Henrywood and Agarwal, Equation (9a)

Time bar (total: 12.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze736.0ms (6%)

Memory
10.2MiB live, 747.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%99.7%0.3%0%0%0%4
0%0%99.7%0.3%0%0%0%5
0%0%99.7%0.3%0%0%0%6
12.5%12.5%87.2%0.3%0%0%0%7
12.5%12.5%87.2%0.3%0%0%0%8
12.5%12.5%87.2%0.3%0%0%0%9
12.5%12.5%87.2%0.3%0%0%0%10
12.5%12.5%87.2%0.3%0%0%0%11
18.8%18.7%81%0.3%0%0%0%12
Compiler

Compiled 20 to 19 computations (5% saved)

sample2.1s (17.5%)

Memory
41.3MiB live, 3 006.0MiB allocated
Samples
1.1s8 256×0valid
329.0ms2 829×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 486.0ms (47.7% of total)
ival-div: 195.0ms (19.1% of total)
ival-pow2: 149.0ms (14.6% of total)
ival-sqrt: 81.0ms (8% of total)
ival-sub: 78.0ms (7.7% of total)
exact: 13.0ms (1.3% of total)
ival-true: 9.0ms (0.9% of total)
ival-assert: 4.0ms (0.4% of total)
adjust: 3.0ms (0.3% of total)
Bogosity

explain209.0ms (1.7%)

Memory
11.6MiB live, 350.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
430-1(-3.023887854865746e+120 -4.6876509869197625e+226 1.4577795696052898e+76 -3.561820662741412e-267 5.574780663213552e+47 6.828057440380714e+286)(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
370-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
200-1(-868026410702.9691 2.19331019952841e-279 1.1301382875734157e-36 -5.701270388888818e+181 1.4471737415367652e+202 9.125597419304441e-203)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
110-0-(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
00-0-D
00-0-(*.f64 #s(literal 2 binary64) d)
00-0-(/.f64 h l)
00-0-(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
00-0-d
00-0-#s(literal 1 binary64)
00-0-(*.f64 M D)
00-0-w0
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
00-0-#s(literal 2 binary64)
00-0-l
00-0-M
00-0-h
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))oflow-rescue370
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow63
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))overflow65
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))overflow28
(*.f64 M D)overflow23
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow20
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow65
(/.f64 h l)overflow25
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n110
(*.f64 M D)overflow23
*.f64(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))n*o110
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o50
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u40
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow63
(*.f64 M D)overflow23
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow20
(/.f64 h l)underflow26
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))u*o10
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow109
(*.f64 M D)underflow30
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow50
(/.f64 h l)overflow25
Confusion
Predicted +Predicted -
+5213
-7184
Precision
0.8813559322033898
Recall
0.8
Confusion?
Predicted +Predicted MaybePredicted -
+52013
-70184
Precision?
0.8813559322033898
Recall?
0.8
Freqs
test
numberfreq
0197
149
210
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms512×0valid
Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 15.0ms (42.6% of total)
ival-div: 8.0ms (22.7% of total)
ival-pow2: 6.0ms (17% of total)
ival-sub: 3.0ms (8.5% of total)
ival-sqrt: 3.0ms (8.5% of total)
exact: 1.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess217.0ms (1.8%)

Memory
-11.2MiB live, 215.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167501
1461492
21413492
34009492
01718
02618
14718
211218
381618
4461618
5652118
0835718
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.5%
(*.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)

simplify166.0ms (1.4%)

Memory
7.0MiB live, 152.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01795
02695
14795
211295
381695
4461695
5652195
0835795
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

localize41.0ms (0.3%)

Memory
16.1MiB live, 60.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy2.672833072484562
(*.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)))))
accuracy4.6318093096385375
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy8.6546964087511
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy10.193181574264734
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Samples
31.0ms256×0valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 10.0ms (51.5% of total)
ival-div: 3.0ms (15.5% of total)
ival-pow2: 3.0ms (15.5% of total)
ival-sqrt: 2.0ms (10.3% of total)
ival-sub: 1.0ms (5.2% 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 (0.7%)

Memory
-17.0MiB live, 131.3MiB allocated
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
28.0ms
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)))
9.0ms
h
@inf
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
6.0ms
M
@0
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d)))
5.0ms
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)))
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)))

simplify179.0ms (1.5%)

Memory
38.4MiB live, 264.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06264390
124074334
094994188
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)))

rewrite143.0ms (1.2%)

Memory
-37.7MiB live, 203.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01769
02669
17569
241069
3721869
0845766
Stop Event
iter limit
node limit
iter limit
Counts
5 → 339
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Outputs
(*.f64 (*.f64 w0 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(/.f64 (*.f64 w0 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))))
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 2 binary64)))) (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) (-.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)))) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64))))) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64))) (fabs.f64 (neg.f64 d)))
(/.f64 (fabs.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D)) (fabs.f64 d))
(/.f64 (fabs.f64 (*.f64 (neg.f64 M) D)) (fabs.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (fabs.f64 (*.f64 D M)) (fabs.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D))) (exp.f64 (log.f64 d)))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d))))
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d))))
(/.f64 (*.f64 (/.f64 D d) M) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64)) (neg.f64 (neg.f64 d)))
(/.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64)) (neg.f64 d))
(/.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64)) d)
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) (neg.f64 d))
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d)
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d))
(neg.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))
(fabs.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sinh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))))

eval54.0ms (0.4%)

Memory
44.3MiB live, 88.9MiB allocated
Compiler

Compiled 15 345 to 2 438 computations (84.1% saved)

prune33.0ms (0.3%)

Memory
-34.7MiB live, 61.0MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New40818426
Fresh000
Picked011
Done000
Total40819427
Accuracy
83.5%
Counts
427 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
68.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
65.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) M) (*.f64 (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)) M) #s(literal 1 binary64))))
63.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)))))
69.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
71.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
65.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)))))
75.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
73.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
75.5%
(*.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)))))
70.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
67.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))))
62.0%
(*.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)))))
60.7%
(*.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))))
56.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d))))))
9.9%
(*.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))))))
51.0%
(*.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 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
64.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
51.9%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
Compiler

Compiled 980 to 809 computations (17.4% saved)

simplify134.0ms (1.1%)

Memory
7.6MiB live, 98.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
cost-diff1
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
cost-diff5
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
cost-diff1
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
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
#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 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))
cost-diff0
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053534
089516
1178516
2566516
33890511
08110511
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 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.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 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(*.f64 (/.f64 M d) D)
(/.f64 M d)
M
d
D
#s(literal 2 binary64)
(/.f64 h l)
h
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 (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 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(*.f64 (/.f64 M d) M)
(/.f64 M d)
M
d
(/.f64 D d)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(*.f64 (/.f64 M d) M)
(/.f64 M d)
M
d
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h 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 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h 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 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h 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 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))
(*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))
(*.f64 (/.f64 M d) D)
(*.f64 D (/.f64 M d))
(/.f64 M d)
M
d
D
#s(literal 2 binary64)
(/.f64 h l)
h
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 (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 (*.f64 D D) #s(literal -1/4 binary64)) 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 (*.f64 D D) #s(literal -1/4 binary64)) 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 (*.f64 D D) #s(literal -1/4 binary64)) 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 (*.f64 D D) #s(literal -1/4 binary64)) M) (/.f64 (*.f64 (/.f64 h (*.f64 d d)) M) l))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 D D)
D
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(*.f64 (/.f64 (*.f64 h M) d) (/.f64 (/.f64 M l) d))
(/.f64 h (*.f64 d d))
h
(*.f64 d d)
d
(/.f64 (*.f64 M M) l)
(*.f64 M M)
M
l
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) d)) #s(literal -2 binary64)) (/.f64 h l) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) d)) #s(literal -2 binary64)) (/.f64 h l) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) d)) #s(literal -2 binary64)) (/.f64 h l) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
(*.f64 (*.f64 (/.f64 h l) M) (/.f64 (*.f64 D (/.f64 M d)) #s(literal -2 binary64)))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))
(*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) M)
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(*.f64 (/.f64 M d) M)
(/.f64 M d)
M
d
(/.f64 D d)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.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 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(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)))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(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 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
(*.f64 (*.f64 (/.f64 h l) M) (/.f64 (*.f64 D (/.f64 M d)) #s(literal -2 binary64)))
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))
(*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) M)
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(*.f64 (/.f64 M d) M)
(/.f64 M d)
M
d
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
#s(literal 1 binary64)

localize258.0ms (2.1%)

Memory
17.8MiB live, 212.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy2.672833072484562
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy6.183307345012049
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))
accuracy8.6507901587511
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy10.941690353826873
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
accuracy2.684470098062638
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
accuracy6.183307345012049
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))
accuracy8.648816532997914
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))
accuracy10.941690353826873
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
accuracy8.6507901587511
(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)))))
accuracy13.796395072554567
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
accuracy17.986689800618787
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
accuracy39.3397701962475
#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))))
accuracy2.672833072484562
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy22.724366116655116
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy2.672833072484562
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy6.6020371510007365
(*.f64 (/.f64 M d) D)
accuracy8.6507901587511
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy10.189275324264734
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))
Samples
140.0ms255×0valid
0.0ms0invalid
Compiler

