Henrywood and Agarwal, Equation (12)

Time bar (total: 24.4s)

analyze391.0ms (1.6%)

Memory
5.1MiB live, 554.5MiB 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)

sample5.2s (21.3%)

Memory
28.7MiB live, 6 808.7MiB allocated
Samples
2.5s13 365×0invalid
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-div: 1.1s (38.4% of total)
ival-mult: 761.0ms (26% of total)
ival-pow: 655.0ms (22.4% of total)
ival-pow2: 235.0ms (8% of total)
ival-sub: 108.0ms (3.7% of total)
exact: 20.0ms (0.7% of total)
ival-true: 17.0ms (0.6% of total)
ival-assert: 9.0ms (0.3% of total)
Bogosity

preprocess341.0ms (1.4%)

Memory
11.6MiB live, 320.2MiB 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)

explain553.0ms (2.3%)

Memory
-20.2MiB live, 546.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
680-2(-6.369902865689298e-297 -9.279118357852975e-153 -8.107393160660645e+22 1.5920971578038095e-231 1.7320028149746514e-181)(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
560-1(-1.3196161981211561e-20 -1.074222048635671e+299 -3.0392745459498227e-210 3.0143881820178957e+64 2.3839614220639577e+188)(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
410-2(9.650528350434399e+116 1.0286198170105152e+46 4.055204498007299e-106 1.2729858913898937e-200 7.830343796649533e+156)(*.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))
240-1(3.510032410531218e-194 3.447265798697119e+142 3.932464307316833e+94 1.2694705495015031e-228 2.4227168567434744e+132)(*.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))))
201(7.693504644831707e-77 5.973329035264374e-190 2.8721624346170848e-251 1.3110108773879094e-222 7.299968436796658e-178)3(8.600086478158209e-14 4.020010198080289e+255 2.9480429127841895e-46 2.2237247856698642e-271 1.4236052299232006e-40)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
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 l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue380
(/.f64 d l)overflow38
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue290
(/.f64 d h)overflow29
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue280
(/.f64 d l)underflow28
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue260
(/.f64 d h)underflow26
*.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*o120
(/.f64 d h)underflow26
(/.f64 d l)underflow28
(*.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))))underflow16
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow71
(*.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)))overflow71
(/.f64 h l)overflow37
(-.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)))overflow84
(*.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))overflow84
(*.f64 M D)overflow26
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow41
*.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 (/.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*o90
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n70
(*.f64 M D)overflow26
*.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))o*u50
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow71
(*.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)))overflow71
(*.f64 M D)overflow26
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow41
(/.f64 h l)underflow25
*.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))u*o20
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow80
(*.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)))underflow80
(*.f64 M D)underflow32
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow41
(/.f64 h l)overflow37
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))u/n10
(*.f64 M D)underflow32
Confusion
Predicted +Predicted -
+835
-36132
Precision
0.6974789915966386
Recall
0.9431818181818182
Confusion?
Predicted +Predicted MaybePredicted -
+8305
-360132
Precision?
0.6974789915966386
Recall?
0.9431818181818182
Freqs
test
numberfreq
0137
180
230
38
41
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
217.0ms512×0valid
Compiler

Compiled 392 to 92 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-mult: 105.0ms (55.5% of total)
ival-div: 42.0ms (22.2% of total)
ival-pow: 21.0ms (11.1% of total)
ival-sub: 15.0ms (7.9% of total)
ival-pow2: 5.0ms (2.6% of total)
ival-true: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.3MiB allocated
Compiler

Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(*.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 #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)

simplify361.0ms (1.5%)

Memory
36.3MiB live, 265.8MiB 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)

localize185.0ms (0.8%)

Memory
2.1MiB live, 121.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy91.2%
(*.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))))
accuracy85.3%
(*.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))
accuracy79.5%
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy75.2%
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Samples
159.0ms256×0valid
Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-div: 45.0ms (66.9% of total)
ival-pow: 10.0ms (14.9% of total)
ival-mult: 8.0ms (11.9% of total)
ival-pow2: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series111.0ms (0.5%)

Memory
-42.0MiB live, 83.1MiB allocated
Counts
6 → 204
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 (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)))) (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) (*.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>) () ())) ())
#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 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (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 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (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 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (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 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (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 0 l) (#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 l) (#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 l) (#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 l) (#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 l) (#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 l) (#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 l) (#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 l) (#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)) (pow (sqrt -1) 2)) (taylor -inf l) (#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)) (pow (sqrt -1) 2)) (taylor -inf l) (#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)) (pow (sqrt -1) 2)) (taylor -inf l) (#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)) (pow (sqrt -1) 2)) (taylor -inf l) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#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>) () ())) ())
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Calls

