f64 (neg.f64 d) d) l))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l))

eval74.0ms (0.7%)

Memory
11.4MiB live, 109.3MiB allocated; 17ms collecting garbage
Compiler

Compiled 24 813 to 3 267 computations (86.8% saved)

prune101.0ms (1%)

Memory
19.1MiB live, 164.6MiB allocated; 36ms collecting garbage
Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New49026516
Fresh181028
Picked325
Done022
Total51140551
Accuracy
94.8%
Counts
551 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.0%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
92.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 l #s(literal 4 binary64))))))
87.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D M)) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d))))))
89.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) D) (/.f64 (/.f64 M d) (*.f64 #s(literal 4 binary64) l))))))
67.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
16.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 d d)) l) D))))
17.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) d) (*.f64 l d)) D))))
16.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 h d) d) (*.f64 (*.f64 (/.f64 M l) M) (*.f64 (*.f64 #s(literal -1/4 binary64) D) D))))))
21.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d)) D))))
15.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) D))))
20.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 h d) d) (*.f64 (*.f64 (/.f64 M l) M) (*.f64 #s(literal -1/4 binary64) D))) D))))
16.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
22.9%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D))) D))))
21.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
22.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) D)) D))))
21.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 M d) (/.f64 M d))) (/.f64 h l)) D))))
15.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) D)) D))))
17.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
72.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
76.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
70.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
80.9%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
73.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
70.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
66.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
68.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) M)) M #s(literal 1 binary64)))))
65.9%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
64.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
82.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))
78.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
68.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 D l))) #s(literal 1 binary64)))))
79.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))
71.9%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
75.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
73.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
70.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
13.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
12.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
12.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
71.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Compiler

Compiled 5 182 to 1 873 computations (63.9% saved)

regimes324.0ms (3.2%)

Memory
-1.7MiB live, 420.1MiB allocated; 25ms collecting garbage
Counts
89 → 1
Calls
Call 1
Inputs
(*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) M)) M #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 D l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 d d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 h M) (*.f64 (/.f64 M l) D)) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D l) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d) d) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) d) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 d d)) l) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 D (/.f64 h (*.f64 d d)))) (*.f64 M M)) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 M l))) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 M d) (/.f64 M d))) (/.f64 h l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D))) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 h d) d) (*.f64 (*.f64 (/.f64 M l) M) (*.f64 #s(literal -1/4 binary64) D))) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 h d) d) (*.f64 (*.f64 (/.f64 M l) M) (*.f64 (*.f64 #s(literal -1/4 binary64) D) D))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D M)) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) D) (/.f64 (/.f64 M d) (*.f64 #s(literal 4 binary64) l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* h (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 l #s(literal 4 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d)) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (*.f64 (*.f64 h M) D) (*.f64 #s(literal 2 binary64) d))) (*.f64 #s(literal 2 binary64) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) D) (*.f64 D M)) (*.f64 d d)) (*.f64 #s(literal 2 binary64) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 D M) d) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) (*.f64 #s(literal 2 binary64) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (/.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 h l))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 D d) (/.f64 h l))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d))) l))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 h l)))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
Calls

15 calls:

33.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
23.0ms
M
23.0ms
d
22.0ms
l
22.0ms
w0
Results
AccuracySegmentsBranch
93.2%1(/.f64 h l)
93.2%1(*.f64 #s(literal 2 binary64) d)
93.2%1(*.f64 M D)
93.2%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
93.2%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
93.2%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
93.2%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
93.2%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
93.2%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
93.2%1w0
93.2%1M
93.2%1D
93.2%1h
93.2%1l
93.2%1d
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes282.0ms (2.8%)