Compiled 484 to 52 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 46.0ms (57.9% of total)
ival-div: 16.0ms (20.2% of total)
ival-sqrt: 6.0ms (7.6% of total)
ival-pow2: 5.0ms (6.3% of total)
ival-add: 2.0ms (2.5% of total)
ival-sub: 2.0ms (2.5% of total)
ival-neg: 1.0ms (1.3% 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)

series184.0ms (1.5%)

Memory
-20.1MiB live, 126.1MiB allocated
Counts
20 → 182
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h 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 (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 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 M d) D)
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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 (* (pow M 2) h)) (* d l)))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(/ (* D M) d)
(/ (* (pow M 2) h) (* (pow d 2) l))
(* 1/2 (/ (* D (pow M 2)) 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)))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1 (* (/ (* 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))))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) 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)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (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)))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1 (* 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))))))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) 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)))))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (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 (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/2 (* (/ (* 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 (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))))
(* -1 (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))))
(* -1 (* h (- (* 1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(/ (+ (* 1/2 (* (/ (* d 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)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/2 (/ (* (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)
(+ 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 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (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)))
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (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))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
Calls

18 calls:

TimeVariablePointExpression
48.0ms
h
@-inf
((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h 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)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (* (/ D 2) (* (/ M d) M)))
29.0ms
d
@inf
((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h 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)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (* (/ D 2) (* (/ M d) M)))
21.0ms
w0
@-inf
((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h 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)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (* (/ D 2) (* (/ M d) M)))
11.0ms
M
@-inf
((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h 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)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (* (/ D 2) (* (/ M d) M)))
6.0ms
d
@0
((* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (* (pow (/ (* (/ M d) D) 2) 2) (/ h 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)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1)) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ D d)) 1) (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/ (/ D d) 2)) 1)) (* (/ M d) D) (* (/ h (* d d)) (/ (* M M) l)) (* (/ D 2) (* (/ M d) M)))

simplify235.0ms (1.9%)

Memory
27.8MiB live, 211.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010988971
142808827
082858531
Stop Event
iter limit
node limit
Counts
182 → 181
Calls
Call 1
Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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 (* (pow M 2) h)) (* d l)))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(/ (* D M) d)
(/ (* (pow M 2) h) (* (pow d 2) l))
(* 1/2 (/ (* D (pow M 2)) 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)))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1 (* (/ (* 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))))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) 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)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (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)))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1 (* 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))))))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) 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)))))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (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 (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/2 (* (/ (* 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)))))))
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(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ h l))))
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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)
(/ (+ (* (/ (* 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)
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(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
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(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/2 (/ (* (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)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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(+ 1 (+ (* -1/8 (/ (* (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)))))))
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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)
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(/ (+ (* (* 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)
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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w0
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1
#s(literal 1 binary64)
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (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)))))))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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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(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
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(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) 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)))) (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 (*.f64 d d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #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 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64)) (*.f64 d d)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 d d) D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 d d) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 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 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 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 -1/2 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 -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 d d) D) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 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 -1/2 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (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 -1/2 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 -1/2 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 -1/2 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/2 binary64)) (*.f64 d d)) #s(literal 1 binary64))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64)) (*.f64 d d)))

rewrite271.0ms (2.2%)

Memory
-16.0MiB live, 346.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053387
089369
1265369
21700369
08320358
Stop Event
iter limit
node limit
iter limit
Counts
20 → 636
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h 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 (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 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 M d) D)
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))
Outputs
(*.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.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 (neg.f64 (pow.f64 (fma.f64 (/.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 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.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 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (/.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 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (/.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 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 (/.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 1/4 binary64)) (pow.f64 (fma.f64 (/.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 1/4 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.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 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 (/.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 1/2 binary64))
(/.f64 (neg.f64 (sinh.f64 (acosh.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (neg.f64 (sqrt.f64 (-.f64 (*.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 (neg.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (neg.f64 (sqrt.f64 (fma.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 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.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 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.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 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (*.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 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (fma.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 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))))
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(/.f64 (sinh.f64 (acosh.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (*.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 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (fma.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 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.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 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.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))))
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(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 D (/.f64 M d))
(*.f64 (/.f64 M d) D)
(*.f64 M (/.f64 D d))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) M)) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (neg.f64 D) M) (neg.f64 d))
(/.f64 (*.f64 D M) d)
(*.f64 (/.f64 (/.f64 (*.f64 M M) l) (neg.f64 (neg.f64 d))) (/.f64 h d))
(*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 M) M) l) d) (/.f64 (neg.f64 h) d))
(*.f64 (/.f64 (*.f64 h (neg.f64 M)) (*.f64 d d)) (/.f64 (neg.f64 M) l))
(*.f64 (/.f64 (*.f64 h (neg.f64 M)) l) (/.f64 (neg.f64 M) (*.f64 d d)))
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(*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 d d)))
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(*.f64 (/.f64 (*.f64 h (neg.f64 M)) (neg.f64 d)) (/.f64 (neg.f64 M) (*.f64 (neg.f64 d) l)))
(*.f64 (/.f64 (*.f64 h (neg.f64 M)) d) (/.f64 (neg.f64 M) (*.f64 d l)))
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(*.f64 (/.f64 (*.f64 h M) (neg.f64 d)) (/.f64 M (*.f64 (neg.f64 d) l)))
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(*.f64 (/.f64 h d) (/.f64 (/.f64 (*.f64 M M) l) d))
(*.f64 (*.f64 (/.f64 M d) M) (/.f64 h (*.f64 d l)))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 h M) d) (/.f64 M d)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M M) h))) (neg.f64 (neg.f64 (*.f64 (*.f64 d d) l))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) M) (/.f64 h d))) (neg.f64 (*.f64 (neg.f64 l) d)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) M) (neg.f64 h))) (neg.f64 (*.f64 (neg.f64 l) (*.f64 (neg.f64 d) d))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) M) h)) (neg.f64 (*.f64 (neg.f64 l) (*.f64 d d))))
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (/.f64 h d))) (neg.f64 (*.f64 l d)))
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (neg.f64 h))) (neg.f64 (*.f64 l (*.f64 (neg.f64 d) d))))
(/.f64 (neg.f64 (*.f64 (/.f64 h d) (*.f64 (neg.f64 M) M))) (neg.f64 (*.f64 d (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 (neg.f64 M) M))) (neg.f64 (*.f64 (*.f64 (neg.f64 d) d) (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 h (*.f64 (neg.f64 M) M))) (neg.f64 (*.f64 (*.f64 d d) (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (/.f64 h d) (*.f64 M M))) (neg.f64 (*.f64 d l)))
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 M M))) (neg.f64 (*.f64 (*.f64 (neg.f64 d) d) l)))
(/.f64 (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) (neg.f64 d)) (neg.f64 d))
(/.f64 (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d) d)
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (/.f64 h (*.f64 d d))) (neg.f64 l))
(/.f64 (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) l)) d)
(/.f64 (*.f64 (neg.f64 h) (/.f64 (*.f64 M M) l)) (*.f64 (neg.f64 d) d))
(/.f64 (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h d)) d)
(/.f64 (*.f64 (/.f64 (*.f64 M M) l) (neg.f64 h)) (*.f64 (neg.f64 d) d))
(/.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 (neg.f64 M) M)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M M) l) h)) (*.f64 (neg.f64 d) d))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 h M) d) (/.f64 M d))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 M M) h)) (neg.f64 (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (/.f64 h d)) (*.f64 (neg.f64 l) d))
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (neg.f64 h)) (*.f64 (neg.f64 l) (*.f64 (neg.f64 d) d)))
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) h) (*.f64 (neg.f64 l) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 M M) (/.f64 h d)) (*.f64 l d))
(/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 l (*.f64 (neg.f64 d) d)))
(/.f64 (*.f64 (/.f64 h d) (*.f64 (neg.f64 M) M)) (*.f64 d (neg.f64 l)))
(/.f64 (*.f64 (/.f64 h d) (*.f64 M M)) (*.f64 d l))
(/.f64 (*.f64 (neg.f64 h) (*.f64 (neg.f64 M) M)) (*.f64 (*.f64 (neg.f64 d) d) (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (*.f64 (neg.f64 d) d) l))
(/.f64 (*.f64 h (*.f64 (neg.f64 M) M)) (*.f64 (*.f64 d d) (neg.f64 l)))
(/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) (*.f64 d d))
(/.f64 (*.f64 (/.f64 (*.f64 h M) d) (/.f64 M d)) l)
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))
(*.f64 (/.f64 (*.f64 M M) (neg.f64 d)) (/.f64 D #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 M M) #s(literal -2 binary64)) (/.f64 (neg.f64 D) d))
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(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) M) (/.f64 M d))
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 M M) (neg.f64 d)))
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(*.f64 (*.f64 (/.f64 M d) M) (/.f64 D #s(literal 2 binary64)))
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))
(*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) M)
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(/.f64 (neg.f64 (*.f64 (*.f64 M M) (/.f64 D #s(literal 2 binary64)))) (neg.f64 d))
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(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) (neg.f64 D))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 M M))) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) D))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (neg.f64 D))) (neg.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (neg.f64 (*.f64 (*.f64 M M) D)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 M M))) (neg.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (neg.f64 (*.f64 D (*.f64 M M))) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (*.f64 M M) (/.f64 D #s(literal 2 binary64))) d)
(/.f64 (*.f64 (neg.f64 D) (*.f64 (/.f64 M d) M)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) (neg.f64 D)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 M M)) d)
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 M M) (neg.f64 D)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (neg.f64 D) (*.f64 M M)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 D (*.f64 M M)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 2 binary64))

eval101.0ms (0.8%)