51 calls:

TimeVariablePointExpression
38.0ms
d
@0
(pow (/ d h) (/ 1 2))
13.0ms
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
M
@0
(pow (/ (* M D) (* 2 d)) 2)

simplify346.0ms (1.4%)

Memory
27.1MiB live, 340.6MiB allocated
Algorithm
egg-herbie
Rules
6 660×lower-fma.f64
6 660×lower-fma.f32
5 620×lower-*.f64
5 620×lower-*.f32
3 426×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01203277
13213193
211473183
326353164
454943164
085383125
Stop Event
iter limit
node limit
Counts
204 → 204
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)))
(* -1/8 (* (/ (* (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))))))
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 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 d d))
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(* -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)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64))))
(* -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)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) 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 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) 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 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) 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 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(*.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)))
(* -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)))))))))
(*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d))))
(* -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)))))))))
(*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d))))
(* -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)))))))))
(*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l))
(* d (sqrt (/ 1 (* h l))))
(*.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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(+ (* -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)))))
(-.f64 (*.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))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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)))))
(-.f64 (*.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))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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)))))
(-.f64 (*.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))) (*.f64 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))))
(+ (* -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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
(* d (sqrt (/ 1 (* h l))))
(*.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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))

rewrite512.0ms (2.1%)

Memory
-1.2MiB live, 495.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 446×lower-*.f32
7 434×lower-*.f64
4 352×lower-fma.f64
4 352×lower-fma.f32
3 368×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02264
03860
112459
282859
0872658
Stop Event
iter limit
node limit
iter limit
Counts
6 → 603
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 (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
(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 (*.f64 d d) h) 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 #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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 h (neg.f64 d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.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 (*.f64 d d) h) h) #s(literal 1/4 binary64))
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(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))

eval129.0ms (0.5%)

Memory
-3.2MiB live, 220.5MiB allocated
Compiler

Compiled 32 235 to 2 662 computations (91.7% saved)

prune174.0ms (0.7%)

Memory
-7.5MiB live, 399.5MiB allocated
Pruning

40 alts after pruning (40 fresh and 0 done)

PrunedKeptTotal
New76940809
Fresh000
Picked101
Done000
Total77040810
Accuracy
93.5%
Counts
810 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.7%
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
27.0%
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
26.5%
(fma.f64 (*.f64 h (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
29.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
27.7%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
27.3%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
28.1%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
48.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
48.9%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
32.5%
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
51.7%
(*.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 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) h)) l)))
67.0%
(*.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 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (*.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D))))))
52.6%
(*.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 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))
51.7%
(*.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 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) h))))))
69.5%
(*.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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
60.8%
(*.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 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))))))
58.6%
(*.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 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))))))
39.6%
(*.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)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 d M)) (/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) D)))) (/.f64 h l))))
43.7%
(*.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))) (*.f64 d (*.f64 d l))))))
35.4%
(*.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))))
38.4%
(*.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))))
66.1%
(*.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))))
37.5%
(*.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))))
37.6%
(*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (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) (*.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))))
37.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 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))))
37.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (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))))
49.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
66.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d 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))))
28.2%
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
27.8%
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
19.4%
#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 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))
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 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l)))
30.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
15.1%
#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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
15.1%
#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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
26.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 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 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))))
2.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d)))))
28.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
Compiler

Compiled 3 046 to 1 836 computations (39.7% saved)

simplify267.0ms (1.1%)

