Henrywood and Agarwal, Equation (12)

Time bar (total: 22.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze456.0ms (2.1%)

Memory
39.6MiB live, 857.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
12.5%12.5%87.3%0.2%0%0%0%4
12.5%12.5%87.3%0.2%0%0%0%5
12.5%12.5%87.3%0.2%0%0%0%6
15.4%12.5%68.6%0.2%0%18.7%0%7
16.7%12.5%62.3%0.2%0%24.9%0%8
20%14%56.1%0.2%0%29.6%0%9
20%14%56.1%0.2%0%29.6%0%10
20%14%56.1%0.2%0%29.6%0%11
22.9%14.8%49.9%0.2%0%35.1%0%12
Compiler

Compiled 37 to 24 computations (35.1% saved)

sample6.3s (28.2%)

Memory
-73.2MiB live, 6 368.1MiB allocated
Samples
2.9s13 201×0invalid
1.8s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.7s
ival-div: 1.3s (35.7% of total)
ival-mult: 1.2s (32.5% of total)
ival-pow: 743.0ms (20.3% of total)
ival-pow2: 248.0ms (6.8% of total)
ival-sub: 119.0ms (3.2% of total)
exact: 25.0ms (0.7% of total)
ival-true: 22.0ms (0.6% of total)
ival-assert: 11.0ms (0.3% of total)
Bogosity

explain403.0ms (1.8%)

Memory
49.7MiB live, 707.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
660-3(1.0350218715111036e-125 2.084716975761275e+187 2.3568720079176045e-197 2.0622586812895055e-169 -1.7269933046328953e-59)(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
550-1(4.872329439988951e-267 1.5131668119753606e-121 3.331208279110242e+55 441467021740049340.0 7.678120151394084e-264)(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
400-1(1.6785120785822745e+220 1.2795510660503272e-20 9.35911731763499e-92 -9.754223001106157e+199 5.08972976473024e-135)(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
220-2(6.929640304120862e-41 1.496580911562459e+94 4.4498564170573396e+98 5.081023703705116e-140 5.046244616845119e-177)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
210-1(-2.2836890561680267e-271 -1.6007260719436604e-112 -6.61320763810371e+204 -3.9936598028137843e+211 -1.438282959301552e-196)(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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 d l)
00-0-(*.f64 M D)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(/.f64 d h)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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-(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
00-0-M
00-0-h
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue350
(/.f64 d h)overflow35
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue340
(/.f64 d l)overflow34
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue280
(/.f64 d h)underflow28
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue200
(/.f64 d l)underflow20
*.f64(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))n*o190
*.f64(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))n*o110
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n100
(*.f64 M D)overflow26
*.f64(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))u*o80
(/.f64 d h)underflow28
(/.f64 d l)underflow20
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))underflow12
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow66
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))overflow66
(/.f64 h l)overflow35
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))overflow69
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))overflow69
(*.f64 M D)overflow26
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow32
*.f64(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))n*u10
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))u/n10
(*.f64 M D)underflow36
Confusion
Predicted +Predicted -
+828
-43123
Precision
0.656
Recall
0.9111111111111111
Confusion?
Predicted +Predicted MaybePredicted -
+8208
-430123
Precision?
0.656
Recall?
0.9111111111111111
Freqs
test
numberfreq
0131
188
232
35
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
137.0ms512×0valid
Compiler

Compiled 352 to 70 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-div: 55.0ms (53.8% of total)
ival-pow: 20.0ms (19.6% of total)
ival-mult: 17.0ms (16.6% of total)
ival-pow2: 6.0ms (5.9% of total)
ival-sub: 2.0ms (2% of total)
ival-true: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)

preprocess227.0ms (1%)

Memory
-16.8MiB live, 278.5MiB allocated
Algorithm
egg-herbie
Rules
6 600×lower-*.f32
6 588×lower-*.f64
3 422×lower-/.f32
3 414×lower-/.f64
2 244×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168564
1558553
21960548
34611548
02229
03827
16727
217427
3105427
4344127
5672427
0802726
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))))
Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 40 to 22 computations (45% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 40 to 22 computations (45% saved)

simplify154.0ms (0.7%)

Memory
3.0MiB live, 230.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff5504
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
cost-diff5824
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Rules
6 600×lower-*.f32
6 588×lower-*.f64
3 422×lower-/.f32
3 414×lower-/.f64
2 244×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022132
038126
167126
2174126
31054126
43441126
56724126
08027124
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 M 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)
(/.f64 h l)
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 h #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 h l)

localize72.0ms (0.3%)

Memory
-22.3MiB live, 107.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy5.091690100213678
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy9.219696077595572
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy13.015318422645947
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy15.263331644422065
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Samples
48.0ms256×0valid
Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-pow: 10.0ms (30.6% of total)
ival-div: 9.0ms (27.6% of total)
ival-mult: 9.0ms (27.6% of total)
ival-pow2: 3.0ms (9.2% of total)
ival-sub: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series79.0ms (0.4%)

Memory
18.0MiB live, 55.8MiB allocated
Counts
6 → 180
Calls
Call 1
Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
Calls

45 calls:

TimeVariablePointExpression
44.0ms
l
@inf
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
2.0ms
D
@0
(pow (/ (* M D) (* 2 d)) 2)
2.0ms
h
@0
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
1.0ms
l
@0
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
1.0ms
M
@0
(pow (/ (* M D) (* 2 d)) 2)

simplify296.0ms (1.3%)

Memory
-2.7MiB live, 268.9MiB allocated
Algorithm
egg-herbie
Rules
11 250×lower-*.f64
11 250×lower-*.f32
5 988×associate-*r*
2 626×associate-*r/
2 342×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0341972
1741940
22561940
311821940
433101940
535421940
636311940
736571940
836741940
936801940
1047671940
1148371940
1248461940
1348461940
1457421940
1572591940
1672771940
1772771940
1872771940
1972771940
0107371940
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 M (*.f64 #s(literal 1/4 binary64) (*.f64 M (*.f64 D (/.f64 D (*.f64 d d))))))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(* 1/2 (/ (* D M) d))
(*.f64 D (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))

rewrite243.0ms (1.1%)

Memory
30.6MiB live, 308.8MiB allocated
Rules
4 926×lower-*.f32
4 918×lower-*.f64
2 258×lower-/.f32
2 250×lower-/.f64
1 626×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01942
03240
19440
251540
3505840
0812140
Stop Event
iter limit
node limit
iter limit
Counts
6 → 610
Calls
Call 1
Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 h d))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 h)) #s(literal 1/2 binary64) (*.f64 (log.f64 d) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
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(pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 M D) d)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d))
(*.f64 M (/.f64 D (*.f64 d #s(literal 2 binary64))))
(*.f64 M (*.f64 #s(literal 1/2 binary64) (/.f64 D d)))
(*.f64 M (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 D (/.f64 M (*.f64 d #s(literal 2 binary64))))
(*.f64 D (*.f64 (neg.f64 M) (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 D (*.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 #s(literal 1 binary64) d)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 M D)) (/.f64 #s(literal -1/2 binary64) d))
(*.f64 (neg.f64 (*.f64 M D)) (*.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 D d))
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 (/.f64 D d) #s(literal 1 binary64)))
(*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M))
(*.f64 (/.f64 D d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 M D))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)))
(*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) M)
(*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (*.f64 M #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))))
(*.f64 (neg.f64 D) (*.f64 M (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 (neg.f64 D) (/.f64 M (*.f64 d #s(literal -2 binary64))))
(*.f64 (neg.f64 M) (/.f64 D (*.f64 d #s(literal -2 binary64))))
(*.f64 (neg.f64 M) (*.f64 D (/.f64 #s(literal -1/2 binary64) d)))
(*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (/.f64 M d) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 M d))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 #s(literal 1/2 binary64) (*.f64 M D)))
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (neg.f64 (*.f64 M D)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(*.f64 (/.f64 M (*.f64 d #s(literal 2 binary64))) D)
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 M D) (neg.f64 d)))
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))))))
(*.f64 (exp.f64 (log.f64 (*.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 d #s(literal 2 binary64))))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) M))) (exp.f64 (log.f64 (/.f64 D d))))
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d))
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64)))
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d))
(*.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (*.f64 M D) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (/.f64 M (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (/.f64 D (*.f64 d #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) M) (/.f64 D (*.f64 d #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 M (*.f64 d #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))

eval178.0ms (0.8%)

Memory
-2.7MiB live, 221.7MiB allocated
Compiler

Compiled 30 783 to 3 503 computations (88.6% saved)

prune172.0ms (0.8%)

Memory
-22.3MiB live, 358.1MiB allocated
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New76923792
Fresh000
Picked101
Done000
Total77023793
Accuracy
88.4%
Counts
793 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.8%
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
66.2%
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
65.8%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
57.8%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
62.8%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1/4 binary64)) d) (/.f64 (*.f64 h #s(literal 1/2 binary64)) l)) d)))
55.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal 1/2 binary64)) l) (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1/4 binary64))) (*.f64 d d))))
59.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) h)))
71.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
65.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (*.f64 M (/.f64 h l))) #s(literal 1/2 binary64)))))
64.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal 1/2 binary64)) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
66.7%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 M (*.f64 d #s(literal 2 binary64))) D) #s(literal 2 binary64))) (/.f64 h l))))
59.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 M D) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 M D)) (/.f64 (*.f64 h #s(literal 1/2 binary64)) l)))))
54.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
33.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
37.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
66.6%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
37.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
33.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
65.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
36.2%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
40.1%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
66.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 1 868 to 1 116 computations (40.3% saved)

simplify242.0ms (1.1%)