Memory
1.2MiB live, 232.6MiB allocated
Compiler

Compiled 32 927 to 3 696 computations (88.8% saved)

prune41.0ms (0.3%)

Memory
1.5MiB live, 101.8MiB allocated
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New70118719
Fresh7613
Picked415
Done011
Total71226738
Accuracy
84.9%
Counts
738 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.0%
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
77.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
73.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
69.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 M (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
68.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 #s(literal 2 binary64) d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
73.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 M d) (*.f64 D (/.f64 M #s(literal 2 binary64))))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
65.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) M) (*.f64 (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)) M) #s(literal 1 binary64))))
69.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
70.9%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
68.1%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
63.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)))))
71.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
65.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)))))
75.5%
(*.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)))))
77.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l))))))
54.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
64.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
60.7%
(*.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))))
10.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
15.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) D)) D))))
17.6%
(*.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 M) d) (/.f64 M (*.f64 d l)))))))
9.4%
(*.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)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
52.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
51.0%
(*.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 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
64.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
51.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
Compiler

Compiled 1 516 to 1 188 computations (21.6% saved)

simplify124.0ms (1%)

Memory
-18.3MiB live, 167.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
cost-diff1
(*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M)
cost-diff5
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
cost-diff1
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l))
cost-diff0
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D))
cost-diff0
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
cost-diff0
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
cost-diff1
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l))
cost-diff5
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058663
0100663
1221663
21016621
35120621
08532621
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l))
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h))
(*.f64 (*.f64 (/.f64 M d) M) D)
(*.f64 (/.f64 M d) M)
(/.f64 M d)
M
d
D
(neg.f64 h)
h
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D))
(*.f64 (*.f64 (*.f64 M M) h) w0)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
w0
(*.f64 D D)
D
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
#s(literal -1/8 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))
#s(literal -1/4 binary64)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 D D)
D
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l))
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h))
(*.f64 (*.f64 (/.f64 M d) M) D)
(*.f64 (/.f64 M d) M)
(/.f64 M d)
M
d
D
(neg.f64 h)
h
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(/.f64 D d)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M)
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l))
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(/.f64 M d)
M
d
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l))
(/.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) #s(literal -2 binary64)) l)
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h))
(*.f64 (/.f64 (*.f64 (neg.f64 M) M) d) (*.f64 h D))
(*.f64 (*.f64 (/.f64 M d) M) D)
(*.f64 D (*.f64 (/.f64 M d) M))
(*.f64 (/.f64 M d) M)
(/.f64 M d)
M
d
D
(neg.f64 h)
h
(*.f64 #s(literal 2 binary64) l)
(*.f64 l #s(literal 2 binary64))
#s(literal 2 binary64)
l
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) l) (*.f64 (*.f64 (*.f64 (*.f64 D D) w0) h) (*.f64 M M)) w0))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)
(fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) l) (*.f64 (*.f64 (*.f64 (*.f64 D D) w0) h) (*.f64 M M)) w0)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (/.f64 (*.f64 w0 (*.f64 h (/.f64 (*.f64 M (/.f64 M l)) d))) d) (*.f64 D D))
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D))
(*.f64 (*.f64 (*.f64 (*.f64 D D) w0) h) (*.f64 M M))
(*.f64 (*.f64 (*.f64 M M) h) w0)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
w0
(*.f64 D D)
D
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
#s(literal -1/8 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) D) (/.f64 (/.f64 (/.f64 D d) d) l) #s(literal 1 binary64)))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) D) (/.f64 (/.f64 (/.f64 D d) d) l) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))
#s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) D) (/.f64 (/.f64 (/.f64 D d) d) l) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) D) (/.f64 (/.f64 (/.f64 D d) d) l) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) d) l) d) (*.f64 (*.f64 M M) h))
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h))
#s(literal -1/4 binary64)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 D D)
D
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 D d) l) (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) #s(literal -2 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 D d) l) (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 D d) l) (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l))
(/.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) #s(literal -2 binary64)) l)
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h))
(*.f64 (/.f64 (*.f64 (neg.f64 M) M) d) (*.f64 h D))
(*.f64 (*.f64 (/.f64 M d) M) D)
(*.f64 D (*.f64 (/.f64 M d) M))
(*.f64 (/.f64 M d) M)
(/.f64 M d)
M
d
D
(neg.f64 h)
h
(*.f64 #s(literal 2 binary64) l)
(*.f64 l #s(literal 2 binary64))
#s(literal 2 binary64)
l
(/.f64 D d)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M)
(/.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) #s(literal -2 binary64)) l)
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d))
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l))
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(/.f64 (neg.f64 h) l)
(neg.f64 h)
h
l
(/.f64 M d)
M
d
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
#s(literal 1 binary64)

localize246.0ms (2%)

Memory
24.6MiB live, 336.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.672833072484562
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy3.473368333554054
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l))
accuracy8.6507901587511
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy12.08769245842427
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d))
accuracy6.188131307792048
(*.f64 (*.f64 (/.f64 M d) M) D)
accuracy6.244896715590108
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l))
accuracy7.572325783505621
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h))
accuracy8.648816532997914
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64)))
accuracy8.6507901587511
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64))))
accuracy8.940182711685836
(*.f64 (*.f64 M M) h)
accuracy9.392494907043023
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64))
accuracy15.712355148455723
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
accuracy8.940182711685836
(*.f64 (*.f64 M M) h)
accuracy14.179958060475446
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D))
accuracy15.350523066106021
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
accuracy15.438711852565563
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
accuracy6.188131307792048
(*.f64 (*.f64 (/.f64 M d) M) D)
accuracy6.244896715590108
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l))
accuracy7.572325783505621
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h))
accuracy8.6507901587511
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
Samples
149.0ms255×0valid
0.0ms0invalid
Compiler

Compiled 598 to 60 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 66.0ms (66.3% of total)
ival-div: 16.0ms (16.1% of total)
ival-sqrt: 6.0ms (6% of total)
ival-add: 5.0ms (5% of total)
ival-pow2: 3.0ms (3% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series180.0ms (1.5%)

Memory
-8.7MiB live, 338.1MiB allocated
Counts
25 → 195
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64))))
#s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h))
(*.f64 (*.f64 (/.f64 M d) M) D)
(*.f64 (*.f64 M M) h)
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l))
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))
(* (pow D 2) (* (pow M 2) (* h w0)))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (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 (* -1/8 (/ (* (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)))))))))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 (/ (* D (* (pow M 2) h)) d))
(/ (* D (pow M 2)) d)
(* (pow M 2) h)
(* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (/ (* 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 w0))) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (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))))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) 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)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* -1/2 (/ (* D h) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (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) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (+ (* -1/2 (/ (* (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))))))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) 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)))))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* 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))))))))
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(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* 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)))))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))))
(* -1 (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))))
(* -1 (* h (- (* 1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) 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)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/2 (/ (* (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 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (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)))
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* 1/2 (* (/ (* (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 w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
Calls

18 calls:

TimeVariablePointExpression
28.0ms
w0
@-inf
((+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1)) (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1) (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (* w0 (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (* (/ M d) M) D) (neg h)) (* (* (/ M d) M) D) (* (* M M) h) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* (/ D 2) (/ (neg h) l)) (/ M d)) (* (/ D 2) (/ (neg h) l)))
25.0ms
h
@inf
((+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1)) (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1) (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (* w0 (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (* (/ M d) M) D) (neg h)) (* (* (/ M d) M) D) (* (* M M) h) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* (/ D 2) (/ (neg h) l)) (/ M d)) (* (/ D 2) (/ (neg h) l)))
21.0ms
d
@-inf
((+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1)) (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1) (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (* w0 (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (* (/ M d) M) D) (neg h)) (* (* (/ M d) M) D) (* (* M M) h) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* (/ D 2) (/ (neg h) l)) (/ M d)) (* (/ D 2) (/ (neg h) l)))
13.0ms
l
@0
((+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1)) (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1) (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (* w0 (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (* (/ M d) M) D) (neg h)) (* (* (/ M d) M) D) (* (* M M) h) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* (/ D 2) (/ (neg h) l)) (/ M d)) (* (/ D 2) (/ (neg h) l)))
8.0ms
M
@-inf
((+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) w0) (* D D)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (+ (* (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* D D)) 1) (* w0 (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1)) (+ (* (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/ D d)) 1) (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (* w0 (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (* (/ D 2) (/ (neg h) l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (* (/ M d) M) D) (neg h)) (* (* (/ M d) M) D) (* (* M M) h) (/ (* -1/4 (* (* M M) h)) (* (* d d) l)) (* (* (/ D 2) (/ (neg h) l)) (/ M d)) (* (/ D 2) (/ (neg h) l)))

simplify201.0ms (1.6%)