Memory
26.9MiB live, 446.5MiB allocated; 44ms collecting garbage
Counts
77 → 1
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) M)) M #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 D l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 d d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 h M) (*.f64 (/.f64 M l) D)) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D l) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d) d) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) d) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 d d)) l) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 D (/.f64 h (*.f64 d d)))) (*.f64 M M)) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 M l))) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 M d) (/.f64 M d))) (/.f64 h l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D))) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 h d) d) (*.f64 (*.f64 (/.f64 M l) M) (*.f64 #s(literal -1/4 binary64) D))) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 h d) d) (*.f64 (*.f64 (/.f64 M l) M) (*.f64 (*.f64 #s(literal -1/4 binary64) D) D))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D M)) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) D) (/.f64 (/.f64 M d) (*.f64 #s(literal 4 binary64) l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* h (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 l #s(literal 4 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d)) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (*.f64 (*.f64 h M) D) (*.f64 #s(literal 2 binary64) d))) (*.f64 #s(literal 2 binary64) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) h) D) (*.f64 D M)) (*.f64 d d)) (*.f64 #s(literal 2 binary64) l)))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 l #s(literal 4 binary64))))))
Calls

15 calls:

24.0ms
l
20.0ms
(-.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)))
20.0ms
(/.f64 h l)
20.0ms
w0
20.0ms
h
Results
AccuracySegmentsBranch
92.5%1(*.f64 #s(literal 2 binary64) d)
92.5%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
92.5%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
92.5%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
92.5%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)))
92.5%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))))
92.5%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)))))
92.5%1w0
92.5%1D
92.5%1h
92.5%1l
92.5%1d
92.5%1(/.f64 h l)
92.5%1(*.f64 M D)
92.5%1M
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes254.0ms (2.5%)

Memory
8.8MiB live, 433.0MiB allocated; 28ms collecting garbage
Counts
71 → 1
Calls
Call 1
Inputs
(*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) M)) M #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 D l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 d d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 h M) (*.f64 (/.f64 M l) D)) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D l) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d) d) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) d) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 d d)) l) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 D (/.f64 h (*.f64 d d)))) (*.f64 M M)) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 M l))) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 M d) (/.f64 M d))) (/.f64 h l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D))) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 h d) d) (*.f64 (*.f64 (/.f64 M l) M) (*.f64 #s(literal -1/4 binary64) D))) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 h d) d) (*.f64 (*.f64 (/.f64 M l) M) (*.f64 (*.f64 #s(literal -1/4 binary64) D) D))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D M)) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) D) (/.f64 (/.f64 M d) (*.f64 #s(literal 4 binary64) l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* h (pow (* (/ D 2) (/ M d)) 2)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) D) (/.f64 (/.f64 M d) (*.f64 #s(literal 4 binary64) l))))))
Calls

15 calls:

20.0ms
l
19.0ms
(*.f64 #s(literal 2 binary64) d)
18.0ms
d
18.0ms
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
89.4%1D
89.4%1(/.f64 h l)
89.4%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
89.4%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
89.4%1w0
89.4%1h
89.4%1l
89.4%1(*.f64 #s(literal 2 binary64) d)
89.4%1(*.f64 M D)
89.4%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
89.4%1M
89.4%1d
89.4%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)))
89.4%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))))
89.4%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)))))
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes340.0ms (3.4%)

Memory
-19.2MiB live, 444.2MiB allocated; 175ms collecting garbage
Counts
69 → 2
Calls
Call 1
Inputs
(*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) M)) M #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 D l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 d d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 h M) (*.f64 (/.f64 M l) D)) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D l) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d) d) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) d) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 d d)) l) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 D (/.f64 h (*.f64 d d)))) (*.f64 M M)) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 M l))) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 M d) (/.f64 M d))) (/.f64 h l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D))) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 h d) d) (*.f64 (*.f64 (/.f64 M l) M) (*.f64 #s(literal -1/4 binary64) D))) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 h d) d) (*.f64 (*.f64 (/.f64 M l) M) (*.f64 (*.f64 #s(literal -1/4 binary64) D) D))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D M)) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D M)) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d))))))
Calls

15 calls:

43.0ms
(/.f64 h l)
41.0ms
(-.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)))
34.0ms
l
28.0ms
D
27.0ms
h
Results
AccuracySegmentsBranch
87.0%1w0
89.5%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
90.7%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)))
90.3%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
87.0%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
89.1%2D
87.0%1h
87.0%1l
89.5%2(/.f64 h l)
87.0%1(*.f64 #s(literal 2 binary64) d)
89.8%2(*.f64 M D)
89.5%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
90.3%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
87.0%1d
87.0%1M
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes101.0ms (1%)

Memory
45.9MiB live, 137.1MiB allocated; 6ms collecting garbage
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)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) M)) M #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 D l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 d d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 h M) (*.f64 (/.f64 M l) D)) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D l) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d) d) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) d) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 d d)) l) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 D (/.f64 h (*.f64 d d)))) (*.f64 M M)) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 M l))) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 M d) (/.f64 M d))) (/.f64 h l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D))) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 h d) d) (*.f64 (*.f64 (/.f64 M l) M) (*.f64 #s(literal -1/4 binary64) D))) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 h d) d) (*.f64 (*.f64 (/.f64 M l) M) (*.f64 (*.f64 #s(literal -1/4 binary64) D) D))))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D))) D))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

7 calls:

15.0ms
(/.f64 h l)
15.0ms
(*.f64 M D)
15.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
14.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
14.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
Results
AccuracySegmentsBranch
82.4%1(/.f64 h l)
85.1%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
85.1%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
82.4%1(*.f64 M D)
89.9%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))))
89.3%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
89.9%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)))
Compiler

Compiled 66 to 79 computations (-19.7% saved)

regimes33.0ms (0.3%)

Memory
-4.9MiB live, 44.1MiB allocated; 5ms collecting garbage
Counts
64 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) M)) M #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 D l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 d d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 h M) (*.f64 (/.f64 M l) D)) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D l) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d) d) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) d) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 d d)) l) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 D (/.f64 h (*.f64 d d)))) (*.f64 M M)) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 M l))) (/.f64 #s(literal 1 binary64) h))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 M d) (/.f64 M d))) (/.f64 h l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 M d) (/.f64 M d))) (/.f64 h l)) D))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

2 calls:

15.0ms
D
12.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
82.4%1D
89.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 14 to 19 computations (-35.7% saved)

regimes16.0ms (0.2%)

Memory
-22.8MiB live, 22.9MiB allocated; 3ms collecting garbage
Counts
61 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
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(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
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(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
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(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 d d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 h M) (*.f64 (/.f64 M l) D)) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D l) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d) d) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 l d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) M) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) d) (*.f64 l d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 d d)) l) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 D (/.f64 h (*.f64 d d)))) (*.f64 M M)) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (neg.f64 h) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 M l))) (/.f64 #s(literal 1 binary64) h))))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

13.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
88.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes136.0ms (1.3%)

Memory
18.4MiB live, 197.1MiB allocated; 20ms collecting garbage
Counts
53 → 3
Calls
Call 1
Inputs
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(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
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(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 D l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 d d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 h M) (*.f64 (/.f64 M l) D)) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D l) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d) d) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 h M) d) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M l) D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
Calls

10 calls:

19.0ms
(*.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)))))
15.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
14.0ms
M
14.0ms
l
13.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
86.9%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)))
86.9%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))))
82.4%1(*.f64 #s(literal 2 binary64) d)
82.4%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)))))
82.4%1w0
82.4%1M
82.4%1d
82.4%1h
82.4%1l
85.1%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 99 computations (-41.4% saved)

regimes25.0ms (0.2%)

Memory
-10.7MiB live, 34.5MiB allocated; 6ms collecting garbage
Counts
47 → 3
Calls
Call 1
Inputs
(*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) M)) M #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 D l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 d d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 h M) (*.f64 (/.f64 M l) D)) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D l) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d) d) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))
Calls

2 calls:

13.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
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))))
Results
AccuracySegmentsBranch
86.9%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)))
86.9%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))))
Compiler

Compiled 31 to 31 computations (0% saved)

regimes19.0ms (0.2%)

Memory
32.7MiB live, 32.7MiB allocated; 0ms collecting garbage
Counts
44 → 3
Calls
Call 1
Inputs
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(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
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#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
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(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))
Calls