Memory
27.2MiB live, 379.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff384
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff4800
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff384
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff4800
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff384
(/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff5824
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff0
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff5824
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff1088
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff5824
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Rules
8 554×lower-*.f32
8 496×lower-*.f64
3 452×lower-/.f32
3 424×lower-/.f64
1 570×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074830
0131836
1262758
2952758
37017758
08541750
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 M D))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) h)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))))
D
(*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))
(*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))
#s(literal 1/8 binary64)
(*.f64 h (*.f64 M M))
(*.f64 M M)
M
(*.f64 d (*.f64 d l))
(*.f64 d l)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l))
(/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64)))
(*.f64 M (*.f64 D (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
D
(*.f64 M D)
(*.f64 h #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
#s(literal 4 binary64)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 M 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)
(/.f64 h l)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))
(/.f64 #s(literal 1 binary64) (sqrt.f64 l))
(sqrt.f64 l)
l
(sqrt.f64 d)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 M 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)
(/.f64 h l)
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 #s(literal 2 binary64) l))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 d (*.f64 #s(literal 2 binary64) l)))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 M D))
(*.f64 D (*.f64 M #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) h)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (*.f64 D (*.f64 D #s(literal 1/8 binary64))) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l)))))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (*.f64 D (*.f64 D #s(literal 1/8 binary64))) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l))))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (*.f64 D (*.f64 D #s(literal 1/8 binary64))) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l)))))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 D (*.f64 D #s(literal 1/8 binary64))) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l))))
(*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))))
D
(*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))
(*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))
#s(literal 1/8 binary64)
(*.f64 h (*.f64 M M))
(*.f64 M M)
M
(*.f64 d (*.f64 d l))
(*.f64 d l)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D (*.f64 D #s(literal 1/8 binary64))) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l))))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D (*.f64 D #s(literal 1/8 binary64))) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l)))))
(/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
(*.f64 (*.f64 D (*.f64 D #s(literal 1/8 binary64))) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d d))
(*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64)))
(*.f64 D (*.f64 (*.f64 h (*.f64 D (*.f64 M #s(literal 1/2 binary64)))) M))
(*.f64 M (*.f64 D (*.f64 M D)))
(*.f64 M (*.f64 M (*.f64 D D)))
M
(*.f64 D (*.f64 M D))
(*.f64 M (*.f64 D D))
D
(*.f64 M D)
(*.f64 h #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d (*.f64 d #s(literal 4 binary64)))
(*.f64 d d)
#s(literal 4 binary64)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 #s(literal 2 binary64) l))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(/.f64 (*.f64 M (*.f64 D (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)))) (*.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 h l)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 l))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (sqrt.f64 l))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 l))
(sqrt.f64 l)
l
(sqrt.f64 d)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(fma.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (*.f64 h (*.f64 M D)) (*.f64 d (*.f64 #s(literal 2 binary64) l))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(/.f64 (*.f64 M (*.f64 D (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)))) (*.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 h l)

localize280.0ms (1.3%)

Memory
2.3MiB live, 683.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.20298729778943
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy2.9841306152084894
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy3.7978680127215623
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy7.711219048655512
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy2.9841306152084894
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy3.7978680127215623
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy6.070947406882012
(sqrt.f64 (/.f64 l d))
accuracy7.711219048655512
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy2.7854353726590215
(*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64)))
accuracy6.87032536309637
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy6.881536080220448
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy7.711219048655512
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy3.281639142886468
(*.f64 h (*.f64 M M))
accuracy6.57803750792898
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
accuracy6.87032536309637
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy7.711219048655512
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy2.9841306152084894
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
accuracy3.189598342090931
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
accuracy6.87032536309637
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy7.711219048655512
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Samples
79.0ms130×0valid
73.0ms126×0invalid
Compiler

Compiled 858 to 66 computations (92.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 41.0ms (40.6% of total)
ival-div: 37.0ms (36.7% of total)
ival-pow: 11.0ms (10.9% of total)
ival-sqrt: 5.0ms (5% of total)
ival-sub: 4.0ms (4% of total)
ival-pow2: 3.0ms (3% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series129.0ms (0.6%)

Memory
16.8MiB live, 160.3MiB allocated
Counts
16 → 636
Calls
Call 1
Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) (patch (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (patch (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 h (*.f64 M M)) (patch (*.f64 h (*.f64 M M)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #<representation binary64>) () ())
Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (taylor -inf D) (#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) (taylor -inf D) (#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) (taylor -inf D) (#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) (taylor -inf D) (#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #<representation binary64>) () ())) ())
Calls

159 calls:

TimeVariablePointExpression
14.0ms
l
@-inf
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
7.0ms
l
@inf
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
3.0ms
d
@inf
(* (* (pow (/ d h) (/ 1 2)) (* (/ 1 (sqrt l)) (sqrt d))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
1.0ms
d
@0
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
1.0ms
d
@-inf
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))

simplify254.0ms (1.1%)

Memory
15.0MiB live, 348.1MiB allocated
Algorithm
egg-herbie
Rules
7 230×lower-fma.f64
7 230×lower-fma.f32
5 972×lower-*.f64
5 972×lower-*.f32
2 802×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01359127
13619000
212578983
327898951
451458951
085248870
Stop Event
iter limit
node limit
Counts
636 → 636
Calls
Call 1
Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 d d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 d d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 d d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 d d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 d d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 d d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
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(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))

rewrite284.0ms (1.3%)

Memory
-6.9MiB live, 330.5MiB allocated
Rules
4 686×lower-/.f32
4 662×lower-/.f64
3 966×lower-*.f32
3 920×lower-*.f64
1 356×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065213
0113208
1340189
22263185
08323184
Stop Event
iter limit
node limit
iter limit
Counts
16 → 883
Calls
Call 1
Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(*.f64 h (*.f64 M M))
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 l d))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal -1 binary64))) (sqrt.f64 (neg.f64 h)))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d l) (/.f64 d l))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 l)) #s(literal -1 binary64) (*.f64 (log.f64 d) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 d) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 l)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 l d)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 d) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 l))))
(sqrt.f64 (/.f64 d l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 l)) (*.f64 (sqrt.f64 d) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 d)))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 d) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 l (neg.f64 d))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (sqrt.f64 l))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 d) #s(literal -1 binary64))) (sqrt.f64 l))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l))))
(*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(*.f64 (*.f64 (sqrt.f64 d) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 d)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) (sqrt.f64 (neg.f64 d)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))) h)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) (neg.f64 h)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) h)) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) (neg.f64 h)))
(neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) (neg.f64 h)))
(/.f64 h (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))) h))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))) h))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))) (*.f64 (*.f64 M D) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) h) (*.f64 (*.f64 M D) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) h)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) h) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) h)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 h #s(literal 1/2 binary64)) (/.f64 d (*.f64 #s(literal 1/2 binary64) (*.f64 M D))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) h))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 h #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))) h)))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 (*.f64 d #s(literal -2 binary64)) h))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 h) (neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (neg.f64 (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) h)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) h)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 h #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) h) (/.f64 (*.f64 d #s(literal 2 binary64)) D))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 h (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d))) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) h) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) h)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 h (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) h)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) h)) (*.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))) h) #s(literal -1 binary64))
(*.f64 h (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)))
(*.f64 #s(literal 1 binary64) (*.f64 h (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) h))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 d (*.f64 #s(literal 1/2 binary64) (*.f64 M D)))) #s(literal -1 binary64)))
(*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)
(*.f64 (*.f64 h #s(literal 1/2 binary64)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 h #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) h)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) (neg.f64 h)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))) h))))
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eval374.0ms (1.7%)

Memory
-10.9MiB live, 586.3MiB allocated
Compiler

Compiled 87 712 to 4 730 computations (94.6% saved)

prune367.0ms (1.7%)

Memory
5.2MiB live, 762.3MiB allocated
Pruning

39 alts after pruning (39 fresh and 0 done)

PrunedKeptTotal
New2 244382 282
Fresh17118
Picked505
Done000
Total2 266392 305
Accuracy
94.2%
Counts
2 305 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.1%
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 (*.f64 d (/.f64 d h))) (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (neg.f64 #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))))
49.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
55.8%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
49.8%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
36.2%
(/.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
36.2%
(*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
34.8%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
27.5%
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 d h) l))) (sqrt.f64 d))
55.5%
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
64.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal 1/2 binary64)) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
38.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
29.6%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
32.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
58.8%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
66.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 d (*.f64 #s(literal 1/2 binary64) (*.f64 M D))) (/.f64 d (*.f64 #s(literal 1/2 binary64) (*.f64 M D)))))))
57.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 M D))) (*.f64 (*.f64 d #s(literal 2 binary64)) d))) (/.f64 h l))))
65.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))))) (/.f64 h l))))
32.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
57.8%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
71.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
54.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
2.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
32.2%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
40.1%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
30.7%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
42.4%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
34.2%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
66.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
49.5%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
34.2%
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
66.6%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
19.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
30.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) h))
22.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l)))
15.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
12.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
29.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
28.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))))
25.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
Compiler

Compiled 2 924 to 1 822 computations (37.7% saved)

simplify237.0ms (1.1%)