Memory
20.9MiB live, 367.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff1088
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))
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
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
cost-diff320
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
cost-diff2368
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
cost-diff0
(sqrt.f64 (/.f64 d l))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
cost-diff704
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
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-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff1088
(/.f64 (/.f64 (*.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
6 728×lower-*.f32
6 688×lower-*.f64
5 042×lower-/.f32
5 010×lower-/.f64
1 784×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074664
0125650
1284620
21123598
36202598
08891589
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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.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)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 M (*.f64 D (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
D
(*.f64 M D)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
#s(literal 4 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
#s(literal -1/2 binary64)
(/.f64 h l)
h
#s(literal 1 binary64)
(sqrt.f64 (/.f64 h d))
(/.f64 h d)
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(/.f64 (*.f64 d d) (*.f64 h l))
(*.f64 d d)
d
(*.f64 h l)
h
l
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))
(*.f64 M D)
M
D
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
(*.f64 D #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
#s(literal 4 binary64)
(neg.f64 (/.f64 h l))
(/.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 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))
(*.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 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))
(*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)))
(*.f64 M D)
M
D
(*.f64 #s(literal 1/2 binary64) (/.f64 h l))
#s(literal 1/2 binary64)
(/.f64 h l)
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))
(*.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))) (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 #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 D (*.f64 M h)) (*.f64 d (*.f64 #s(literal 2 binary64) l))) #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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 D (*.f64 M h)) (*.f64 d (*.f64 #s(literal 2 binary64) l))) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (*.f64 D (*.f64 M h))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 D (*.f64 M h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.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)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (fma.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 d #s(literal 4 binary64))))
(*.f64 M (*.f64 D (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
D
(*.f64 M D)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d (*.f64 d #s(literal 4 binary64)))
(*.f64 d d)
#s(literal 4 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
#s(literal -1/2 binary64)
(/.f64 h l)
h
#s(literal 1 binary64)
(sqrt.f64 (/.f64 h d))
(/.f64 h d)
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 (*.f64 (*.f64 D #s(literal 1/8 binary64)) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M D)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 M (*.f64 D (*.f64 M (*.f64 D #s(literal 1/8 binary64))))) (*.f64 d d)))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(/.f64 (*.f64 d d) (*.f64 h l))
(*.f64 d d)
d
(*.f64 h l)
h
l
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 M (*.f64 D (*.f64 M (*.f64 D #s(literal 1/8 binary64))))) (*.f64 d d))
(*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))
(*.f64 M (*.f64 D (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))
(*.f64 M D)
M
D
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
(*.f64 D #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)))
#s(literal 4 binary64)
(neg.f64 (/.f64 h l))
(/.f64 (neg.f64 h) l)
(/.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 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 (*.f64 (*.f64 D #s(literal 1/8 binary64)) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M D)))))
(*.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 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))
(-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 (*.f64 (*.f64 D #s(literal 1/8 binary64)) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M D))))
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))
(*.f64 M (*.f64 (*.f64 (*.f64 D #s(literal 1/8 binary64)) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M D)))
(*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)))
(*.f64 M (*.f64 D (*.f64 #s(literal 1/2 binary64) (/.f64 h l))))
(*.f64 M D)
M
D
(*.f64 #s(literal 1/2 binary64) (/.f64 h l))
#s(literal 1/2 binary64)
(/.f64 h l)
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))
(/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M D))
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d (*.f64 d #s(literal 4 binary64)))
(*.f64 d d)
#s(literal 4 binary64)

localize281.0ms (1.2%)

Memory
1.7MiB live, 515.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy86.3%
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))
accuracy83.4%
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))
accuracy79.5%
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy75.2%
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy84.6%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
accuracy78.9%
(/.f64 (*.f64 d d) (*.f64 h l))
accuracy75.8%
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy69.6%
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
accuracy88.6%
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
accuracy79.7%
(sqrt.f64 (/.f64 h d))
accuracy75.8%
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy75.2%
(sqrt.f64 (/.f64 d l))
accuracy99.6%
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 h l))
accuracy75.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
accuracy29.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
accuracy91.5%
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
accuracy91.2%
(*.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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
accuracy79.5%
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy75.2%
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Samples
160.0ms256×0valid
Compiler

Compiled 695 to 69 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 56.0ms (48.9% of total)
ival-div: 30.0ms (26.2% of total)
ival-pow: 11.0ms (9.6% of total)
ival-sqrt: 6.0ms (5.2% of total)
ival-sub: 3.0ms (2.6% of total)
ival-neg: 3.0ms (2.6% of total)
ival-pow2: 3.0ms (2.6% of total)
ival-add: 2.0ms (1.7% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series136.0ms (0.6%)

Memory
7.5MiB live, 277.3MiB allocated
Counts
23 → 936
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 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.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 #s(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 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (patch (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (patch (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))) (patch (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))) #<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) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (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) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M 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>) () ())) ())
#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>) () ())) ())
#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 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (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 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (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 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (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 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (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 (/ (pow d 2) (* h l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor -inf d) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor 0 h) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor 0 h) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor 0 h) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor 0 h) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor inf h) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor inf h) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor inf h) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor inf h) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor -inf h) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor -inf h) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor -inf h) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor -inf h) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor 0 l) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor 0 l) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor 0 l) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor 0 l) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor inf l) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor inf l) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor inf l) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor inf l) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor -inf l) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor -inf l) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor -inf l) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow d 2) (* h l)) (taylor -inf l) (#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 d) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 d) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 d) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 d) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf d) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf d) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf d) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf d) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 M) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 M) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 M) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 M) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf M) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf M) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf M) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf M) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf M) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf M) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf M) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf M) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ())
Calls

234 calls:

TimeVariablePointExpression
9.0ms
h
@0
(/ (/ (* M D) (* d 2)) (/ 1 h))
4.0ms
h
@-inf
(/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d)))
3.0ms
D
@0
(/ (/ (* M (* D 1/2)) (* d 2)) l)
2.0ms
D
@inf
(+ (* (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (neg (/ h l))) (sqrt (/ (* d d) (* h l))))
1.0ms
d
@0
(+ (* (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (neg (/ h l))) (sqrt (/ (* d d) (* h l))))

simplify385.0ms (1.6%)