Memory
37.3MiB live, 217.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011329218
143989074
084868771
Stop Event
iter limit
node limit
Counts
195 → 194
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))
(* (pow D 2) (* (pow M 2) (* h w0)))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (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)))))))))
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(/ (* D (pow M 2)) d)
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* -1/2 (/ (* D 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)))))))
(* 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))))) (+ (* 1/16 (* (/ (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 w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 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))))))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (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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(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ h l))))
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(* -1 (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ h l))))
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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)
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(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
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(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/2 (/ (* (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))))))
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(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* 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)
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(/ (+ (* 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)
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/2 (/ (* (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 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) 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)))) (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)
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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)
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(/ (+ (* (* 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)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l)) #s(literal -1/8 binary64) (*.f64 (*.f64 d d) w0)) (*.f64 d 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 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64)) (*.f64 d d)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/2 binary64)) (*.f64 d d)) #s(literal 1 binary64))

rewrite339.0ms (2.8%)

Memory
-18.3MiB live, 275.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058489
0100489
1329476
22523468
08266462
Stop Event
iter limit
node limit
iter limit
Counts
25 → 609
Calls
Call 1
Inputs
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(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l))
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(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
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(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h))
(*.f64 (*.f64 (/.f64 M d) M) D)
(*.f64 (*.f64 M M) h)
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 D (*.f64 (/.f64 M d) M)) l) (/.f64 h #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 D (*.f64 (/.f64 M d) M)) l) (/.f64 h #s(literal -2 binary64)))) (*.f64 (neg.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 D (*.f64 (/.f64 M d) M)) l) (/.f64 h #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 D (*.f64 (/.f64 M d) M)) l) (/.f64 h #s(literal -2 binary64))))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d))) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d))) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (*.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d))) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d))) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
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(*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) (/.f64 #s(literal -1/4 binary64) l))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 l d)))
(*.f64 (/.f64 #s(literal -1/4 binary64) d) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 l d)))
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 #s(literal -1/4 binary64) (*.f64 l d)))
(*.f64 (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d))) #s(literal -1/4 binary64))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 h (*.f64 (*.f64 d d) l)))
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 #s(literal -1/4 binary64) (*.f64 d d)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))
(*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d))))
(*.f64 (*.f64 (*.f64 M M) h) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 d d) l)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 M M) h) l))) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 M M) h))) (neg.f64 l))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l)) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) d)) (neg.f64 (*.f64 l d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h d)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 l) (*.f64 d d)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d))
(/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 M M) h)) l)
(/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) l) (*.f64 d d))
(/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) d) (*.f64 l d))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h d))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h))) (neg.f64 (*.f64 (neg.f64 l) (*.f64 d d))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h d)) l)
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (neg.f64 l) (*.f64 d d)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (neg.f64 l) (*.f64 d d))))
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (/.f64 M d)) (/.f64 D #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d))
(*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M))
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 h) l) (/.f64 M d)))
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (/.f64 (neg.f64 h) l))
(*.f64 (/.f64 M d) (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (neg.f64 h) l) D) (/.f64 M d))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64)) (/.f64 M d))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 h) D) (/.f64 M d))) (*.f64 #s(literal -2 binary64) l))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 (/.f64 (neg.f64 h) l) (/.f64 M d)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 D (*.f64 (/.f64 (neg.f64 h) l) (/.f64 M d)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (neg.f64 M))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (/.f64 M d) (*.f64 (/.f64 (neg.f64 h) l) D))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64)))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (/.f64 M d) (*.f64 (neg.f64 h) D))) (*.f64 #s(literal -2 binary64) l))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) M))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (neg.f64 h) l) D) (neg.f64 M))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64)) (neg.f64 M))) (neg.f64 (*.f64 l (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 h) D) (neg.f64 M))) (neg.f64 (*.f64 (*.f64 l #s(literal 2 binary64)) (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 (neg.f64 h) l) D))) (neg.f64 (*.f64 (neg.f64 d) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 M) (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 d) l)))
(/.f64 (neg.f64 (*.f64 (neg.f64 M) (*.f64 (neg.f64 h) D))) (neg.f64 (*.f64 (neg.f64 d) (*.f64 l #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 M (*.f64 (/.f64 (neg.f64 h) l) D))) (neg.f64 (*.f64 #s(literal 2 binary64) d)))
(/.f64 (neg.f64 (*.f64 M (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64)))) (neg.f64 (*.f64 l d)))
(/.f64 (neg.f64 (*.f64 M (*.f64 (neg.f64 h) D))) (neg.f64 (*.f64 (*.f64 l #s(literal 2 binary64)) d)))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (neg.f64 h) l) D) M)) (neg.f64 (*.f64 #s(literal 2 binary64) d)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64)) M)) (neg.f64 (*.f64 l d)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 h) D) M)) (neg.f64 (*.f64 (*.f64 l #s(literal 2 binary64)) d)))
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 h) l) D) (/.f64 M d)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64)) (/.f64 M d)) l)
(/.f64 (*.f64 (*.f64 (neg.f64 h) D) (/.f64 M d)) (*.f64 l #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 D) (*.f64 (/.f64 (neg.f64 h) l) (/.f64 M d))) #s(literal -2 binary64))
(/.f64 (*.f64 D (*.f64 (/.f64 (neg.f64 h) l) (/.f64 M d))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64)))) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (neg.f64 M)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 M d) (*.f64 (/.f64 (neg.f64 h) l) D)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64))) l)
(/.f64 (*.f64 (/.f64 M d) (*.f64 (neg.f64 h) D)) (*.f64 l #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) M)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 h) l) D) (neg.f64 M)) (*.f64 #s(literal 2 binary64) (neg.f64 d)))
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 h) l) D) M) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64)) (neg.f64 M)) (*.f64 l (neg.f64 d)))
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64)) M) (*.f64 l d))
(/.f64 (*.f64 (*.f64 (neg.f64 h) D) (neg.f64 M)) (*.f64 (*.f64 l #s(literal 2 binary64)) (neg.f64 d)))
(/.f64 (*.f64 (*.f64 (neg.f64 h) D) M) (*.f64 (*.f64 l #s(literal 2 binary64)) d))
(/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 (neg.f64 h) l) D)) (*.f64 (neg.f64 d) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 M) (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64))) (*.f64 (neg.f64 d) l))
(/.f64 (*.f64 (neg.f64 M) (*.f64 (neg.f64 h) D)) (*.f64 (neg.f64 d) (*.f64 l #s(literal 2 binary64))))
(/.f64 (*.f64 M (*.f64 (/.f64 (neg.f64 h) l) D)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64))) (*.f64 l d))
(/.f64 (*.f64 M (*.f64 (neg.f64 h) D)) (*.f64 (*.f64 l #s(literal 2 binary64)) d))
(/.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) M) d)
(*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 h) l) (/.f64 D #s(literal 2 binary64)))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l))
(*.f64 D (/.f64 (/.f64 h l) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 h (/.f64 D #s(literal 2 binary64)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (/.f64 (neg.f64 h) l))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 h) l) (neg.f64 D))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 h) l) D))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 h) D))) (neg.f64 (*.f64 #s(literal -2 binary64) l)))
(/.f64 (neg.f64 (*.f64 h (neg.f64 D))) (neg.f64 (*.f64 (neg.f64 l) #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 h D)) (neg.f64 (*.f64 #s(literal -2 binary64) l)))
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (neg.f64 D))) (neg.f64 (*.f64 #s(literal -2 binary64) l)))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) h)) (neg.f64 (*.f64 #s(literal -2 binary64) (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (neg.f64 h))) (neg.f64 (*.f64 #s(literal -2 binary64) l)))
(/.f64 (*.f64 h (/.f64 D #s(literal 2 binary64))) (neg.f64 l))
(/.f64 (*.f64 (neg.f64 D) (/.f64 (neg.f64 h) l)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (neg.f64 h) l) (neg.f64 D)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) h) (neg.f64 l))
(/.f64 (*.f64 D h) (*.f64 #s(literal -2 binary64) l))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 h) l) D)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (neg.f64 h) D)) (*.f64 #s(literal -2 binary64) l))
(/.f64 (*.f64 h (neg.f64 D)) (*.f64 (neg.f64 l) #s(literal -2 binary64)))
(/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l))
(/.f64 (*.f64 (neg.f64 h) (neg.f64 D)) (*.f64 #s(literal -2 binary64) l))
(/.f64 (*.f64 (neg.f64 D) h) (*.f64 #s(literal -2 binary64) (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 D) (neg.f64 h)) (*.f64 #s(literal -2 binary64) l))
(/.f64 (*.f64 (/.f64 (neg.f64 h) l) D) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64)) (neg.f64 (neg.f64 l)))
(/.f64 (/.f64 (*.f64 (neg.f64 h) D) #s(literal 2 binary64)) l)
(/.f64 (*.f64 (neg.f64 h) D) (neg.f64 (*.f64 #s(literal -2 binary64) l)))
(/.f64 (*.f64 (neg.f64 h) D) (*.f64 l #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 h l)))
(neg.f64 (*.f64 (/.f64 h l) (/.f64 D #s(literal 2 binary64))))

eval161.0ms (1.3%)

Memory
-8.8MiB live, 177.8MiB allocated
Compiler

Compiled 37 406 to 3 997 computations (89.3% saved)

prune83.0ms (0.7%)

Memory
20.8MiB live, 112.7MiB allocated
Pruning

40 alts after pruning (38 fresh and 2 done)