Memory
-16.5MiB live, 308.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
cost-diff384
(/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff0
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l)))
cost-diff0
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff0
(/.f64 d l)
cost-diff0
(sqrt.f64 (/.f64 d l))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 h l))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
cost-diff0
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
cost-diff0
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
cost-diff384
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l)
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff1088
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Rules
7 806×lower-*.f32
7 746×lower-*.f64
2 486×lower-/.f32
2 456×lower-/.f64
1 690×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084841
0140828
1291788
21011788
36067788
08077785
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 M D))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.f64 h l)
h
l
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))
#s(literal 1 binary64)
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D))
(*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M)
(*.f64 (*.f64 h #s(literal 1/8 binary64)) M)
(*.f64 h #s(literal 1/8 binary64))
h
#s(literal 1/8 binary64)
M
(*.f64 D D)
D
(*.f64 d (*.f64 d l))
(*.f64 d l)
(sqrt.f64 (/.f64 h d))
(/.f64 h d)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))))
D
(*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))
(*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))
#s(literal 1/8 binary64)
(*.f64 h (*.f64 M M))
(*.f64 M M)
M
(*.f64 d (*.f64 d l))
(*.f64 d l)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
l
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l))
(/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64)))
(*.f64 M (*.f64 D (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
D
(*.f64 M D)
(*.f64 h #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
#s(literal 4 binary64)
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) h) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d l) #s(literal -2 binary64))) h) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)))) (*.f64 d (*.f64 #s(literal 2 binary64) l)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 d (*.f64 #s(literal 2 binary64) l)))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 M D))
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.f64 h l)
h
l
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64))) (*.f64 d (*.f64 d l))))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))))
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64))) (*.f64 d (*.f64 d l))))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64))) (*.f64 d (*.f64 d l)))))
#s(literal 1 binary64)
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64))) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64))) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D))
(*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M)
(*.f64 M (*.f64 M (*.f64 h #s(literal 1/8 binary64))))
(*.f64 (*.f64 h #s(literal 1/8 binary64)) M)
(*.f64 M (*.f64 h #s(literal 1/8 binary64)))
(*.f64 h #s(literal 1/8 binary64))
h
#s(literal 1/8 binary64)
M
(*.f64 D D)
D
(*.f64 d (*.f64 d l))
(*.f64 d l)
(sqrt.f64 (/.f64 h d))
(/.f64 h d)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64))) (*.f64 d (*.f64 d l)))))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64))) (*.f64 d (*.f64 d l)))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64))) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64))) (*.f64 d (*.f64 d l)))
(*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))))
(*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64)))
D
(*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))
(*.f64 M (*.f64 D (*.f64 M (*.f64 h #s(literal 1/8 binary64)))))
(*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))
(*.f64 M (*.f64 M (*.f64 h #s(literal 1/8 binary64))))
#s(literal 1/8 binary64)
(*.f64 h (*.f64 M M))
(*.f64 M M)
M
(*.f64 d (*.f64 d l))
(*.f64 d l)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (neg.f64 M) (*.f64 (/.f64 (*.f64 M (*.f64 D D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal 1/8 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
l
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l))
(fma.f64 (neg.f64 M) (*.f64 (/.f64 (*.f64 M (*.f64 D D)) (*.f64 d (*.f64 d l))) (*.f64 h #s(literal 1/8 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
(/.f64 (*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64))) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 M (*.f64 (*.f64 h (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64))) (*.f64 d d))
(*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64)))
(*.f64 h (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 M (*.f64 D D)))))
(*.f64 M (*.f64 D (*.f64 M D)))
(*.f64 M (*.f64 M (*.f64 D D)))
M
(*.f64 D (*.f64 M D))
(*.f64 M (*.f64 D D))
D
(*.f64 M D)
(*.f64 h #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d (*.f64 d #s(literal 4 binary64)))
(*.f64 d d)
#s(literal 4 binary64)

localize288.0ms (1.3%)

Memory
3.1MiB live, 431.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.727920047324465
(*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64)))
accuracy12.00471887921461
(sqrt.f64 (/.f64 l d))
accuracy14.23939331173011
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy15.263331644422076
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy6.755745797381997
(*.f64 h (*.f64 M M))
accuracy13.015318422645946
(sqrt.f64 (/.f64 d l))
accuracy13.709794108832371
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
accuracy15.263331644422076
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy12.844843857674793
(*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D))
accuracy13.015318422645946
(sqrt.f64 (/.f64 d l))
accuracy13.709794108832371
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))
accuracy15.309017982345768
(sqrt.f64 (/.f64 h d))
accuracy0.2265625
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
accuracy0.6729910641148905
(/.f64 #s(literal 1 binary64) (*.f64 h l))
accuracy12.651227928999045
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
accuracy44.83422324366897
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
accuracy5.091690100213678
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
accuracy5.264722697456463
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
accuracy13.015318422645946
(sqrt.f64 (/.f64 d l))
accuracy15.263331644422076
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Samples
178.0ms256×0valid
Compiler

Compiled 752 to 76 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 51.0ms (44.2% of total)
ival-div: 31.0ms (26.9% of total)
ival-pow: 15.0ms (13% of total)
ival-sqrt: 10.0ms (8.7% of total)
ival-sub: 4.0ms (3.5% of total)
ival-pow2: 3.0ms (2.6% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.4%)

Memory
42.1MiB live, 148.2MiB allocated
Counts
25 → 972
Calls
Call 1
Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #<representation binary64>) () ())
#s(alt (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (patch (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (*.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (patch (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ())
#s(alt (/.f64 d l) (patch (/.f64 d l) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) (patch (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (patch (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (patch (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (patch (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 h (*.f64 M M)) (patch (*.f64 h (*.f64 M M)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor 0 l) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor 0 l) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor 0 l) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor 0 l) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor inf l) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor inf l) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor inf l) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor inf l) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor 0 d) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor 0 d) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor 0 d) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor 0 d) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor inf d) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor inf d) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor inf d) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ l d)) (taylor inf d) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ l d)) (pow (sqrt -1) 2)) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ l d)) (pow (sqrt -1) 2)) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ l d)) (pow (sqrt -1) 2)) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ l d)) (pow (sqrt -1) 2)) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 M) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 M) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 M) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 M) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf M) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf M) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf M) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf M) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf M) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf M) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf M) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf M) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 D) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 D) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 D) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 D) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf D) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf D) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf D) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf D) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf D) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf D) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf D) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf D) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 h) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 h) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 h) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor 0 h) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf h) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf h) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf h) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor inf h) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf h) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf h) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf h) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow D 2) (* (pow M 2) h))) (taylor -inf h) (#s(alt (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
Calls

243 calls:

TimeVariablePointExpression
3.0ms
M
@-inf
(* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
1.0ms
M
@0
(/ (/ (* M D) (* d 2)) l)
1.0ms
h
@-inf
(/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d)))
1.0ms
D
@0
(/ (/ (* M D) (* d 2)) l)
1.0ms
h
@inf
(sqrt (/ h d))

simplify297.0ms (1.3%)

Memory
-17.1MiB live, 416.7MiB allocated
Algorithm
egg-herbie
Rules
7 588×lower-fma.f64
7 588×lower-fma.f32
5 984×lower-*.f64
5 984×lower-*.f32
3 312×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021913796
161713439
2225613372
3411613325
4763613325
0820813166
Stop Event
iter limit
node limit
Counts
972 → 972
Calls
Call 1
Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
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(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (* (pow D 2) (* (pow M 2) h)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(sqrt (/ l d))
(sqrt (/ l d))
(sqrt (/ l d))
(sqrt (/ l d))
(sqrt (/ l d))
(sqrt (/ l d))
(sqrt (/ l d))
(sqrt (/ l d))
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2)))
(sqrt (/ l d))
(sqrt (/ l d))
(sqrt (/ l d))
(sqrt (/ l d))
(sqrt (/ l d))
(sqrt (/ l d))
(sqrt (/ l d))
(sqrt (/ l d))
(* (sqrt (/ l d)) (pow (sqrt -1) 2))
(* (sqrt (/ l d)) (pow (sqrt -1) 2))
(* (sqrt (/ l d)) (pow (sqrt -1) 2))
(* (sqrt (/ l d)) (pow (sqrt -1) 2))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D (* M h)) d))
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(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
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(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 l d))
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 l d))
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 l d))
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(* (sqrt (/ l d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 l d)))
(* (sqrt (/ l d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 l d)))
(* (sqrt (/ l d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 l d)))
(* (sqrt (/ l d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 l d)))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(* 1/2 (* (pow D 2) (* (pow M 2) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))

rewrite388.0ms (1.8%)