Memory
22.0MiB live, 694.9MiB allocated
Algorithm
egg-herbie
Rules
8 424×lower-*.f64
8 424×lower-*.f32
5 132×lower-fma.f64
5 132×lower-fma.f32
2 940×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024614653
171314232
2260914176
3584214125
0837713885
Stop Event
iter limit
node limit
Counts
936 → 936
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))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* 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))))
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(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 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)))
(* 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)) 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))))))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 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)))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(* -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))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
(* 4 (/ (pow d 2) (* D M)))
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))
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(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h d)))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h d)))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h d)))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h d)))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(/ (pow d 2) (* h l))
(/.f64 (*.f64 d d) (*.f64 h l))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))
(* 4 (/ (pow d 2) (* D M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M))

rewrite291.0ms (1.2%)

Memory
-24.7MiB live, 572.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 460×lower-*.f32
4 422×lower-*.f64
3 516×lower-/.f32
3 484×lower-/.f64
2 604×lower-pow.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072342
0121311
1458267
24186262
08155262
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 214
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 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) #s(literal 2 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 (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))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 d l))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M 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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(sqrt.f64 (/.f64 h d))
(/.f64 (*.f64 d d) (*.f64 h l))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))
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) (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 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)))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 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 (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)) #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 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 d))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 d)))
(*.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 l d) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.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 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 l))))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 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 (sqrt.f64 (/.f64 l d)) #s(literal -1 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 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) (neg.f64 (log.f64 h))))
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(*.f64 (/.f64 d h) (/.f64 d l))
(*.f64 (/.f64 d h) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d l))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 h l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(*.f64 (/.f64 d l) (/.f64 d h))
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (*.f64 d d))
(*.f64 (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (neg.f64 (*.f64 d d)) (/.f64 #s(literal 1 binary64) (*.f64 h (neg.f64 l))))
(*.f64 (/.f64 (*.f64 d d) h) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 d (*.f64 h l)) d)
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d l))) (/.f64 d h))
(*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (/.f64 d h) d) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 D (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) M)))
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (*.f64 M (neg.f64 D)))
(/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) M) D)
(/.f64 (neg.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64))) (neg.f64 (*.f64 M (neg.f64 D))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) M)) (neg.f64 D))
(/.f64 (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 M D))
(/.f64 (*.f64 (/.f64 (*.f64 d d) M) #s(literal 4 binary64)) D)
(/.f64 (*.f64 (*.f64 d d) (/.f64 #s(literal 4 binary64) D)) M)
(/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) D) M)
(pow.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 D (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) M)) #s(literal -1 binary64))
(*.f64 d (/.f64 (*.f64 d #s(literal 4 binary64)) (*.f64 M D)))
(*.f64 d (*.f64 d (/.f64 #s(literal 4 binary64) (*.f64 M D))))
(*.f64 d (*.f64 (*.f64 d #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 M D))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))
(*.f64 (*.f64 d d) (/.f64 #s(literal 4 binary64) (*.f64 M D)))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 d d) (*.f64 M D)))
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 M D))))
(*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 M D)))
(*.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 M (neg.f64 D))))
(*.f64 (/.f64 (*.f64 d d) M) (/.f64 #s(literal 4 binary64) D))
(*.f64 (/.f64 #s(literal 4 binary64) D) (/.f64 (*.f64 d d) M))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) M) (/.f64 #s(literal 1 binary64) D))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 M D)) (*.f64 d d))
(*.f64 (/.f64 d M) (/.f64 (*.f64 d #s(literal 4 binary64)) D))
(*.f64 (/.f64 d D) (/.f64 (*.f64 d #s(literal 4 binary64)) M))
(*.f64 (/.f64 (*.f64 d d) D) (/.f64 #s(literal 4 binary64) M))
(*.f64 (/.f64 #s(literal 4 binary64) M) (/.f64 (*.f64 d d) D))

eval377.0ms (1.5%)

Memory
28.9MiB live, 607.5MiB allocated
Compiler

Compiled 88 306 to 4 090 computations (95.4% saved)

prune767.0ms (3.1%)

Memory
22.4MiB live, 667.3MiB allocated
Pruning

62 alts after pruning (61 fresh and 1 done)