PrunedKeptTotal
New74228770
Fresh91019
Picked505
Done022
Total75640796
Accuracy
84.9%
Counts
796 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
13.0%
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
73.7%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) d) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
78.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
64.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
77.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
73.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
68.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64))))
69.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 M (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
65.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) M)) (/.f64 D d) #s(literal 1 binary64))))
69.4%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (/.f64 (/.f64 h l) #s(literal -2 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
69.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
66.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
68.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 D (*.f64 (*.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
68.1%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
63.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)))))
71.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
65.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)))))
75.5%
(*.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)))))
77.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l))))))
72.0%
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
55.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
64.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
58.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
67.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
10.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
15.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) D)) D))))
17.6%
(*.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 M) d) (/.f64 M (*.f64 d l)))))))
64.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
63.8%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d)) w0))
52.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
45.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
46.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
50.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
68.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
54.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
52.4%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
57.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
19.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) l))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) #s(literal 2 binary64)) (*.f64 w0 (-.f64 w0 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) l))))))) (/.f64 (pow.f64 w0 #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) #s(literal 2 binary64)) (*.f64 w0 (-.f64 w0 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) l)))))))))
9.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
Compiler

Compiled 2 560 to 1 878 computations (26.6% saved)

simplify490.0ms (4%)

Memory
8.8MiB live, 154.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M)
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
cost-diff1
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
cost-diff1
(/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d))
cost-diff0
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l))
cost-diff0
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))
cost-diff0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l))))
cost-diff0
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
cost-diff0
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))
cost-diff0
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
cost-diff0
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
cost-diff1
(/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l))
cost-diff1
(fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081699
0125703
1289703
21326691
35266685
08780683
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l))
(*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h)))
(/.f64 M d)
M
d
(*.f64 (*.f64 D M) (neg.f64 h))
(*.f64 D M)
D
(neg.f64 h)
h
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D))
(*.f64 (*.f64 (*.f64 M M) h) w0)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
w0
(*.f64 D D)
D
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
#s(literal -1/8 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
(*.f64 D D)
D
#s(literal -1/4 binary64)
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d))
(*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M))
(*.f64 (neg.f64 h) D)
(neg.f64 h)
h
D
(*.f64 M M)
M
(*.f64 (*.f64 l #s(literal 2 binary64)) d)
(*.f64 l #s(literal 2 binary64))
l
#s(literal 2 binary64)
d
(/.f64 D d)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M)
(*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d))
(/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l))
(*.f64 h D)
h
D
(*.f64 #s(literal -2 binary64) l)
#s(literal -2 binary64)
l
(/.f64 M d)
M
d
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
#s(literal 2 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (/.f64 D d) #s(literal 4 binary64)) l) (*.f64 (/.f64 (neg.f64 M) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (/.f64 D d) #s(literal 4 binary64)) l) (*.f64 (/.f64 (neg.f64 M) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (/.f64 D d) #s(literal 4 binary64)) l) (*.f64 (/.f64 (neg.f64 M) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) l) #s(literal -2 binary64)) h)
(*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h)))
(*.f64 (/.f64 (neg.f64 M) d) (*.f64 (*.f64 h D) M))
(/.f64 M d)
M
d
(*.f64 (*.f64 D M) (neg.f64 h))
(*.f64 (*.f64 (neg.f64 M) D) h)
(*.f64 D M)
D
(neg.f64 h)
h
(*.f64 #s(literal 2 binary64) l)
(*.f64 l #s(literal 2 binary64))
#s(literal 2 binary64)
l
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) l) (*.f64 (*.f64 (*.f64 (*.f64 D D) w0) h) (*.f64 M M)))))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) l) (*.f64 (*.f64 (*.f64 (*.f64 D D) w0) h) (*.f64 M M))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) l) (*.f64 (*.f64 (*.f64 (*.f64 D D) w0) h) (*.f64 M M)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (/.f64 (/.f64 (/.f64 D d) d) l) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D))
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D))
(*.f64 (*.f64 (*.f64 (*.f64 D D) w0) h) (*.f64 M M))
(*.f64 (*.f64 (*.f64 M M) h) w0)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
w0
(*.f64 D D)
D
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
#s(literal -1/8 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) d) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))))) w0)
w0
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) d) (*.f64 #s(literal -1/4 binary64) (*.f64 D D)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) d) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l))
(*.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) d) (*.f64 #s(literal -1/4 binary64) (*.f64 D D)))
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 D D))
(*.f64 (*.f64 M M) h)
(*.f64 M M)
M
h
(*.f64 (*.f64 D D) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
(*.f64 D D)
D
#s(literal -1/4 binary64)
(*.f64 (*.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 D d) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) l) #s(literal -2 binary64)) h) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 D d) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) l) #s(literal -2 binary64)) h) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (/.f64 D d) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) l) #s(literal -2 binary64)) h) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) l) #s(literal -2 binary64)) h)
(*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M))
(*.f64 (*.f64 (neg.f64 M) M) (*.f64 h D))
(*.f64 (neg.f64 h) D)
(neg.f64 h)
h
D
(*.f64 M M)
M
(*.f64 (*.f64 l #s(literal 2 binary64)) d)
(*.f64 l #s(literal 2 binary64))
l
#s(literal 2 binary64)
d
(/.f64 D d)
#s(literal 1 binary64)
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (/.f64 D d) #s(literal 4 binary64)) l) (*.f64 (/.f64 (neg.f64 M) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))) w0)
w0
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (/.f64 D d) #s(literal 4 binary64)) l) (*.f64 (/.f64 (neg.f64 M) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (/.f64 D d) #s(literal 4 binary64)) l) (*.f64 (/.f64 (neg.f64 M) d) (*.f64 (*.f64 h D) M)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M)
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) l) #s(literal -2 binary64)) h)
(*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d))
(*.f64 (/.f64 (/.f64 (/.f64 M d) #s(literal -2 binary64)) l) (*.f64 h D))
(/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l))
(*.f64 (/.f64 (/.f64 h #s(literal -2 binary64)) l) D)
(*.f64 h D)
h
D
(*.f64 #s(literal -2 binary64) l)
#s(literal -2 binary64)
l
(/.f64 M d)
M
d
(/.f64 (/.f64 D d) #s(literal 2 binary64))
(/.f64 D d)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize244.0ms (2%)

Memory
-24.2MiB live, 217.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.672833072484562
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy3.724610711288667
(/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l))
accuracy8.6507901587511
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy12.08769245842427
(*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d))
accuracy2.684470098062638
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
accuracy8.648816532997914
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64)))
accuracy10.27206592673413
(/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d))
accuracy13.954031594660801
(*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M))
accuracy8.940182711685836
(*.f64 (*.f64 M M) h)
accuracy14.855945151784425
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l))
accuracy15.227565162399012
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))
accuracy39.3397701962475
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))
accuracy14.179958060475446
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D))
accuracy15.350523066106021
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
accuracy15.438711852565563
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
accuracy38.934030518311886
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
accuracy4.733564403850274
(*.f64 (*.f64 D M) (neg.f64 h))
accuracy5.147779009895853
(*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h)))
accuracy6.244896715590108
(/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l))
accuracy8.6507901587511
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
Samples
183.0ms255×0valid
0.0ms0invalid
Compiler

Compiled 594 to 73 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 96.0ms (71.4% of total)
ival-div: 17.0ms (12.6% of total)
ival-sqrt: 8.0ms (5.9% of total)
ival-add: 5.0ms (3.7% of total)
ival-pow2: 5.0ms (3.7% of total)
ival-sub: 2.0ms (1.5% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series158.0ms (1.3%)

Memory
-5.5MiB live, 187.4MiB allocated
Counts
28 → 196
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M)
(*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h)))
(*.f64 (*.f64 D M) (neg.f64 h))
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D))
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))
(*.f64 (*.f64 M M) h)
(*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M))
(*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d))
(/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l))
Outputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* (pow D 2) (* (pow M 2) (* h w0)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (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 (* -1/8 (/ (* (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)))))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 (/ (* D (* (pow M 2) h)) d))
(* -1 (* D (* M h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* (pow M 2) h)
(* -1 (* D (* (pow M 2) h)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (/ (* 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) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (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))))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 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)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* -1/2 (/ (* D h) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (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) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (+ (* -1/2 (/ (* (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))))))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) 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)))))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* 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))))))))
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(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
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(* -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 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))
(* -1 (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (* w0 (sqrt -1))) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (* (sqrt -1) (sqrt 1/2))))) d) (sqrt (/ 1 (* h l)))))))))
(* -1 (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d (sqrt -1)) (* D (* M (sqrt 1/2)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* (sqrt -1) (sqrt 1/2)))) d) (sqrt (/ 1 (* h l)))))))))
(* -1 (* h (- (* 1/2 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) 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)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/2)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ l (* -1/2 (/ (* (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 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (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)))
(+ w0 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* 1/2 (* (/ (* (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 w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
Calls

18 calls:

TimeVariablePointExpression
30.0ms
d
@inf
((+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* M M) h) (* (* D D) -1/4)) (* (* d d) l)) (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (* w0 (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1)) (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1) (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (* (/ M d) (* (* D M) (neg h))) (* (* D M) (neg h)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) (* (* D D) -1/4)) (* (* M M) h) (* (* (neg h) D) (* M M)) (* (/ (* h D) (* -2 l)) (/ M d)) (/ (* h D) (* -2 l)))
20.0ms
M
@-inf
((+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* M M) h) (* (* D D) -1/4)) (* (* d d) l)) (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (* w0 (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1)) (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1) (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (* (/ M d) (* (* D M) (neg h))) (* (* D M) (neg h)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) (* (* D D) -1/4)) (* (* M M) h) (* (* (neg h) D) (* M M)) (* (/ (* h D) (* -2 l)) (/ M d)) (/ (* h D) (* -2 l)))
19.0ms
M
@0
((+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* M M) h) (* (* D D) -1/4)) (* (* d d) l)) (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (* w0 (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1)) (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1) (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (* (/ M d) (* (* D M) (neg h))) (* (* D M) (neg h)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) (* (* D D) -1/4)) (* (* M M) h) (* (* (neg h) D) (* M M)) (* (/ (* h D) (* -2 l)) (/ M d)) (/ (* h D) (* -2 l)))
9.0ms
h
@inf
((+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* M M) h) (* (* D D) -1/4)) (* (* d d) l)) (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (* w0 (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1)) (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1) (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (* (/ M d) (* (* D M) (neg h))) (* (* D M) (neg h)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) (* (* D D) -1/4)) (* (* M M) h) (* (* (neg h) D) (* M M)) (* (/ (* h D) (* -2 l)) (/ M d)) (/ (* h D) (* -2 l)))
7.0ms
D
@inf
((+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1) (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (* w0 (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1))) (sqrt (+ (* (/ (* (/ M d) (* (* D M) (neg h))) (* 2 l)) (/ (/ D d) 2)) 1)) (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (* (* (* M M) h) (* (* D D) -1/4)) (* (* d d) l)) (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (* w0 (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1))) (sqrt (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1)) (+ (* (/ (* (* (neg h) D) (* M M)) (* (* l 2) d)) (/ D d)) 1) (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1) (* w0 (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1))) (sqrt (+ (* (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (/ (/ D d) 2)) 1)) (* (* (/ (* h D) (* -2 l)) (/ M d)) M) (* (/ M d) (* (* D M) (neg h))) (* (* D M) (neg h)) (* (* (* (* M M) h) w0) (* D D)) (* (* (* M M) h) (* (* D D) -1/4)) (* (* M M) h) (* (* (neg h) D) (* M M)) (* (/ (* h D) (* -2 l)) (/ M d)) (/ (* h D) (* -2 l)))

simplify224.0ms (1.8%)

Memory
-2.0MiB live, 227.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011339223
144049079
085078776
Stop Event
iter limit
node limit
Counts
196 → 195
Calls
Call 1
Inputs
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* (pow D 2) (* (pow M 2) (* h w0)))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (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 (* -1/8 (/ (* (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)))))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1 (/ (* D (* (pow M 2) h)) d))
(* -1 (* D (* M h)))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(* (pow M 2) h)
(* -1 (* D (* (pow M 2) h)))
(* -1/2 (/ (* D (* M h)) (* d l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (/ (* 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) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/2 (/ (* (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))))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/2)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/2))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/2)) 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)))))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* -1/2 (/ (* D h) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (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) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* 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 w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/2)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* -1/2 (/ (* (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 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))) w0)
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))) w0)
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) w0)
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(* w0 (sqrt (+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0)
(* (pow D 2) (* (pow M 2) (* h w0)))
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D))
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(*.f64 (neg.f64 w0) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))
(* -1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) 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 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) #s(literal -1/8 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 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) (*.f64 M M) w0)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #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 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h M) (*.f64 h M)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) 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 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 h h) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))
(+ w0 (* -1/4 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64) w0)
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (*.f64 l l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) (*.f64 M M) w0)
(+ w0 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 l l))) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64))) (*.f64 M M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64))) (*.f64 M M) w0)
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h M) (*.f64 h M)) (*.f64 l l))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 h h) (*.f64 l l))) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(* -1 (/ (* D (* (pow M 2) h)) d))
(*.f64 (neg.f64 D) (/.f64 (*.f64 (*.f64 M M) h) d))
(* -1 (* D (* M h)))
(*.f64 (neg.f64 D) (*.f64 h M))
(* -1/4 (* (pow D 2) (* (pow M 2) h)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* -1 (* D (* (pow M 2) h)))
(*.f64 (*.f64 D (*.f64 M M)) (neg.f64 h))
(* -1/2 (/ (* D (* M h)) (* d l)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 h M) D)) (*.f64 l d))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 M M) #s(literal 1 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* 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 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #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) (*.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #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 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))))) #s(literal -1/8 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 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #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 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #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) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #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) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 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 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #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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(* 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) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/2))) d) (sqrt (/ h l)))))))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/2)) d) (sqrt (/ h l)))))))
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(* (pow D 2) (+ (* -1/2 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/2 binary64)) (*.f64 d d)) #s(literal 1 binary64))

rewrite165.0ms (1.4%)

Memory
44.4MiB live, 184.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081559
0125563
1411551
23086527
08439519
Stop Event
iter limit
node limit
iter limit
Counts
28 → 718
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l))
(/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M)
(*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h)))
(*.f64 (*.f64 D M) (neg.f64 h))
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D))
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64)))
(*.f64 (*.f64 M M) h)
(*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M))
(*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d))
(/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l))
Outputs
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (/.f64 M #s(literal 2 binary64))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64)))) M #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 h l))) (*.f64 (/.f64 M d) M) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 h) (/.f64 (*.f64 D M) l)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 M d)) (*.f64 (/.f64 (*.f64 D M) l) (/.f64 h #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h D) M)) d) (neg.f64 l)) (/.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 h #s(literal -2 binary64))) (/.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) l) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 h) (/.f64 (*.f64 D M) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 h l)) (*.f64 (/.f64 M d) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 h (*.f64 #s(literal -2 binary64) l)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (/.f64 h (*.f64 #s(literal -2 binary64) l)) (/.f64 (*.f64 (*.f64 M M) D) d)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 h (*.f64 #s(literal -2 binary64) l)) (/.f64 (*.f64 (*.f64 M M) D) d)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 h (*.f64 #s(literal -2 binary64) l)) (/.f64 (*.f64 (*.f64 M M) D) d)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 (/.f64 D d) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) l)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 h l)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64))
(fma.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 h #s(literal -2 binary64))) (/.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 1 binary64))
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(/.f64 (*.f64 D (/.f64 h #s(literal -2 binary64))) l)
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eval175.0ms (1.4%)

Memory
-12.4MiB live, 135.1MiB allocated
Compiler

Compiled 32 781 to 3 734 computations (88.6% saved)

prune91.0ms (0.7%)

Memory
-22.7MiB live, 123.0MiB allocated
Pruning

44 alts after pruning (40 fresh and 4 done)

PrunedKeptTotal
New66125686
Fresh181533
Picked325
Done022
Total68244726
Accuracy
84.9%
Counts
726 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
13.3%
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d d)) (/.f64 #s(literal -1/4 binary64) l)))) w0)
73.1%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h D) M)) d) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
64.9%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
71.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
73.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
73.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 h #s(literal -2 binary64))) (/.f64 D d)) #s(literal 1 binary64))))
69.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 M (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
69.3%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
70.8%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
68.2%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 D (*.f64 (*.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
65.0%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (/.f64 D (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) l) d)) #s(literal 1 binary64))))
70.5%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 #s(literal 2 binary64) d) l))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
68.1%
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
71.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
65.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)))))
75.5%
(*.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)))))
77.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l))))))
76.7%
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
55.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
64.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
58.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
67.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
11.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 #s(literal -1/4 binary64) D)) (*.f64 (*.f64 d d) l)))))
13.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)))))
13.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 d d) l)))))
13.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h))) (*.f64 (*.f64 d d) l)))))
15.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 #s(literal -1/4 binary64) (*.f64 D (/.f64 D l)))))))
10.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 D (/.f64 D l))) (*.f64 (*.f64 M M) h)))))
15.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 d d))) (*.f64 #s(literal -1/4 binary64) D)) D))))
17.6%
(*.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 M) d) (/.f64 M (*.f64 d l)))))))
64.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
50.2%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
19.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) l))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) #s(literal 2 binary64)) (*.f64 w0 (-.f64 w0 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) l))))))) (/.f64 (pow.f64 w0 #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) #s(literal 2 binary64)) (*.f64 w0 (-.f64 w0 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) l)))))))))
14.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d)))))
10.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
9.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
9.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
12.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
12.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
11.7%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
13.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 D D) w0) l)) #s(literal -1/8 binary64))))
9.6%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
10.0%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
Compiler

Compiled 4 736 to 1 777 computations (62.5% saved)

regimes367.0ms (3%)

Memory
3.7MiB live, 571.0MiB allocated
Counts
90 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 #s(literal -1/4 binary64) 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 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 D D) w0) l)) #s(literal -1/8 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (/.f64 D (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) l) 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 M) d) (/.f64 M (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 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 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 D (/.f64 D l))) (*.f64 (*.f64 M M) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #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))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 D (*.f64 (*.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 #s(literal -1/4 binary64) (*.f64 D (/.f64 D l)))))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (/.f64 (/.f64 h l) #s(literal -2 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 h #s(literal -2 binary64))) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 #s(literal 2 binary64) d) l))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 M (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h D) M)) d) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 #s(literal 2 binary64) d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) d) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 M d) (*.f64 D (/.f64 M #s(literal 2 binary64))))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d)) w0))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l)))))
(*.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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d d)) (/.f64 #s(literal -1/4 binary64) l)))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) M) (*.f64 (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)) M) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) l))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) #s(literal 2 binary64)) (*.f64 w0 (-.f64 w0 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) l))))))) (/.f64 (pow.f64 w0 #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (*.f64 (*.f64 d d) l)) #s(literal 2 binary64)) (*.f64 w0 (-.f64 w0 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 w0 h)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) l)))))))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
Calls