Memory
45.1MiB live, 506.4MiB allocated
Rules
5 716×lower-/.f32
5 686×lower-/.f64
3 648×lower-*.f32
3 596×lower-*.f64
1 638×frac-2neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079357
0130349
1438313
22748309
08109308
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 196
Calls
Call 1
Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l)))
(/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(sqrt.f64 (/.f64 h d))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D))
(/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))
(*.f64 h (*.f64 M M))
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(sqrt.f64 (/.f64 l d))
(*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64)))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 h d))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 d)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 h))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal -1 binary64))) (sqrt.f64 (neg.f64 h)))
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(/.f64 (neg.f64 (*.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 d d)))) #s(literal -4 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d d)) (*.f64 h #s(literal 1/2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal 1/8 binary64))) (*.f64 d d))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) d) (*.f64 d #s(literal 4 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) #s(literal 4 binary64)) (*.f64 d d))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) d)) (neg.f64 (*.f64 d #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) #s(literal 1 binary64))) (*.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 d d))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d d)) (*.f64 h #s(literal 1/2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal 1/8 binary64)))) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) #s(literal 4 binary64))) (neg.f64 (*.f64 d d)))
(pow.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) #s(literal 8 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal 1/8 binary64))) (*.f64 d d)))
(*.f64 M (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 h #s(literal 1/2 binary64)))) (*.f64 d (*.f64 d #s(literal 4 binary64)))))
(*.f64 M (*.f64 (*.f64 M (*.f64 D D)) (/.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 d d))))
(*.f64 M (*.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 h #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))
(*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 d d))))
(*.f64 (*.f64 h #s(literal 1/8 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d d)))
(*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 d d)))
(*.f64 (*.f64 h #s(literal 1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 d #s(literal 4 binary64)))))
(*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(*.f64 (*.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) #s(literal -4 binary64))))
(*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 h #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64))))
(*.f64 (/.f64 M d) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) (*.f64 (*.f64 M D) (*.f64 D (*.f64 h #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d d)) (*.f64 h #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 d d))))
(*.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) (/.f64 #s(literal 1/2 binary64) (*.f64 d (*.f64 d #s(literal 4 binary64)))))
(*.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))
(*.f64 (*.f64 M (*.f64 D D)) (*.f64 M (/.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 d d))))
(*.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 d d))) #s(literal 1/4 binary64))
(*.f64 (/.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 d d)) (*.f64 M (*.f64 M (*.f64 D D))))
(*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (/.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 d #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 h #s(literal 1/2 binary64)) d) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) d) (/.f64 #s(literal 1/2 binary64) (*.f64 d #s(literal 4 binary64))))
(*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 h #s(literal 1/2 binary64)))) #s(literal 4 binary64)))
(*.f64 (/.f64 M #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 h #s(literal 1/2 binary64)))) (*.f64 d d)))
(*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal 4 binary64)) (/.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 d d)))
(*.f64 (/.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 d d)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d d)) #s(literal 1/8 binary64))
(*.f64 (/.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) (*.f64 h #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (*.f64 h #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 d d) M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 M D) (*.f64 D (*.f64 h #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 h #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) (*.f64 h #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) #s(literal -1 binary64)) #s(literal 1/8 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 M D) (*.f64 D (*.f64 h #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 l d))))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l)))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 l d))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64)))
(sqrt.f64 (/.f64 l d))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 d l))))
(/.f64 (sqrt.f64 l) (sqrt.f64 d))
(/.f64 (sqrt.f64 l) (*.f64 #s(literal 1 binary64) (sqrt.f64 d)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 l d))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))
(/.f64 (neg.f64 (sqrt.f64 l)) (neg.f64 (sqrt.f64 d)))
(/.f64 (neg.f64 (sqrt.f64 l)) (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 l d)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 d l))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 (neg.f64 d))))
(/.f64 (sqrt.f64 (*.f64 l #s(literal 1 binary64))) (sqrt.f64 d))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 l))) (neg.f64 (sqrt.f64 (neg.f64 d))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 l))) (neg.f64 (neg.f64 (sqrt.f64 d))))
(pow.f64 (/.f64 d l) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))
(pow.f64 (/.f64 l d) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (/.f64 l d) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 l d) (/.f64 l d)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 l d))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(*.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 l) (/.f64 #s(literal 1 binary64) (sqrt.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l))
(*.f64 (sqrt.f64 (neg.f64 l)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d))))
(*.f64 (pow.f64 (/.f64 l d) #s(literal 1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(*.f64 h (*.f64 #s(literal 1/2 binary64) (*.f64 M (*.f64 M (*.f64 D D)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))))
(*.f64 M (*.f64 (*.f64 M D) (*.f64 D (*.f64 h #s(literal 1/2 binary64)))))
(*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/2 binary64))))
(*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal 1/2 binary64)))
(*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M (*.f64 M (*.f64 D D))))
(*.f64 (*.f64 h (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 M (*.f64 D D)) (*.f64 M (*.f64 h #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 M D) (*.f64 D (*.f64 h #s(literal 1/2 binary64)))) M)
(*.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal 1/2 binary64)) h)
(*.f64 (*.f64 (*.f64 h #s(literal 1/2 binary64)) M) (*.f64 M (*.f64 D D)))
(*.f64 (*.f64 (*.f64 h #s(literal 1/2 binary64)) (*.f64 M D)) (*.f64 M D))

eval604.0ms (2.7%)

Memory
-154.4MiB live, 664.7MiB allocated
Compiler

Compiled 92 593 to 4 881 computations (94.7% saved)

prune479.0ms (2.2%)

Memory
-9.0MiB live, 847.8MiB allocated
Pruning

51 alts after pruning (50 fresh and 1 done)

PrunedKeptTotal
New2 636422 678
Fresh26834
Picked415
Done000
Total2 666512 717
Accuracy
95.0%
Counts
2 717 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.2%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 h d)))
49.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
57.1%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) (/.f64 (*.f64 M (*.f64 D D)) d)) l) d)))) (sqrt.f64 (/.f64 h d)))
29.2%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))))
65.5%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
61.4%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d (*.f64 d l))) D)))) (sqrt.f64 (/.f64 h d)))
31.1%
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h)))) (sqrt.f64 l))
36.2%
(/.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
42.7%
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
8.8%
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
36.2%
(*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
72.1%
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
22.0%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
21.4%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
26.3%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
57.1%
(*.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
47.7%
(*.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
46.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
36.4%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
55.5%
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
64.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal 1/2 binary64)) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
65.6%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d))))
52.4%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
34.2%
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
57.8%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
71.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
39.8%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
47.4%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
32.6%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
33.4%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
40.8%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
34.1%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
34.0%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
20.2%
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
15.6%
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
29.1%
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
29.4%
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D))))) d))))
22.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l)))
26.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
26.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
15.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
28.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))))
27.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
27.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
2.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
25.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
25.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
26.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
25.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
26.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
20.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
Compiler

Compiled 3 134 to 1 972 computations (37.1% saved)

simplify167.0ms (0.8%)

Memory
-19.6MiB live, 259.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 d l))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d))))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
cost-diff384
(/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)
cost-diff0
(sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h)))
cost-diff0
(fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l)))))
cost-diff0
(/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l))
cost-diff0
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l)))
cost-diff0
(/.f64 h (*.f64 l (*.f64 l l)))
cost-diff0
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))
cost-diff0
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
cost-diff0
(*.f64 h l)
cost-diff0
(sqrt.f64 (*.f64 h l))
cost-diff0
(/.f64 d (sqrt.f64 (*.f64 h l)))
cost-diff0
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
cost-diff320
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))
cost-diff384
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l)
cost-diff1088
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
Rules
9 024×lower-*.f32
8 972×lower-*.f64
2 262×lower-/.f32
2 224×lower-/.f64
1 716×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084790
0140764
1270734
2795734
34781734
08089729
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
#s(literal 1 binary64)
(*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 M D))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
(/.f64 h (*.f64 l (*.f64 l l)))
h
(*.f64 l (*.f64 l l))
l
(*.f64 l l)
(*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))
(*.f64 M (*.f64 M (*.f64 D D)))
M
(*.f64 M (*.f64 D D))
(*.f64 D D)
D
(/.f64 #s(literal 1/8 binary64) d)
#s(literal 1/8 binary64)
d
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l)))
(/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l))
(fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l)))))
d
(sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h)))
(*.f64 l (/.f64 (*.f64 l l) h))
l
(/.f64 (*.f64 l l) h)
(*.f64 l l)
h
(*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))
(*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d))
D
(/.f64 (*.f64 D (*.f64 M M)) d)
(*.f64 D (*.f64 M M))
(*.f64 M M)
M
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l)))
#s(literal -1/8 binary64)
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))
#s(literal 1 binary64)
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d))
(/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)
(*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l)))
D
(/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))
(*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D))
M
(*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)
(*.f64 M (*.f64 h #s(literal 1/8 binary64)))
(*.f64 h #s(literal 1/8 binary64))
h
#s(literal 1/8 binary64)
(*.f64 d l)
(sqrt.f64 (/.f64 h d))
(/.f64 h d)
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 (/.f64 (*.f64 h (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 h (*.f64 (*.f64 M D) #s(literal 1/4 binary64))) d)) (*.f64 l (*.f64 d #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 h (*.f64 (*.f64 M D) #s(literal 1/4 binary64))) d)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d)
(*.f64 #s(literal 1/2 binary64) (*.f64 M D))
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64)) d)))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64)) d))
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
(/.f64 h (*.f64 l (*.f64 l l)))
h
(*.f64 l (*.f64 l l))
l
(*.f64 l l)
(*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))
(/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal 1/8 binary64)) d)
(*.f64 M (*.f64 M (*.f64 D D)))
M
(*.f64 M (*.f64 D D))
(*.f64 D D)
D
(/.f64 #s(literal 1/8 binary64) d)
#s(literal 1/8 binary64)
d
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 (*.f64 l l) (/.f64 l h))) (*.f64 (*.f64 M D) (*.f64 (/.f64 M d) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 D #s(literal -1/8 binary64)))))) (*.f64 l l)))
(/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l))
(/.f64 (fma.f64 d (sqrt.f64 (*.f64 (*.f64 l l) (/.f64 l h))) (*.f64 (*.f64 M D) (*.f64 (/.f64 M d) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 D #s(literal -1/8 binary64)))))) (*.f64 l l))
(fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (sqrt.f64 (*.f64 (*.f64 l l) (/.f64 l h))) (*.f64 (*.f64 M D) (*.f64 (/.f64 M d) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 D #s(literal -1/8 binary64))))))
d
(sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h)))
(sqrt.f64 (*.f64 (*.f64 l l) (/.f64 l h)))
(*.f64 l (/.f64 (*.f64 l l) h))
(*.f64 (*.f64 l l) (/.f64 l h))
l
(/.f64 (*.f64 l l) h)
(*.f64 l l)
h
(*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))
(*.f64 (*.f64 M D) (*.f64 (/.f64 M d) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 D #s(literal -1/8 binary64)))))
(*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d))
(/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d)
D
(/.f64 (*.f64 D (*.f64 M M)) d)
(/.f64 (*.f64 M (*.f64 M D)) d)
(*.f64 D (*.f64 M M))
(*.f64 M (*.f64 M D))
(*.f64 M M)
M
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l)))
(*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 M (*.f64 D (*.f64 M (*.f64 D (*.f64 h #s(literal 1/8 binary64)))))) (*.f64 d (*.f64 d l))))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d))))
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 M (*.f64 D (*.f64 M (*.f64 D (*.f64 h #s(literal 1/8 binary64)))))) (*.f64 d (*.f64 d l))))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))
(-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 M (*.f64 D (*.f64 M (*.f64 D (*.f64 h #s(literal 1/8 binary64)))))) (*.f64 d (*.f64 d l)))))
#s(literal 1 binary64)
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 M (*.f64 D (*.f64 M (*.f64 D (*.f64 h #s(literal 1/8 binary64)))))) (*.f64 d (*.f64 d l))))
(/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)
(/.f64 (*.f64 M (*.f64 D (*.f64 M (*.f64 D (*.f64 h #s(literal 1/8 binary64)))))) (*.f64 d (*.f64 d l)))
(*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l)))
(/.f64 (*.f64 M (*.f64 D (*.f64 M (*.f64 D (*.f64 h #s(literal 1/8 binary64)))))) (*.f64 d l))
D
(/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))
(/.f64 (*.f64 M (*.f64 M (*.f64 D (*.f64 h #s(literal 1/8 binary64))))) (*.f64 d l))
(*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D))
(*.f64 M (*.f64 M (*.f64 D (*.f64 h #s(literal 1/8 binary64)))))
M
(*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)
(*.f64 M (*.f64 D (*.f64 h #s(literal 1/8 binary64))))
(*.f64 M (*.f64 h #s(literal 1/8 binary64)))
(*.f64 h (*.f64 M #s(literal 1/8 binary64)))
(*.f64 h #s(literal 1/8 binary64))
h
#s(literal 1/8 binary64)
(*.f64 d l)
(sqrt.f64 (/.f64 h d))
(/.f64 h d)