PrunedKeptTotal
New2 412522 464
Fresh26935
Picked415
Done000
Total2 442622 504
Accuracy
95.5%
Counts
2 504 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.7%
(fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l))))
28.0%
(fma.f64 (*.f64 (/.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
20.7%
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/8 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (neg.f64 (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
25.3%
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
27.0%
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
23.5%
(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
48.1%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
29.7%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l)))
29.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
27.3%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
63.6%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
60.4%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
52.4%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
64.4%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
66.3%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
59.9%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
64.0%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
65.9%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
64.4%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
49.9%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d)))
19.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d)))
8.9%
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
32.5%
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
39.6%
(*.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)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 d M)) (/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) D)))) (/.f64 h l))))
43.7%
(*.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) #s(approx (/ (* (* M D) (* 1/2 (/ h l))) (/ (* (* d d) 4) (* M D))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l)))))))
39.3%
(*.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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
69.5%
(*.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 #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
39.1%
(*.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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
48.9%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
37.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (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))))
48.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h)))
49.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
20.1%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))))
17.6%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
29.2%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.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 (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
17.3%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
15.9%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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))))
26.0%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
31.1%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
17.9%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
15.6%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
24.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
13.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
37.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
17.7%
#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 (/.f64 d h) d)) (sqrt.f64 l)))
28.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
15.1%
#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 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
18.1%
#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 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
28.7%
#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 h l))))
28.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
15.1%
#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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
37.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
26.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 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 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))))
25.8%
#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 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
3.2%
#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 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
28.7%
#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 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
28.7%
#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 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
28.2%
#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 (*.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)))))))
28.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
28.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
27.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
24.2%
#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 3 710 to 2 312 computations (37.7% saved)

simplify227.0ms (0.9%)

Memory
-1.7MiB live, 306.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
cost-diff384
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff704
(/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64)))
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)))
cost-diff0
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
cost-diff320
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))
cost-diff0
(/.f64 d h)
cost-diff0
(sqrt.f64 (/.f64 d h))
cost-diff0
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l 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 d h)) (sqrt.f64 (/.f64 l 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-diff384
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff1088
(/.f64 (/.f64 (*.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
9 396×lower-*.f32
9 358×lower-*.f64
2 428×lower-/.f32
2 396×lower-/.f64
1 738×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072594
0118588
1238566
2823538
36611538
08278534
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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.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 d h)) (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 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D))))
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(*.f64 M (*.f64 D (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
D
(*.f64 M D)
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
l
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
d
#s(literal 4 binary64)
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)
(*.f64 M (*.f64 D (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
D
(*.f64 M D)
(/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64)))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(*.f64 d #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(sqrt.f64 (/.f64 h d))
(/.f64 h d)
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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (fma.f64 h (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))
(*.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 l)) (sqrt.f64 (/.f64 d h)))
(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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 h (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (*.f64 h M)) (/.f64 D (*.f64 d #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d)
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.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 d h)) (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 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64))) (*.f64 l (*.f64 d d)))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D))))
(*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D)))))
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(*.f64 M (*.f64 D (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
D
(*.f64 M D)
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64))))
l
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d (*.f64 d #s(literal 4 binary64)))
(*.f64 d d)
d
#s(literal 4 binary64)
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 h d))))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)
(*.f64 M (*.f64 D (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
D
(*.f64 M D)
(/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64)))
(/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(*.f64 d #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(sqrt.f64 (/.f64 h d))
(/.f64 h d)

localize309.0ms (1.3%)

Memory
-30.5MiB live, 488.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy93.5%
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy91.3%
(/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64)))
accuracy79.7%
(sqrt.f64 (/.f64 h d))
accuracy75.2%
(sqrt.f64 (/.f64 d l))
accuracy87.2%
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy79.5%
(sqrt.f64 (/.f64 d h))
accuracy76.4%
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))
accuracy75.2%
(sqrt.f64 (/.f64 d l))
accuracy99.5%
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
accuracy79.5%
(sqrt.f64 (/.f64 d h))
accuracy75.3%
(sqrt.f64 (/.f64 l d))
accuracy50.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
accuracy100.0%
(*.f64 h l)
accuracy99.7%
(/.f64 d (sqrt.f64 (*.f64 h l)))
accuracy76.1%
(sqrt.f64 (*.f64 h l))
accuracy29.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
accuracy91.5%
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
accuracy91.2%
(*.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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
accuracy79.5%
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy75.2%
(sqrt.f64 (/.f64 d l))
Samples
190.0ms256×0valid
Compiler

Compiled 602 to 68 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-mult: 39.0ms (37.7% of total)
ival-div: 33.0ms (31.9% of total)
ival-pow: 13.0ms (12.6% of total)
ival-sqrt: 8.0ms (7.7% of total)
ival-add: 4.0ms (3.9% of total)
ival-sub: 2.0ms (1.9% of total)
ival-pow2: 2.0ms (1.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series97.0ms (0.4%)