15 calls:

47.0ms
h
36.0ms
l
28.0ms
(/.f64 h l)
24.0ms
w0
22.0ms
(*.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
81.6%2(/.f64 h l)
81.7%2(*.f64 #s(literal 2 binary64) d)
78.5%1(*.f64 M D)
82.0%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
82.0%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
83.0%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
83.0%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
83.0%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
83.0%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
78.5%1w0
80.4%2M
80.3%2D
82.0%3h
80.9%2l
81.7%2d
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes136.0ms (1.1%)

Memory
30.6MiB live, 267.2MiB allocated
Counts
74 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 #s(literal -1/4 binary64) 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 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 D D) w0) l)) #s(literal -1/8 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (/.f64 D (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) l) 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 M) d) (/.f64 M (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 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 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 D (/.f64 D l))) (*.f64 (*.f64 M M) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #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))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 D (*.f64 (*.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 #s(literal -1/4 binary64) (*.f64 D (/.f64 D l)))))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (/.f64 (/.f64 h l) #s(literal -2 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 h #s(literal -2 binary64))) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 #s(literal 2 binary64) d) l))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 M (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h D) M)) d) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 #s(literal 2 binary64) d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) d) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
Calls

8 calls:

19.0ms
(*.f64 #s(literal 2 binary64) d)
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)))))
18.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
18.0ms
d
16.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
81.7%2(*.f64 #s(literal 2 binary64) d)
81.7%2d
78.5%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
78.5%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
78.5%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)))
78.5%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))))
78.5%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)))))
78.5%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 82 to 96 computations (-17.1% saved)

regimes145.0ms (1.2%)

Memory
-2.6MiB live, 281.9MiB allocated
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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 #s(literal -1/4 binary64) 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 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 D D) w0) l)) #s(literal -1/8 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (/.f64 D (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) l) 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 M) d) (/.f64 M (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 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 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 D (/.f64 D l))) (*.f64 (*.f64 M M) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #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))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 D (*.f64 (*.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 #s(literal -1/4 binary64) (*.f64 D (/.f64 D l)))))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (/.f64 (/.f64 h l) #s(literal -2 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 h #s(literal -2 binary64))) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 #s(literal 2 binary64) d) l))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 M (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h D) M)) d) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 #s(literal 2 binary64) d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) D) d) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
Calls

8 calls:

19.0ms
d
19.0ms
(*.f64 #s(literal 2 binary64) d)
19.0ms
l
19.0ms
h
18.0ms
M
Results
AccuracySegmentsBranch
78.5%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
78.5%1D
78.5%1h
78.5%1M
78.5%1l
78.5%1(/.f64 h l)
78.5%1(*.f64 #s(literal 2 binary64) d)
78.5%1d
Compiler

Compiled 24 to 58 computations (-141.7% saved)

regimes255.0ms (2.1%)

Memory
-23.6MiB live, 501.1MiB allocated
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)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 #s(literal -1/4 binary64) 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 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 D D) w0) l)) #s(literal -1/8 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (/.f64 D (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) l) 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 M) d) (/.f64 M (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 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 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 D (/.f64 D l))) (*.f64 (*.f64 M M) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #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))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 D (*.f64 (*.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 #s(literal -1/4 binary64) (*.f64 D (/.f64 D l)))))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (/.f64 (/.f64 h l) #s(literal -2 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 h #s(literal -2 binary64))) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 #s(literal 2 binary64) d) l))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 M (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h D) M)) d) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 #s(literal 2 binary64) d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
Calls

15 calls:

24.0ms
(*.f64 M D)
18.0ms
M
18.0ms
l
18.0ms
w0
18.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
77.6%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
77.6%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
77.6%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
77.6%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
77.6%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
77.6%1M
77.6%1(/.f64 h l)
79.3%2(*.f64 #s(literal 2 binary64) d)
77.6%1(*.f64 M D)
79.3%2d
77.6%1w0
77.6%1D
77.6%1h
77.6%1l
77.6%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes419.0ms (3.4%)

Memory
66.8MiB live, 607.8MiB allocated
Counts
65 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 #s(literal -1/4 binary64) 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 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 D D) w0) l)) #s(literal -1/8 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (/.f64 D (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) l) 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 M) d) (/.f64 M (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 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 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 D (/.f64 D l))) (*.f64 (*.f64 M M) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #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))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 D (*.f64 (*.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 #s(literal -1/4 binary64) (*.f64 D (/.f64 D l)))))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (/.f64 (/.f64 h l) #s(literal -2 binary64)))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) M)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 (*.f64 D M) l) (/.f64 h #s(literal -2 binary64))) (/.f64 D d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 h) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 #s(literal 2 binary64) d) l))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (*.f64 (*.f64 #s(literal 2 binary64) d) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D d) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 M (/.f64 (neg.f64 h) l))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h D) (*.f64 #s(literal -2 binary64) l)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
Calls

15 calls:

78.0ms
(/.f64 h l)
52.0ms
h
36.0ms
(*.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)))))
35.0ms
w0
29.0ms
D
Results
AccuracySegmentsBranch
76.7%1(*.f64 M D)
76.7%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
78.4%2M
76.7%1(/.f64 h l)
76.7%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
76.7%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)))
76.7%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))))
76.7%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)))))
76.7%1h
76.7%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
76.7%1w0
76.7%1D
76.7%1l
78.9%2(*.f64 #s(literal 2 binary64) d)
78.9%2d
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes34.0ms (0.3%)

Memory
-31.3MiB live, 65.5MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 #s(literal -1/4 binary64) 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 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 D D) w0) l)) #s(literal -1/8 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (/.f64 D (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) l) 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 M) d) (/.f64 M (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 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 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 D (/.f64 D l))) (*.f64 (*.f64 M M) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #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))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 D (*.f64 (*.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 #s(literal -1/4 binary64) (*.f64 D (/.f64 D l)))))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (*.f64 D (/.f64 M d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
Calls

2 calls:

15.0ms
d
14.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
78.9%2(*.f64 #s(literal 2 binary64) d)
78.9%2d
Compiler

Compiled 4 to 14 computations (-250% saved)

regimes45.0ms (0.4%)

Memory
45.5MiB live, 91.9MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 #s(literal -1/4 binary64) 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 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 D D) w0) l)) #s(literal -1/8 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (/.f64 D (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) l) 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 M) d) (/.f64 M (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 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 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 D (/.f64 D l))) (*.f64 (*.f64 M M) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #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))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 D (*.f64 (*.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 #s(literal -1/4 binary64) (*.f64 D (/.f64 D l)))))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #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 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
Calls

3 calls:

15.0ms
(*.f64 #s(literal 2 binary64) d)
14.0ms
M
14.0ms
d
Results
AccuracySegmentsBranch
78.4%2M
76.7%1(*.f64 #s(literal 2 binary64) d)
76.7%1d
Compiler

Compiled 5 to 20 computations (-300% saved)

regimes17.0ms (0.1%)

Memory
-13.4MiB live, 33.5MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 #s(literal -1/4 binary64) 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 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 D D) w0) l)) #s(literal -1/8 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (/.f64 D (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) l) 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 M) d) (/.f64 M (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 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 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 D (/.f64 D l))) (*.f64 (*.f64 M M) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #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))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 D (*.f64 (*.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 #s(literal -1/4 binary64) (*.f64 D (/.f64 D l)))))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
Calls

1 calls:

13.0ms
M
Results
AccuracySegmentsBranch
78.4%2M
Compiler

Compiled 1 to 6 computations (-500% saved)

regimes190.0ms (1.6%)

Memory
3.7MiB live, 381.3MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 #s(literal -1/4 binary64) 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 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 D D) w0) l)) #s(literal -1/8 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (/.f64 D (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) l) 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 M) d) (/.f64 M (*.f64 d l)))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 h M) l) (/.f64 M (*.f64 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 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 D (/.f64 D l))) (*.f64 (*.f64 M M) h)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) D #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) d) (/.f64 h (*.f64 l d))) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (* (/ (neg h) l) (* (/ D 2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ (* (* (* (/ M d) M) D) (neg h)) (* 2 l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #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))))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 D (*.f64 (*.f64 l #s(literal 2 binary64)) d)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 M M)) (*.f64 (*.f64 l #s(literal 2 binary64)) d)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 #s(literal -1/4 binary64) (*.f64 D (/.f64 D l)))))))
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) d) (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d)))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 D d) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) D) (*.f64 (/.f64 M d) M)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0)
Outputs
(*.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 M) d) (/.f64 M (*.f64 d l)))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

15 calls:

14.0ms
D
14.0ms
(*.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)))))
14.0ms
l
14.0ms
M
13.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
73.6%1(*.f64 #s(literal 2 binary64) d)
77.8%3(*.f64 M D)
76.1%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
76.1%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
73.6%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
73.6%1d
73.6%1(/.f64 h l)
76.6%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)))
76.6%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
73.6%1h
75.3%2l
76.6%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
73.6%1D
73.6%1w0
75.5%2M
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes204.0ms (1.7%)