localize315.0ms (1.4%)

Memory
38.2MiB live, 435.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.609332803417239
(*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)
accuracy8.741518904921717
(/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))
accuracy13.015318422645947
(sqrt.f64 (/.f64 d l))
accuracy15.309017982345768
(sqrt.f64 (/.f64 h d))
accuracy12.51957386323321
(sqrt.f64 (*.f64 h l))
accuracy17.822565328068546
(sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h)))
accuracy20.801821858255778
(/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l))
accuracy31.209020478987423
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l)))
accuracy8.744825777276603
(*.f64 M (*.f64 D D))
accuracy10.80777166127319
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))
accuracy17.44698599283952
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
accuracy48.00130274226123
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
accuracy0
(*.f64 h l)
accuracy0.19140625
(/.f64 d (sqrt.f64 (*.f64 h l)))
accuracy12.51957386323321
(sqrt.f64 (*.f64 h l))
accuracy44.83422324366897
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
accuracy5.091690100213678
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
accuracy5.264722697456463
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
accuracy12.00471887921461
(sqrt.f64 (/.f64 l d))
accuracy15.263331644422065
(sqrt.f64 (/.f64 d h))
Samples
219.0ms256×0valid
Compiler

Compiled 689 to 79 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-div: 107.0ms (57.9% of total)
ival-mult: 49.0ms (26.5% of total)
ival-sqrt: 12.0ms (6.5% of total)
ival-pow: 11.0ms (5.9% of total)
ival-pow2: 3.0ms (1.6% of total)
ival-sub: 2.0ms (1.1% of total)
ival-add: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series251.0ms (1.1%)

Memory
-46.2MiB live, 209.9MiB allocated
Counts
27 → 1 140
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) #<representation binary64>) () ())
#s(alt (/.f64 d (sqrt.f64 (*.f64 h l))) (patch (/.f64 d (sqrt.f64 (*.f64 h l))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())
#s(alt (*.f64 h l) (patch (*.f64 h l) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))) (patch (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (patch (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) #<representation binary64>) () ())
#s(alt (/.f64 h (*.f64 l (*.f64 l l))) (patch (/.f64 h (*.f64 l (*.f64 l l))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l))) #<representation binary64>) () ())
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Outputs
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/8 (* D (* M h))) (taylor -inf M) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor 0 h) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor 0 h) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor 0 h) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor 0 h) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor inf h) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor inf h) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor inf h) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor inf h) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor -inf h) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor -inf h) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor -inf h) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor -inf h) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor 0 D) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor 0 D) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor 0 D) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor 0 D) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor inf D) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor inf D) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor inf D) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor inf D) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor -inf D) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor -inf D) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor -inf D) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* D (* M h))) (taylor -inf D) (#s(alt (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) (patch (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D) #<representation binary64>) () ())) ())
Calls

285 calls:

TimeVariablePointExpression
25.0ms
D
@inf
(* (sqrt (/ h (* l (* l l)))) (* (* M (* M (* D D))) (/ 1/8 d)))
23.0ms
h
@0
(/ (* M (* (* M (* h 1/8)) D)) (* d l))
19.0ms
M
@0
(/ (* 1/2 (* M D)) (* d 2))
16.0ms
M
@0
(* (sqrt (/ h (* l (* l l)))) (* (* M (* M (* D D))) (/ 1/8 d)))
9.0ms
h
@inf
(/ (* M (* (* M (* h 1/8)) D)) (* d l))

simplify460.0ms (2.1%)

Memory
26.9MiB live, 379.5MiB allocated
Algorithm
egg-herbie
Rules
7 796×lower-*.f64
7 796×lower-*.f32
4 828×lower-fma.f64
4 828×lower-fma.f32
3 098×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031518213
195717648
2351917519
3743017465
0802317141
Stop Event
iter limit
node limit
Counts
1 140 → 1 140
Calls
Call 1
Inputs
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/2 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
(* 1/4 (/ (* D M) d))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
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(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
(* 1/8 (* D (* M h)))
Outputs
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/4 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M h)) D) d)
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D M) (* d l)))
(*.f64 D (*.f64 (/.f64 M (*.f64 d l)) #s(literal 1/2 binary64)))
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
(* 1/4 (/ (* D M) d))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d)
1
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(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))
(* 1/8 (* D (* M h)))
(*.f64 D (*.f64 (*.f64 M h) #s(literal 1/8 binary64)))

rewrite508.0ms (2.3%)

Memory
-3.9MiB live, 456.5MiB allocated
Rules
7 330×lower-*.f32
7 280×lower-*.f64
4 580×lower-/.f32
4 544×lower-/.f64
2 418×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082464
0136442
1461414
23461406
010299402
Stop Event
iter limit
node limit
iter limit
Counts
27 → 738
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d)))
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
(/.f64 h (*.f64 l (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l)))
(/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l))
(fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l)))))
(sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h)))
(/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d))))
(sqrt.f64 (/.f64 d l))
(sqrt.f64 (/.f64 d h))
(sqrt.f64 (/.f64 l d))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M (*.f64 D D))
(sqrt.f64 (/.f64 h d))
(/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))
(*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))) #s(literal 1 binary64)))
(/.f64 h (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) (*.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))))))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) h) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) h) (*.f64 d #s(literal -2 binary64)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) h))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d)) #s(literal -1 binary64)))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h))
(*.f64 h (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)))
(*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 D (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) h))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) h)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d))
(*.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h)) (/.f64 #s(literal 1/2 binary64) (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 #s(literal 1 binary64) h)) (/.f64 D (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) #s(literal -1 binary64)) (neg.f64 h))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 M D))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 #s(literal 1/2 binary64) (*.f64 M D))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 #s(literal 1/2 binary64) (*.f64 M D))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 (*.f64 M D) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l))))
(/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) l))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) l)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) (neg.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 M D)) (*.f64 l (*.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d l))
(/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 l #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) l))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) #s(literal 1 binary64)) (*.f64 d l))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) l))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) #s(literal 1 binary64)) l)
(/.f64 (*.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) l)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) (/.f64 #s(literal 1 binary64) l)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (/.f64 #s(literal 1 binary64) l)) d)
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 #s(literal 1 binary64) l)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) l) (*.f64 d #s(literal 2 binary64)))
(pow.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) l) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 M D)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 l (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 M (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) l)))
(*.f64 M (/.f64 D (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 M (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) l))
(*.f64 D (/.f64 M (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) l))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) l)))
(*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l))
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) l)))
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 (/.f64 D d) l))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d))
(*.f64 (/.f64 D l) (/.f64 M (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 M l) (/.f64 D (*.f64 d #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 l (*.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (pow.f64 (/.f64 l (neg.f64 (*.f64 M D))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 l (*.f64 #s(literal 1/2 binary64) (*.f64 M D))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (pow.f64 (/.f64 l (/.f64 (*.f64 M D) d)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal -2 binary64))
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(*.f64 (pow.f64 (/.f64 d (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 l M) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 l M) #s(literal -1 binary64)) (pow.f64 (/.f64 d (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (*.f64 (*.f64 M M) (*.f64 h #s(literal 1/8 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 l D) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 M M) (*.f64 h #s(literal 1/8 binary64)))) #s(literal -1 binary64)) (/.f64 D d))
(*.f64 M (*.f64 D (*.f64 h #s(literal 1/8 binary64))))
(*.f64 D (*.f64 M (*.f64 h #s(literal 1/8 binary64))))
(*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))
(*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M D))
(*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)
(*.f64 (*.f64 M h) (*.f64 #s(literal 1/8 binary64) D))
(*.f64 (*.f64 D (*.f64 h #s(literal 1/8 binary64))) M)
(*.f64 (*.f64 D (*.f64 M h)) #s(literal 1/8 binary64))

eval415.0ms (1.9%)