Memory
-24.3MiB live, 209.6MiB allocated
Counts
25 → 1 020
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 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.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 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 d h)) (sqrt.f64 (/.f64 l 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 d h)) (sqrt.f64 (/.f64 l d)))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (patch (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())
#s(alt (/.f64 d h) (patch (/.f64 d h) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) (patch (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.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) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (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) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h 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>) () ())) ())
#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 (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor 0 d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor 0 d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor 0 d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor 0 d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h d)) (taylor inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ h d)) (pow (sqrt -1) 2)) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ h d)) (pow (sqrt -1) 2)) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ h d)) (pow (sqrt -1) 2)) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ h d)) (pow (sqrt -1) 2)) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ())
Calls

255 calls:

TimeVariablePointExpression
13.0ms
h
@inf
(sqrt (* h l))
2.0ms
h
@-inf
(/ d (sqrt (* h l)))
2.0ms
d
@inf
(+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)
2.0ms
d
@0
(sqrt (/ d h))
1.0ms
h
@0
(/ (/ (* h -1/2) l) (* d 4))

simplify385.0ms (1.6%)

Memory
21.4MiB live, 531.3MiB allocated
Algorithm
egg-herbie
Rules
7 874×lower-*.f64
7 874×lower-*.f32
5 194×lower-fma.f64
5 194×lower-fma.f32
3 526×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031416547
190516017
2325115907
3722415835
0823215469
Stop Event
iter limit
node limit
Counts
1 020 → 1 020
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))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* -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))))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
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(+ (* -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))))))
(* 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)) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(sqrt (/ d l))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))
(sqrt (/ d l))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(sqrt (/ d l))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(sqrt (/ d l))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
(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))
(* -1/8 (* (/ (* (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))))))
(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))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(* -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))
Outputs
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(*.f64 h (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)) #s(literal 1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))
(* d (sqrt (/ 1 (* h l))))
(*.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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(+ (* -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)))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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)))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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)))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d) (*.f64 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))))
(+ (* -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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
(* d (sqrt (/ 1 (* h l))))
(*.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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D 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)))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(* 4 (* (pow d 2) l))
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h d)))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h d)))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h d)))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h d)))

rewrite295.0ms (1.2%)

Memory
25.8MiB live, 491.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 694×lower-*.f32
4 656×lower-*.f64
3 224×lower-/.f32
3 192×lower-/.f64
3 092×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072368
0118350
1425322
23857312
08086309
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 000
Calls
Call 1
Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.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 (*.f64 D #s(literal 1/2 binary64))) (*.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 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 d h)) (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)))
(/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64)))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (/.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) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(sqrt.f64 (/.f64 l d))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(sqrt.f64 (/.f64 h d))
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) (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (sqrt.f64 (neg.f64 d)) (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 (sqrt.f64 (/.f64 h d)) #s(literal -1 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 (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)) #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 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 d))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 d)))
(*.f64 (pow.f64 (*.f64 d #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (neg.f64 (log.f64 h))))
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 h (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D)))
(/.f64 (*.f64 M D) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 d h))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))))
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 M D)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 d h))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) h) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) h) d)
(/.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h)) (*.f64 d #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D)) #s(literal -1 binary64))
(*.f64 h (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))))
(*.f64 M (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 M (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) h))
(*.f64 M (/.f64 D (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(*.f64 D (/.f64 M (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) h)
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) h))
(*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))
(*.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (/.f64 M d) #s(literal 1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 h))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 M d)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (neg.f64 (*.f64 M D))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 M D) d)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
#s(literal 1/2 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) l))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 (*.f64 d #s(literal 2 binary64)) l))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) l)
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) (neg.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(/.f64 (*.f64 (neg.f64 M) (/.f64 (*.f64 D #s(literal 1/4 binary64)) d)) (neg.f64 l))
(/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) l))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) #s(literal 1 binary64)) l)
(/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) l)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) l)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) l) (*.f64 d #s(literal 2 binary64)))
(pow.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) l) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 M (*.f64 (/.f64 (*.f64 D #s(literal 1/4 binary64)) d) (/.f64 #s(literal 1 binary64) l)))
(*.f64 M (/.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 M (/.f64 (/.f64 (*.f64 D #s(literal 1/4 binary64)) d) l))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 M (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) d) l))
(*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 (neg.f64 M) (/.f64 (*.f64 D #s(literal 1/4 binary64)) d)) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) l)))
(*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/4 binary64)) l))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d))
(*.f64 (/.f64 M l) (/.f64 (*.f64 D #s(literal 1/4 binary64)) d))
(*.f64 (/.f64 (*.f64 M D) l) (/.f64 #s(literal 1/2 binary64) (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (/.f64 M (*.f64 d #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 l (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 M D) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 l (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 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 (sqrt.f64 (*.f64 h l))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))) (*.f64 (log.f64 (/.f64 l d)) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(neg.f64 (/.f64 d (neg.f64 (sqrt.f64 (*.f64 h l)))))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(/.f64 (sqrt.f64 h) (sqrt.f64 d))
(/.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 d)))
(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))
(pow.f64 (/.f64 d h) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64))
(pow.f64 (/.f64 h d) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 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 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 h d) (/.f64 h d)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 h d))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 h) (/.f64 #s(literal 1 binary64) (sqrt.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 h))
(*.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 h d)))
(*.f64 (sqrt.f64 (neg.f64 h)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 h)))