2 calls:

8.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
8.0ms
(-.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
86.8%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)))
86.8%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))))
Compiler

Compiled 31 to 31 computations (0% saved)

regimes83.0ms (0.8%)

Memory
-22.2MiB live, 74.6MiB allocated; 65ms collecting garbage
Counts
43 → 3
Calls
Call 1
Inputs
(*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) M)) M #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 D l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 d d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 h M) (*.f64 (/.f64 M l) D)) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/4 binary64)) D) (*.f64 (*.f64 d d) l)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 (/.f64 D d) d) l))) #s(literal 1 binary64)))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
Calls

5 calls:

43.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
12.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
9.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
8.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
8.0ms
(-.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
84.9%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
81.7%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
81.7%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
86.5%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)))
86.1%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
Compiler

Compiled 60 to 65 computations (-8.3% saved)

regimes113.0ms (1.1%)

Memory
21.9MiB live, 160.4MiB allocated; 20ms collecting garbage
Counts
32 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) M)) M #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 D l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M l) (*.f64 h M)) (*.f64 d d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 l d)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 h M) (*.f64 (/.f64 M l) D)) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) D) (*.f64 (*.f64 D (*.f64 (/.f64 h (*.f64 d d)) M)) (/.f64 M l)) #s(literal 1 binary64))) w0)
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))
Calls

13 calls:

13.0ms
d
12.0ms
h
11.0ms
(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 #s(literal 2 binary64) d)
8.0ms
w0
Results
AccuracySegmentsBranch
80.9%2(*.f64 #s(literal 2 binary64) d)
82.3%2(*.f64 M D)
80.9%2d
81.6%2M
78.5%1l
81.0%2D
78.5%1h
82.2%2(/.f64 h l)
82.7%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
78.5%1w0
82.7%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))))
82.9%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
83.1%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Compiler

Compiled 77 to 119 computations (-54.5% saved)

regimes6.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
(*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) M)) M #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 D l))) #s(literal 1 binary64)))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64)))))
Calls

1 calls:

4.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Results
AccuracySegmentsBranch
83.1%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Compiler

Compiled 15 to 15 computations (0% saved)

regimes23.0ms (0.2%)

Memory
-21.1MiB live, 31.8MiB allocated; 8ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
(*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M D) M) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) D) M)) M #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h)) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) M) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 M (*.f64 h M)) (*.f64 (*.f64 d d) l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
Outputs
(*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64)))))
Calls

4 calls:

5.0ms
(*.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)))))
4.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
4.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
4.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
Results
AccuracySegmentsBranch
82.3%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
82.3%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
82.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
82.6%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Compiler

Compiled 62 to 61 computations (1.6% saved)

regimes8.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
(*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64)))))
Calls

5 calls:

2.0ms
(*.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 M D)
1.0ms
(*.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 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
1.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
Results
AccuracySegmentsBranch
81.8%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
81.8%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)))))
81.1%2(*.f64 M D)
82.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
82.2%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Compiler

Compiled 65 to 68 computations (-4.6% saved)

regimes14.0ms (0.1%)

Memory
-24.6MiB live, 21.2MiB allocated; 5ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

8 calls:

5.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
1.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms
M
1.0ms
(/.f64 h l)
1.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Results
AccuracySegmentsBranch
75.6%2M
80.0%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
80.0%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
81.1%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
81.1%3(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
81.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
71.4%1(/.f64 h l)
81.1%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Compiler

Compiled 82 to 95 computations (-15.9% saved)

regimes17.0ms (0.2%)

Memory
-12.4MiB live, 34.0MiB allocated; 4ms collecting garbage
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

14 calls:

4.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms
D
1.0ms
(*.f64 #s(literal 2 binary64) d)
1.0ms
M
1.0ms
h
Results
AccuracySegmentsBranch
71.4%1M
71.4%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
71.4%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
71.4%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
71.4%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
71.4%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
71.4%1h
71.4%1w0
71.4%1l
71.4%1(*.f64 #s(literal 2 binary64) d)
71.4%1d
71.4%1D
71.4%1(*.f64 M D)
71.4%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 90 to 133 computations (-47.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
601716.4791404664
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-601715.4791404664
-5.733992841462277e-21
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-601715.4791404664
-5.733992841462277e-21
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-601715.4791404664
-5.733992841462277e-21
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.412187132806756e+109
+inf
0.0ms
1.0
775.7038604651045
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.412187132806756e+109
+inf
0.0ms
1.0
775.7038604651045
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.412187132806756e+109
+inf
0.0ms
1.0
775.7038604651045
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.929176956051902e+219
+inf
0.0ms
1.0
601716.4791404664
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.161764053276228e+153
1.304280300652202e+167
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.929176956051902e+219
+inf
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.929176956051902e+219
+inf
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.929176956051902e+219
+inf
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.929176956051902e+219
-8.344796516756225e+190
Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify63.0ms (0.6%)

Memory
16.4MiB live, 61.4MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02031492
12931492
27551492
353741492
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 l #s(literal 4 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) D) (/.f64 (/.f64 M d) (*.f64 #s(literal 4 binary64) l))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 2 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D M)) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d)))))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D))) D)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 M d) (/.f64 M d))) (/.f64 h l)) D)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) D)) D)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.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)))) #s(literal 2 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.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)))) #s(literal 100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))))
(if (<=.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)))) #s(literal 2 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.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)))) #s(literal 100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))))
(if (<=.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)))) #s(literal 2 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.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)))) #s(literal 100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 2 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688 binary64)) (*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688 binary64)) (*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688 binary64)) (*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) 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 -1999999999999999930168777770965038835185710261252187684342087190381666372798103074634393633413599250594442956032371041455348337279889700577699244710948244690953092785150999379963096696036126558244456821968375010450997248 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) h) (*.f64 #s(literal 2 binary64) l)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D (/.f64 M d))) (*.f64 l #s(literal 4 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) D) h) D) (/.f64 (/.f64 M d) (*.f64 #s(literal 4 binary64) l))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 2 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (*.f64 D M)) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d)))))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D))) D)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 M d) (/.f64 M d))) (/.f64 h l)) D)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) (*.f64 l d))) (*.f64 #s(literal -1/4 binary64) D)) D)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.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)))) #s(literal 2 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.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)))) #s(literal 100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))))
(if (<=.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)))) #s(literal 2 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.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)))) #s(literal 100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 M l) (*.f64 (/.f64 M d) D))) #s(literal 1 binary64)))))))
(if (<=.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)))) #s(literal 2 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.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)))) #s(literal 100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (/.f64 D d) l))) #s(literal 1 binary64)))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 2 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) #s(approx (* (* (/ (* (* M M) h) (* (* d d) l)) (* -1/4 D)) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64)))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 (/.f64 D d) (*.f64 M (/.f64 (*.f64 M D) (*.f64 l d)))) #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688 binary64)) (*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 (/.f64 D d) (*.f64 l d)))) #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688 binary64)) (*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 l d) d)))) #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688 binary64)) (*.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(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) 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 -1999999999999999930168777770965038835185710261252187684342087190381666372798103074634393633413599250594442956032371041455348337279889700577699244710948244690953092785150999379963096696036126558244456821968375010450997248 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) M) D)) h) (*.f64 (*.f64 d d) l))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

derivations808.0ms (8%)

Memory
11.4MiB live, 667.4MiB allocated; 97ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06264390
124074334
084404188
06494579
124774507
086114356
050446
080422
1261422
01593422
073631
0117628
1377576
02844576
076750
0121742
1375694
02688688
01769
02669
17569
047069
06544621
124954549
086404398
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 492 to 207 computations (86.1% saved)

preprocess186.0ms (1.8%)

Memory
-13.6MiB live, 264.9MiB allocated; 100ms collecting garbage
Remove

(negabs w0)

(abs d)

Compiler

Compiled 3 404 to 752 computations (77.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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