Memory
21.2MiB live, 256.2MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 #s(literal -1/4 binary64) 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 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 h M) M)) (*.f64 (*.f64 d d) l)) (*.f64 D D) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 D D) w0) l)) #s(literal -1/8 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M (*.f64 D M)) (neg.f64 h)) (/.f64 D (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) d) l) 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))))))
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) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
Calls

15 calls:

76.0ms
(*.f64 M D)
12.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
12.0ms
h
11.0ms
d
9.0ms
M
Results
AccuracySegmentsBranch
72.1%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
68.3%1w0
68.3%1h
70.2%2(/.f64 h l)
68.3%1(*.f64 #s(literal 2 binary64) d)
71.0%2D
68.3%1d
68.3%1l
71.3%2M
71.7%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
71.7%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
74.9%3(*.f64 M D)
73.0%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
73.0%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
73.3%2(*.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)

regimes19.0ms (0.2%)

Memory
-21.7MiB live, 26.0MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) h))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) M) (*.f64 h M)) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal -1/4 binary64))) (*.f64 (*.f64 d d) l)))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 #s(literal -1/4 binary64) 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)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D 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

2 calls:

11.0ms
(*.f64 M D)
6.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
73.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
71.1%2(*.f64 M D)
Compiler

Compiled 16 to 20 computations (-25% saved)

regimes20.0ms (0.2%)

Memory
-15.2MiB live, 29.5MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) #s(approx (* (/ h (* d d)) (/ (* M M) l)) (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))))))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))
Calls

3 calls:

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)))
5.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
5.0ms
(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
72.2%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
72.2%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
72.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 44 to 44 computations (0% saved)

regimes20.0ms (0.2%)

Memory
35.2MiB live, 35.2MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 w0 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal -1/8 binary64) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 (*.f64 D D) w0) (*.f64 l d))) #s(literal -1/8 binary64) w0))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #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)))))
5.0ms
(*.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))))
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
72.1%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
72.2%3(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
72.1%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)))
72.1%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 62 to 61 computations (1.6% saved)

regimes3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 h (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 (*.f64 w0 h) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h M) M) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) w0))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
71.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes605.0ms (5%)

Memory
-83.6MiB live, 44.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

15 calls:

587.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
1.0ms
l
1.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms
D
1.0ms
(/.f64 h l)
Results
AccuracySegmentsBranch
64.4%1l
64.4%1w0
64.4%1(*.f64 #s(literal 2 binary64) d)
64.4%1h
64.4%1d
64.4%1(/.f64 h l)
69.7%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)))
69.7%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))))
69.6%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)))))
64.4%1D
67.7%2(*.f64 M D)
67.9%2M
69.0%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
68.6%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
69.7%2(*.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)

regimes18.0ms (0.1%)

Memory
-74.4MiB live, 25.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

10 calls:

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
h
1.0ms
M
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))))
1.0ms
D
Results
AccuracySegmentsBranch
64.4%1D
64.4%1h
64.4%1(*.f64 M D)
64.4%1M
64.4%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)))))
64.4%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)))
64.4%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))))
64.4%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
64.4%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
64.4%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 84 to 107 computations (-27.4% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.041436906951480126
0.7953057968271983
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch6.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
7.132826857625442e-199
1.3715524974694438e-196
Samples
3.0ms32×0valid
0.0ms0invalid
Compiler

Compiled 119 to 114 computations (4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (44% of total)
ival-mult: 1.0ms (44% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-pow2: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
-12.4MiB live, 34.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
3.260301257827225e-179
1.926729828288753e-175
Samples
16.0ms128×0valid
3.0ms26×0invalid
Compiler

Compiled 373 to 338 computations (9.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (41.4% of total)
ival-div: 2.0ms (20.7% of total)
ival-pow2: 2.0ms (20.7% of total)
ival-sub: 1.0ms (10.4% of total)
ival-sqrt: 1.0ms (10.4% 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)

bsearch22.0ms (0.2%)

Memory
31.9MiB live, 31.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
3.260301257827225e-179
1.926729828288753e-175
Samples
11.0ms112×0valid
3.0ms28×0invalid
Compiler

Compiled 373 to 338 computations (9.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (33.8% of total)
ival-div: 2.0ms (22.5% of total)
ival-sub: 1.0ms (11.3% of total)
ival-sqrt: 1.0ms (11.3% of total)
ival-pow2: 1.0ms (11.3% 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)

bsearch7.0ms (0.1%)

Memory
-41.6MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.260301257827225e-179
1.926729828288753e-175
Compiler

Compiled 373 to 338 computations (9.4% saved)

bsearch15.0ms (0.1%)

Memory
22.4MiB live, 22.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
2.1788248426597118e-244
1.7012192808543014e-243
Samples
9.0ms96×0valid
0.0ms0invalid
Compiler

Compiled 279 to 272 computations (2.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (33.1% of total)
ival-div: 1.0ms (16.5% of total)
ival-sqrt: 1.0ms (16.5% of total)
ival-pow2: 1.0ms (16.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.1788248426597118e-244
1.7012192808543014e-243
Compiler

Compiled 273 to 266 computations (2.6% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-34573078071165526000.0
-2523423.456191845
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.400232968124562e+131
2.109962329021521e+132
0.0ms
1.6047737397023196e-152
4.984684911933234e-151
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-34573078071165526000.0
-2523423.456191845
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.8140729741466203e+109
4.3744624155583095e+109
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.54133419019386e+64
-4.467751130016775e+61
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.54133419019386e+64
-4.467751130016775e+61
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.9135921425132238e+219
-7.919006703822405e+218
Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify69.0ms (0.6%)

Memory
-21.7MiB live, 120.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0198995
1290995
2728994
35507994
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l)))))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal 2693189581592767/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 d #s(literal 6934909738785737/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 D (/.f64 M d)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal 3386186395891473/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 D (/.f64 M d)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal 3386186395891473/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (*.f64 D (/.f64 M d)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 5573580493704609/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 5573580493704609/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000000 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 (*.f64 h M) d) (/.f64 M (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 M D) #s(literal 4717453031026927/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64))))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D 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))))
(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 39999999999999999274034828753599231458870603857312684991833593479596290217520213192823213697572550705053433856 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0)))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -49999999999999999604519313141816925411378060847115227682784149504 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -49999999999999999604519313141816925411378060847115227682784149504 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))) (*.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 -999999999999999965084388885482519417592855130626093842171043595190833186399051537317196816706799625297221478016185520727674168639944850288849622355474122345476546392575499689981548348018063279122228410984187505225498624 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 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(literal 1 binary64)))
Outputs
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l)))))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #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 3602879701896397/72057594037927936 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l)))))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (neg.f64 M) d) (*.f64 (*.f64 D M) h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal 2693189581592767/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal 2693189581592767/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512 binary64)) (*.f64 w0 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 M D)) (*.f64 #s(literal -2 binary64) d))))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (neg.f64 M) d) (*.f64 (*.f64 D M) h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 D M) (neg.f64 h))) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (neg.f64 M) d) (*.f64 (*.f64 D M) h)) (*.f64 #s(literal 2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 d #s(literal 6934909738785737/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 D (/.f64 M d)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 D (*.f64 (/.f64 M d) M))) (*.f64 #s(literal -2 binary64) l)) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal 3386186395891473/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (/.f64 D l) #s(literal -2 binary64))) (*.f64 D (/.f64 M d)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 d #s(literal 3386186395891473/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 h #s(literal -2 binary64))) (/.f64 M d)) (*.f64 D (/.f64 M d)) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 5573580493704609/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(if (<=.f64 M #s(literal 5573580493704609/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 h)) (/.f64 (/.f64 D d) (*.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) w0))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000000 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 (*.f64 h M) d) (/.f64 M (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 h M) d) (/.f64 M (*.f64 d l))))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 M D) #s(literal 4717453031026927/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 M D) #s(literal 999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) #s(literal -1/4 binary64)) h #s(literal 1 binary64))))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D 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))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -20000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D 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))))
(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 39999999999999999274034828753599231458870603857312684991833593479596290217520213192823213697572550705053433856 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) d) (/.f64 D (*.f64 l d))) #s(literal -1/8 binary64) w0)))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -49999999999999999604519313141816925411378060847115227682784149504 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -49999999999999999604519313141816925411378060847115227682784149504 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 (*.f64 D D) w0))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))) (*.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 -999999999999999965084388885482519417592855130626093842171043595190833186399051537317196816706799625297221478016185520727674168639944850288849622355474122345476546392575499689981548348018063279122228410984187505225498624 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* (/ M d) D) 2) 2) (/ h l))))) #s(approx (+ (* (/ (* (* (* (* M M) h) w0) (* D D)) (* (* d d) l)) -1/8) w0) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l))) #s(literal -1/8 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(literal 1 binary64)))

derivations1.2s (9.9%)

Memory
59.8MiB live, 921.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010988971
142808827
082858531
058489
0100489
1329476
22523468
08266462
053387
089369
1265369
21700369
08320358
011329218
143989074
084868771
081559
0125563
1411551
23086527
08439519
01769
02669
17569
241069
3721869
0845766
06264390
124074334
094994188
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 994 to 201 computations (79.8% saved)

preprocess232.0ms (1.9%)

Memory
-19.3MiB live, 328.1MiB allocated
Remove

(negabs w0)

(abs D)

(abs d)

Compiler

Compiled 3 816 to 1 472 computations (61.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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