eval550.0ms (2.3%)

Memory
-123.9MiB live, 569.3MiB allocated
Compiler

Compiled 71 554 to 3 789 computations (94.7% saved)

prune556.0ms (2.3%)

Memory
-20.2MiB live, 877.2MiB allocated
Pruning

68 alts after pruning (65 fresh and 3 done)

PrunedKeptTotal
New2 295302 325
Fresh213556
Picked325
Done011
Total2 319682 387
Accuracy
95.6%
Counts
2 387 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.7%
(fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l))))
28.0%
(fma.f64 (*.f64 (/.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
25.3%
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
23.5%
(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
33.3%
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
48.1%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
29.7%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l)))
55.6%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
59.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
59.4%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
64.4%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
66.3%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
64.0%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
49.9%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d)))
19.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d)))
8.9%
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
32.5%
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
29.5%
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
32.7%
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
53.4%
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
56.0%
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
39.3%
(*.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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
66.4%
(*.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 #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) h) d))))
39.1%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
62.2%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
53.4%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
29.3%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
27.8%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
49.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
69.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
49.0%
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
25.4%
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
10.2%
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
10.6%
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
37.8%
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
17.6%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
17.3%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
15.9%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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))))
26.0%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
15.6%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
19.1%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
32.8%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))))))
15.6%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
21.3%
#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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
24.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
21.3%
#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 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 l d))))
18.6%
#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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
13.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
37.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))))
8.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
17.7%
#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 (/.f64 d h) d)) (sqrt.f64 l)))
28.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
15.1%
#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 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
18.1%
#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 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
25.8%
#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))))
28.7%
#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 h l))))
27.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64)))))
28.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
28.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
15.1%
#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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
25.8%
#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 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
3.2%
#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 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
28.7%
#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 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
28.2%
#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 (*.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)))))))
28.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
28.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
27.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
24.2%
#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 3 757 to 2 400 computations (36.1% saved)

simplify192.0ms (0.8%)

Memory
9.6MiB live, 246.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)))
cost-diff0
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
cost-diff320
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))
cost-diff0
(sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))
cost-diff0
(fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))))
cost-diff0
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))
cost-diff0
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
cost-diff0
(sqrt.f64 (/.f64 d l))
cost-diff0
(neg.f64 (sqrt.f64 (/.f64 d l)))
cost-diff0
#s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))
cost-diff0
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
cost-diff0
(*.f64 d d)
cost-diff0
(/.f64 (*.f64 d d) (*.f64 h l))
cost-diff0
(sqrt.f64 (/.f64 (*.f64 d d) (*.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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
cost-diff320
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
cost-diff384
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
cost-diff1088
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
Rules
6 682×lower-*.f32
6 634×lower-*.f64
4 100×lower-/.f32
4 070×lower-/.f64
1 206×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103703
0160689
1342657
21154645
34444645
46399645
08099636
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
#s(literal 1 binary64)
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(/.f64 (*.f64 d d) (*.f64 h l))
(*.f64 d d)
d
(*.f64 h l)
h
l
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(sqrt.f64 (/.f64 h d))
(/.f64 h d)
h
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))
(fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))))
d
(sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))
(/.f64 (*.f64 l (*.f64 l l)) h)
(*.f64 l (*.f64 l l))
l
(*.f64 l l)
h
(*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)
(*.f64 (*.f64 (*.f64 D D) M) M)
(*.f64 (*.f64 D D) M)
(*.f64 D D)
D
M
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D))))
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(*.f64 M (*.f64 D (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
D
(*.f64 M D)
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
l
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
d
#s(literal 4 binary64)
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 l))
(neg.f64 l)
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (*.f64 (*.f64 M D) h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d)
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.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)))) (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)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))
(/.f64 (*.f64 d d) (*.f64 h l))
(*.f64 d (/.f64 d (*.f64 h l)))
(*.f64 d d)
d
(*.f64 h l)
h
l
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(sqrt.f64 (/.f64 h d))
(/.f64 h d)
h
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d)))) (*.f64 l l)))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d)))) (*.f64 l l))
(fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))))
(fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d))))
d
(sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))
(/.f64 (*.f64 l (*.f64 l l)) h)
(*.f64 l (*.f64 l l))
l
(*.f64 l l)
h
(*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))
(*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d)))
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d))
#s(literal -1/8 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)
(/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d)
(*.f64 (*.f64 (*.f64 D D) M) M)
(*.f64 M (*.f64 M (*.f64 D D)))
(*.f64 (*.f64 D D) M)
(*.f64 M (*.f64 D D))
(*.f64 D D)
D
M
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (fma.f64 (/.f64 h (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 d)))) (sqrt.f64 (neg.f64 l)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 h (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(fma.f64 (/.f64 h (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d (*.f64 d l)))
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D))))
(*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 M (*.f64 D D)))))
(*.f64 h #s(literal -1/2 binary64))
h
#s(literal -1/2 binary64)
(*.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 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))
l
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d (*.f64 d #s(literal 4 binary64)))
(*.f64 d d)
d
#s(literal 4 binary64)
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 l))
(neg.f64 l)