Memory
28.8MiB live, 535.7MiB allocated
Compiler

Compiled 60 093 to 3 313 computations (94.5% saved)

prune444.0ms (2%)

Memory
-3.9MiB live, 883.4MiB allocated
Pruning

59 alts after pruning (56 fresh and 3 done)

PrunedKeptTotal
New1 908351 943
Fresh242145
Picked325
Done011
Total1 935591 994
Accuracy
95.9%
Counts
1 994 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.6%
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
35.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))) (sqrt.f64 (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
29.2%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))))
65.9%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
65.1%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) (/.f64 D l))) d)) d)))) (sqrt.f64 (/.f64 h d)))
68.1%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64))) d) (/.f64 M l))) d)))) (sqrt.f64 (/.f64 h d)))
61.8%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))) D)))) (sqrt.f64 (/.f64 h d)))
31.1%
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h)))) (sqrt.f64 l))
42.7%
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
8.8%
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
36.2%
(*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
70.2%
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)) #s(literal 1 binary64)))
69.4%
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
72.1%
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h))))
22.0%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
26.3%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
57.1%
(*.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
47.7%
(*.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
36.4%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
36.8%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
60.5%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
39.8%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
47.4%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
40.8%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
34.1%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
34.0%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
15.6%
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
15.8%
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
29.1%
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
39.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) d) (sqrt.f64 (*.f64 h l)) (*.f64 d (*.f64 l (sqrt.f64 (/.f64 l h))))) (*.f64 l l)))
39.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (*.f64 l (sqrt.f64 (/.f64 l h))))) l) l))
26.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
43.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
17.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
17.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
16.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
14.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d)))) (*.f64 l l)))
10.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
15.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 (sqrt.f64 (*.f64 h l)) (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))))) (*.f64 l l)))
10.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
27.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
26.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
20.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
26.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
33.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
16.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 l l) (/.f64 h l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
25.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
16.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
15.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (neg.f64 l)))))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
16.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
15.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
42.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
27.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
2.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
25.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
26.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
14.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (neg.f64 (*.f64 D (*.f64 D (*.f64 M M)))) d))))
24.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
Compiler

Compiled 5 482 to 1 542 computations (71.9% saved)

regimes327.0ms (1.5%)

Memory
-40.7MiB live, 500.7MiB allocated
Counts
139 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
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(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 h #s(literal 1/2 binary64)) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1/4 binary64)) d) (/.f64 (*.f64 h #s(literal 1/2 binary64)) l)) d)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (*.f64 M (/.f64 h l))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 M (*.f64 d #s(literal 2 binary64))) D) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Calls

7 calls:

81.0ms
D
42.0ms
d
40.0ms
l
40.0ms
(*.f64 M D)
39.0ms
h
Results
AccuracySegmentsBranch
82.5%2d
82.5%2h
82.5%2l
72.1%1M
72.1%1D
75.7%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
72.1%1(*.f64 M D)
Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes138.0ms (0.6%)

Memory
41.6MiB live, 155.8MiB allocated
Counts
112 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (neg.f64 (*.f64 D (*.f64 D (*.f64 M M)))) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 l l) (/.f64 h l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (neg.f64 l)))))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
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(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (*.f64 M D))) (*.f64 (*.f64 d #s(literal 2 binary64)) d))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 d (*.f64 #s(literal 1/2 binary64) (*.f64 M D))) (/.f64 d (*.f64 #s(literal 1/2 binary64) (*.f64 M D)))))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))))) (/.f64 h l))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Outputs
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Calls

3 calls:

57.0ms
h
42.0ms
d
31.0ms
l
Results
AccuracySegmentsBranch
81.6%2d
81.6%2h
81.6%2l
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes205.0ms (0.9%)

Memory
-9.6MiB live, 108.2MiB allocated
Counts
111 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (neg.f64 l)))))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
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(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))))) (/.f64 h l))))
Outputs
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

3 calls:

72.0ms
h
64.0ms
d
30.0ms
l
Results
AccuracySegmentsBranch
81.6%4d
77.1%2h
78.9%3l
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes67.0ms (0.3%)

Memory
12.9MiB live, 49.6MiB allocated
Counts
93 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (neg.f64 (*.f64 D (*.f64 D (*.f64 M M)))) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 l l) (/.f64 h l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (neg.f64 l)))))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
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(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 (sqrt.f64 (*.f64 h l)) (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))))) (*.f64 l l)))
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 d h) l))) (sqrt.f64 d))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h)))) (sqrt.f64 l))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 h d)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D))))) d))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64))) d) (/.f64 M l))) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) (/.f64 D l))) d)) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) (/.f64 (*.f64 M (*.f64 D D)) d)) l) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))) (sqrt.f64 (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 (*.f64 d (/.f64 d h))) (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (neg.f64 #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Outputs
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

1 calls:

61.0ms
d
Results
AccuracySegmentsBranch
81.6%4d
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes260.0ms (1.2%)

Memory
-20.7MiB live, 136.4MiB allocated
Counts
86 → 5
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (neg.f64 (*.f64 D (*.f64 D (*.f64 M M)))) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 l l) (/.f64 h l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (neg.f64 l)))))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) d) (sqrt.f64 (*.f64 h l)) (*.f64 d (*.f64 l (sqrt.f64 (/.f64 l h))))) (*.f64 l l)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (*.f64 l (sqrt.f64 (/.f64 l h))))) l) l))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d (*.f64 d l))) D)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))) D)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 (sqrt.f64 (*.f64 h l)) (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))))) (*.f64 l l)))
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 d h) l))) (sqrt.f64 d))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h)))) (sqrt.f64 l))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 h d)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D))))) d))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64))) d) (/.f64 M l))) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) (/.f64 D l))) d)) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) (/.f64 (*.f64 M (*.f64 D D)) d)) l) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h))))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D))))) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

4 calls:

72.0ms
l
66.0ms
d
60.0ms
h
56.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
74.7%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
72.1%1h
74.6%2l
79.9%5d
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes112.0ms (0.5%)

Memory
2.8MiB live, 86.4MiB allocated
Counts
85 → 5
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
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(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 h d)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D))))) d))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64))) d) (/.f64 M l))) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) (/.f64 D l))) d)) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) (/.f64 (*.f64 M (*.f64 D D)) d)) l) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)) #s(literal 1 binary64)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D))))) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

3 calls:

52.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
31.0ms
l
23.0ms
d
Results
AccuracySegmentsBranch
72.7%2l
72.8%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
78.9%5d
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes35.0ms (0.2%)

Memory
5.8MiB live, 43.3MiB allocated
Counts
79 → 5
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (neg.f64 (*.f64 D (*.f64 D (*.f64 M M)))) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 l l) (/.f64 h l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (neg.f64 l)))))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) d) (sqrt.f64 (*.f64 h l)) (*.f64 d (*.f64 l (sqrt.f64 (/.f64 l h))))) (*.f64 l l)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (*.f64 l (sqrt.f64 (/.f64 l h))))) l) l))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d (*.f64 d l))) D)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))) D)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 (sqrt.f64 (*.f64 h l)) (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))))) (*.f64 l l)))
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 d h) l))) (sqrt.f64 d))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h)))) (sqrt.f64 l))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 h d)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

1 calls:

30.0ms
d
Results
AccuracySegmentsBranch
78.9%5d
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes224.0ms (1%)

Memory
-6.0MiB live, 184.7MiB allocated
Counts
78 → 5
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (neg.f64 (*.f64 D (*.f64 D (*.f64 M M)))) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 l l) (/.f64 h l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (neg.f64 l)))))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) d) (sqrt.f64 (*.f64 h l)) (*.f64 d (*.f64 l (sqrt.f64 (/.f64 l h))))) (*.f64 l l)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (*.f64 l (sqrt.f64 (/.f64 l h))))) l) l))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d (*.f64 d l))) D)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))) D)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 (sqrt.f64 (*.f64 h l)) (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))))) (*.f64 l l)))
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 d h) l))) (sqrt.f64 d))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h)))) (sqrt.f64 l))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 d)) (sqrt.f64 l)) (sqrt.f64 (/.f64 h d)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

5 calls:

63.0ms
h
54.0ms
D
46.0ms
(*.f64 M D)
32.0ms
d
22.0ms
M
Results
AccuracySegmentsBranch
70.2%1h
70.2%1(*.f64 M D)
70.2%1M
70.2%1D
78.0%5d
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes77.0ms (0.3%)

Memory
1.7MiB live, 157.5MiB allocated
Counts
77 → 5
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
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(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))) D)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
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Outputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

3 calls:

25.0ms
d
23.0ms
l
22.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
75.2%5l
69.5%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
76.5%5d
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes121.0ms (0.5%)

Memory
3.8MiB live, 245.9MiB allocated
Counts
73 → 5
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (neg.f64 (*.f64 D (*.f64 D (*.f64 M M)))) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 l l) (/.f64 h l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
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(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (neg.f64 l)))))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
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(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 (sqrt.f64 (*.f64 h l)) (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))))) (*.f64 l l)))
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 d h) l))) (sqrt.f64 d))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h)))) (sqrt.f64 l))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
Outputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d l))) d)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

5 calls:

29.0ms
d
23.0ms
D
22.0ms
h
21.0ms
M
20.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
68.9%2h
65.5%1M
65.5%1(*.f64 M D)
65.5%1D
76.1%5d
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes177.0ms (0.8%)

Memory
2.5MiB live, 79.4MiB allocated
Counts
72 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (neg.f64 (*.f64 D (*.f64 D (*.f64 M M)))) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 l l) (/.f64 h l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (neg.f64 l)))))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) d) (sqrt.f64 (*.f64 h l)) (*.f64 d (*.f64 l (sqrt.f64 (/.f64 l h))))) (*.f64 l l)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (*.f64 l (/.f64 (*.f64 l l) h))) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 h l))))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (*.f64 l (sqrt.f64 (/.f64 l h))))) l) l))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 M (*.f64 (*.f64 M (*.f64 h #s(literal 1/8 binary64))) D)) (*.f64 d (*.f64 d l))) D)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))) D)))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l)))))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 (sqrt.f64 (*.f64 h l)) (*.f64 d d))) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))))) (*.f64 l l)))
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 d h) l))) (sqrt.f64 d))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 d h)))) (sqrt.f64 l))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) l)))
Outputs
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

2 calls:

151.0ms
l
21.0ms
d
Results
AccuracySegmentsBranch
72.0%3l
76.5%6d
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes102.0ms (0.5%)

Memory
32.1MiB live, 183.6MiB allocated
Counts
44 → 5
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (neg.f64 (*.f64 D (*.f64 D (*.f64 M M)))) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 l l) (/.f64 h l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) M) M) (*.f64 D D)) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (neg.f64 l)))))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 h #s(literal 1/8 binary64)) (*.f64 M (*.f64 M (*.f64 D D)))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

7 calls:

16.0ms
D
15.0ms
(*.f64 M D)
15.0ms
h
15.0ms
d
13.0ms
M
Results
AccuracySegmentsBranch
52.9%2(*.f64 M D)
53.0%2M
50.0%2D
63.2%3h
59.9%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
70.1%5d
63.9%3l
Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes19.0ms (0.1%)

Memory
-20.2MiB live, 26.5MiB allocated
Counts
41 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (neg.f64 (*.f64 D (*.f64 D (*.f64 M M)))) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 l l) (/.f64 h l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

1 calls:

16.0ms
d
Results
AccuracySegmentsBranch
67.9%4d
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes51.0ms (0.2%)

Memory
7.9MiB live, 84.5MiB allocated
Counts
37 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (neg.f64 (*.f64 D (*.f64 D (*.f64 M M)))) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

4 calls:

14.0ms
l
13.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
11.0ms
h
11.0ms
d
Results
AccuracySegmentsBranch
55.3%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
54.6%3h
55.4%3l
59.8%4d
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes16.0ms (0.1%)

Memory
-11.6MiB live, 26.4MiB allocated
Counts
36 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (neg.f64 (*.f64 D (*.f64 D (*.f64 M M)))) d))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 D (*.f64 M D))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

1 calls:

14.0ms
d
Results
AccuracySegmentsBranch
59.4%4d
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes11.0ms (0.1%)

Memory
24.0MiB live, 24.0MiB allocated
Counts
31 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 #s(literal 1/8 binary64) d)) (*.f64 M (*.f64 D (*.f64 M D)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
59.4%4d
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes15.0ms (0.1%)

Memory
-34.3MiB live, 23.2MiB allocated
Counts
30 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

1 calls:

13.0ms
d
Results
AccuracySegmentsBranch
58.7%4d
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes10.0ms (0%)

Memory
22.4MiB live, 22.4MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
55.5%3d
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes38.0ms (0.2%)

Memory
-1.3MiB live, 76.4MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

4 calls:

10.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
8.0ms
h
8.0ms
d
8.0ms
l
Results
AccuracySegmentsBranch
54.1%3h
52.3%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
52.3%2l
54.6%3d
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes50.0ms (0.2%)

Memory
-25.0MiB live, 94.1MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 h l) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (* l (/ (* l l) h)))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (* h l))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
(/.f64 #s(approx (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

5 calls:

11.0ms
(*.f64 M D)
10.0ms
d
10.0ms
l
8.0ms
M
8.0ms
h
Results
AccuracySegmentsBranch
52.3%2l
52.3%2h
45.6%2(*.f64 M D)
45.2%2M
52.3%2d
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes16.0ms (0.1%)

Memory
-5.0MiB live, 33.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
Calls

5 calls:

4.0ms
D
3.0ms
d
3.0ms
l
3.0ms
h
3.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
29.1%1D
34.4%4(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
47.3%2h
47.4%2d
47.4%2l
Compiler

Compiled 64 to 42 computations (34.4% saved)

regimes12.0ms (0.1%)

Memory
23.2MiB live, 23.2MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
Calls

5 calls:

2.0ms
d
2.0ms
l
2.0ms
M
2.0ms
h
2.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
28.5%2M
28.6%2(*.f64 M D)
35.3%2h
35.3%2l
35.8%2d
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes22.0ms (0.1%)

Memory
-18.4MiB live, 21.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

13.0ms
(*.f64 M D)
1.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms
l
1.0ms
h
1.0ms
M
Results
AccuracySegmentsBranch
26.0%1M
26.0%1(*.f64 M D)
26.0%1D
26.0%1(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
26.0%1l
26.0%1h
26.0%1d
Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch125.0ms (0.6%)

Memory
25.6MiB live, 104.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
117.0ms
-2.9827284744267607e-271
4.917945046781511e-307
Samples
55.0ms200×0invalid
48.0ms192×0valid
Compiler

Compiled 1 147 to 702 computations (38.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 39.0ms (43.7% of total)
ival-pow: 29.0ms (32.5% of total)
ival-div: 14.0ms (15.7% of total)
ival-pow2: 4.0ms (4.5% of total)
ival-sub: 2.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
-2.9827284744267607e-271
4.917945046781511e-307
Compiler

Compiled 1 087 to 654 computations (39.8% saved)

bsearch221.0ms (1%)

Memory
-28.2MiB live, 267.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
51.0ms
1.1199568046244134e+176
7.77142299661521e+177
83.0ms
1.2898010515892475e-112
3.472810536677739e-110
70.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
Samples
96.0ms390×0invalid
82.0ms400×0valid
Compiler

Compiled 1 770 to 1 085 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-div: 43.0ms (40.3% of total)
ival-mult: 33.0ms (31% of total)
ival-pow: 17.0ms (15.9% of total)
ival-pow2: 8.0ms (7.5% of total)
ival-sub: 4.0ms (3.8% of total)
ival-true: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1199568046244134e+176
7.77142299661521e+177
1.0ms
1.2898010515892475e-112
3.472810536677739e-110
1.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
Compiler

Compiled 1 710 to 1 070 computations (37.4% saved)

bsearch151.0ms (0.7%)

Memory
-14.1MiB live, 179.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1199568046244134e+176
7.77142299661521e+177
1.0ms
1.2898010515892475e-112
3.472810536677739e-110
54.0ms
4.872329439988951e-267
2.909921888681034e-261
58.0ms
-1.1672823309830517e-156
-4.852771936373014e-158
Samples
65.0ms256×0valid
30.0ms219×0invalid
Compiler

Compiled 2 204 to 1 384 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-div: 38.0ms (50.2% of total)
ival-mult: 17.0ms (22.5% of total)
ival-pow: 13.0ms (17.2% of total)
ival-pow2: 5.0ms (6.6% of total)
ival-sub: 2.0ms (2.6% of total)
exact: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch104.0ms (0.5%)

Memory
1.3MiB live, 120.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
5.0ms
1.1199568046244134e+176
7.77142299661521e+177
1.0ms
1.2898010515892475e-112
3.472810536677739e-110
1.0ms
4.872329439988951e-267
2.909921888681034e-261
86.0ms
-8.109220900697732e-141
-1.5185597891384259e-149
Samples
54.0ms153×0invalid
26.0ms160×0valid
Compiler

Compiled 2 364 to 1 484 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 11.0ms (32.6% of total)
ival-mult: 10.0ms (29.6% of total)
ival-pow: 7.0ms (20.7% of total)
ival-pow2: 3.0ms (8.9% of total)
ival-sub: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch47.0ms (0.2%)

Memory
20.5MiB live, 96.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1199568046244134e+176
7.77142299661521e+177
1.0ms
1.2898010515892475e-112
3.472810536677739e-110
39.0ms
4.872329439988951e-267
2.909921888681034e-261
1.0ms
-8.109220900697732e-141
-1.5185597891384259e-149
Samples
20.0ms112×0valid
11.0ms85×0invalid
Compiler

Compiled 2 364 to 1 484 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 8.0ms (34.2% of total)
ival-div: 7.0ms (30% of total)
ival-pow: 5.0ms (21.4% of total)
ival-pow2: 2.0ms (8.6% of total)
ival-sub: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch66.0ms (0.3%)

Memory
17.8MiB live, 130.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1199568046244134e+176
7.77142299661521e+177
1.0ms
1.2898010515892475e-112
3.472810536677739e-110
1.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
57.0ms
-8.109220900697732e-141
-1.5185597891384259e-149
Samples
28.0ms128×0valid
20.0ms136×0invalid
Compiler

Compiled 2 136 to 1 359 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 13.0ms (35.3% of total)
ival-pow: 11.0ms (29.8% of total)
ival-mult: 9.0ms (24.4% of total)
ival-pow2: 3.0ms (8.1% of total)
ival-sub: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch129.0ms (0.6%)

Memory
-40.7MiB live, 175.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
2.735680862486354e+182
1.1040219652073195e+185
1.0ms
1.2898010515892475e-112
3.472810536677739e-110
1.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
46.0ms
-3.2514974591656224e-104
-1.497853293764623e-105
Samples
44.0ms240×0valid
31.0ms223×0invalid
Compiler

Compiled 2 036 to 1 288 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 18.0ms (34.8% of total)
ival-mult: 16.0ms (30.9% of total)
ival-pow: 10.0ms (19.3% of total)
ival-pow2: 5.0ms (9.7% of total)
ival-sub: 2.0ms (3.9% of total)
exact: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0%)

Memory
7.2MiB live, 7.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.735680862486354e+182
1.1040219652073195e+185
1.0ms
1.2898010515892475e-112
3.472810536677739e-110
1.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
1.0ms
-3.2514974591656224e-104
-1.497853293764623e-105
Compiler

Compiled 2 036 to 1 288 computations (36.7% saved)

bsearch58.0ms (0.3%)

Memory
4.8MiB live, 84.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
51.0ms
1.0128878341971992e+132
1.0556658427814364e+134
1.0ms
-2.9827284744267607e-271
4.917945046781511e-307
Samples
25.0ms117×0invalid
19.0ms112×0valid
Compiler

Compiled 1 212 to 756 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 17.0ms (47.6% of total)
ival-mult: 7.0ms (19.6% of total)
ival-pow: 7.0ms (19.6% of total)
ival-pow2: 2.0ms (5.6% of total)
ival-sub: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch196.0ms (0.9%)

Memory
16.2MiB live, 289.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
55.0ms
3.0927257120936223e+151
1.9977662010215972e+153
1.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
67.0ms
-3.9447853957748875e-76
-1.8112303427472197e-85
52.0ms
-3.1632733599215007e+94
-7.792992347983597e+90
Samples
71.0ms402×0invalid
63.0ms384×0valid
Compiler

Compiled 1 938 to 1 233 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-mult: 46.0ms (43.1% of total)
ival-div: 30.0ms (28.1% of total)
ival-pow: 16.0ms (15% of total)
ival-pow2: 8.0ms (7.5% of total)
ival-sub: 4.0ms (3.7% of total)
ival-true: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)

bsearch90.0ms (0.4%)

Memory
-11.6MiB live, 109.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.0927257120936223e+151
1.9977662010215972e+153
1.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
84.0ms
-2.611633668342707e-95
-3.768391732749302e-97
Samples
39.0ms112×0valid
14.0ms115×0invalid
Compiler

Compiled 1 273 to 813 computations (36.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 20.0ms (44.4% of total)
ival-pow2: 11.0ms (24.4% of total)
ival-mult: 7.0ms (15.5% of total)
ival-pow: 5.0ms (11.1% of total)
ival-sub: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch139.0ms (0.6%)

Memory
-21.5MiB live, 105.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
106.0ms
6.576742358485754e-119
1.2898010515892475e-112
1.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
1.0ms
-2.611633668342707e-95
-3.768391732749302e-97
Samples
39.0ms144×0valid
18.0ms148×0invalid
Compiler

Compiled 1 253 to 816 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-pow2: 19.0ms (40.6% of total)
ival-div: 10.0ms (21.4% of total)
ival-mult: 10.0ms (21.4% of total)
ival-pow: 6.0ms (12.8% of total)
ival-sub: 2.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.576742358485754e-119
1.2898010515892475e-112
1.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
1.0ms
-2.611633668342707e-95
-3.768391732749302e-97
Compiler

Compiled 1 253 to 816 computations (34.9% saved)

bsearch3.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.576742358485754e-119
1.2898010515892475e-112
1.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
1.0ms
-2.611633668342707e-95
-3.768391732749302e-97
Compiler

Compiled 1 253 to 816 computations (34.9% saved)

bsearch3.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.576742358485754e-119
1.2898010515892475e-112
1.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
1.0ms
-2.611633668342707e-95
-3.768391732749302e-97
Compiler

Compiled 1 253 to 816 computations (34.9% saved)

bsearch2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
1.0ms
-2.611633668342707e-95
-3.768391732749302e-97
Compiler

Compiled 754 to 503 computations (33.3% saved)

bsearch112.0ms (0.5%)

Memory
3.1MiB live, 123.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
-2.3524789122346477e-296
-6.265790363406256e-307
105.0ms
-3.768391732749302e-97
-1.7098533384852029e-102
Samples
80.0ms144×0valid
16.0ms129×0invalid
Compiler

Compiled 840 to 561 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 22.0ms (40% of total)
ival-pow: 19.0ms (34.5% of total)
ival-mult: 9.0ms (16.4% of total)
ival-pow2: 3.0ms (5.5% of total)
ival-sub: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.2%)

Memory
-22.2MiB live, 93.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
4.917945046781511e-307
2.782988072800883e-306
Samples
15.0ms96×0valid
13.0ms79×0invalid
Compiler

Compiled 223 to 162 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 6.0ms (29% of total)
ival-mult: 6.0ms (29% of total)
ival-pow: 5.0ms (24.2% of total)
ival-pow2: 2.0ms (9.7% of total)
ival-sub: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch53.0ms (0.2%)

Memory
29.3MiB live, 107.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
48.0ms
-1.055073791362615e-265
-2.3076830154680545e-268
Samples
22.0ms128×0valid
18.0ms121×0invalid
Compiler

Compiled 275 to 198 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 9.0ms (33.2% of total)
ival-mult: 8.0ms (29.5% of total)
ival-pow: 6.0ms (22.2% of total)
ival-pow2: 3.0ms (11.1% of total)
ival-sub: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-3.2514974591656224e-104
-1.497853293764623e-105
Compiler

Compiled 239 to 163 computations (31.8% saved)

simplify56.0ms (0.3%)

Memory
1.5MiB live, 79.6MiB allocated
Algorithm
egg-herbie
Rules
202×*-commutative_binary64
170×neg-mul-1_binary64
140×unsub-neg_binary64
86×distribute-rgt-neg-in_binary64
84×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02883699
13913699
24503699
34963699
45433699
55723699
65903699
77093699
88933699
98943699
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))))
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(if (<=.f64 d #s(literal -5343967014842033/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 d #s(literal -3873374817130363/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
Outputs
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))))
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))))
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))))
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))) #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))))
(if (<=.f64 d #s(literal -1992397180993839/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal 5246140168319413/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l)))) (if (<=.f64 d #s(literal 6799999999999999600761687959785736980751714813767260445075857450734287686705592628609537092193780965273497487309849879737241886711016945324189265290160455191404946415534601142272 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))))
(if (<=.f64 d #s(literal -1992397180993839/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))) #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) (if (<=.f64 d #s(literal 5246140168319413/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 l d))))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (if (<=.f64 d #s(literal 6799999999999999600761687959785736980751714813767260445075857450734287686705592628609537092193780965273497487309849879737241886711016945324189265290160455191404946415534601142272 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 h) (sqrt.f64 l)))))))
(if (<=.f64 d #s(literal -1992397180993839/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal 5246140168319413/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (*.f64 h #s(literal 1/8 binary64)))) (*.f64 d (*.f64 d l))))) (/.f64 d (sqrt.f64 (*.f64 h l)))) (if (<=.f64 d #s(literal 6799999999999999600761687959785736980751714813767260445075857450734287686705592628609537092193780965273497487309849879737241886711016945324189265290160455191404946415534601142272 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))))
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(if (<=.f64 d #s(literal -2616539473979321/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (if (<=.f64 d #s(literal -1992397180993839/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/8 binary64)) d)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
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(if (<=.f64 l #s(literal 6325070415853457/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
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(if (<=.f64 d #s(literal -3873374817130363/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(if (<=.f64 d #s(literal -3873374817130363/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

soundness2.9s (13.1%)

Memory
-24.4MiB live, 1 764.5MiB allocated
Rules
11 250×lower-*.f64
11 250×lower-*.f32
7 588×lower-fma.f64
7 588×lower-fma.f32
7 330×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01942
03240
19440
251540
3505840
0812140
0341972
1741940
22561940
311821940
433101940
535421940
636311940
736571940
836741940
936801940
1047671940
1148371940
1248461940
1348461940
1457421940
1572591940
1672771940
1772771940
1872771940
1972771940
0107371940
021913796
161713439
2225613372
3411613325
4763613325
0820813166
065213
0113208
1340189
22263185
08323184
079357
0130349
1438313
22748309
08109308
01359127
13619000
212578983
327898951
451458951
085248870
082464
0136442
1461414
23461406
010299402
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 9 887 to 4 235 computations (57.2% saved)

preprocess139.0ms (0.6%)

Memory
25.5MiB live, 252.9MiB allocated
Remove

(sort M D)

(abs M)

(abs D)

Compiler

Compiled 5 074 to 980 computations (80.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...