localize324.0ms (1.3%)

Memory
-14.2MiB live, 418.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy95.9%
(*.f64 M (*.f64 D (*.f64 M D)))
accuracy92.9%
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy89.7%
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))
accuracy88.0%
(sqrt.f64 (/.f64 d h))
accuracy86.8%
(sqrt.f64 (*.f64 h l))
accuracy84.2%
(sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))
accuracy80.2%
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))
accuracy51.2%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
accuracy98.0%
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
accuracy87.9%
(sqrt.f64 (/.f64 h d))
accuracy86.4%
(sqrt.f64 (/.f64 d l))
accuracy51.0%
#s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))
accuracy100.0%
(*.f64 d d)
accuracy90.1%
(/.f64 (*.f64 d d) (*.f64 h l))
accuracy83.8%
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
accuracy74.4%
#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))))
accuracy96.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
accuracy94.8%
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
accuracy88.0%
(sqrt.f64 (/.f64 d h))
accuracy86.4%
(sqrt.f64 (/.f64 d l))
Samples
126.0ms127×0invalid
92.0ms129×0valid
Compiler

Compiled 661 to 92 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-mult: 99.0ms (54.2% of total)
ival-div: 46.0ms (25.2% of total)
ival-sqrt: 14.0ms (7.7% of total)
ival-pow: 11.0ms (6% of total)
ival-add: 4.0ms (2.2% of total)
ival-neg: 3.0ms (1.6% of total)
ival-sub: 2.0ms (1.1% of total)
ival-pow2: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series148.0ms (0.6%)

Memory
4.6MiB live, 158.6MiB allocated
Counts
26 → 1 128
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) (patch (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (patch (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ())
#s(alt (*.f64 d d) (patch (*.f64 d d) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ())
#s(alt #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (patch #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) #<representation binary64>) () ())
#s(alt (neg.f64 (sqrt.f64 (/.f64 d l))) (patch (neg.f64 (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) (patch #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)) (patch (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)) #<representation binary64>) () ())
#s(alt (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (patch (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (patch (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (sqrt (* h l)) (taylor 0 h) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor inf h) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor inf h) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor inf h) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor inf h) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor 0 l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor 0 l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor 0 l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor 0 l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ())
Calls

282 calls:

TimeVariablePointExpression
31.0ms
l
@inf
(/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l))
1.0ms
d
@0
(/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l))
1.0ms
D
@0
(/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l))
1.0ms
h
@0
(/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l))
1.0ms
M
@0
(/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l))

simplify512.0ms (2.1%)

Memory
36.5MiB live, 705.9MiB allocated
Algorithm
egg-herbie
Rules
8 988×lower-*.f64
8 988×lower-*.f32
5 492×lower-fma.f64
5 492×lower-fma.f32
3 670×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039020009
1116219313
2420619180
0869718724
Stop Event
iter limit
node limit
Counts
1 128 → 1 128
Calls
Call 1
Inputs
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* 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))))
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(* (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)) 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)))))
(* -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 (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(sqrt (/ d h))
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h)))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3)))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h))))))))
(sqrt (/ d h))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h)))))
(sqrt (/ d h))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l)
(sqrt (/ d h))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(sqrt (/ d h))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2))
(sqrt (/ d h))
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5)))))))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* 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))
(* -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))
(* -1/8 (* (/ (* (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))))))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(sqrt (/ h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(* -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))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(sqrt (* h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* 4 (* (pow d 2) l))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
Outputs
(* 1/2 (/ (* D (* M h)) d))
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D (* M h)) d))
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* D (* M h)) d))
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(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(+ (* -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)))))
(fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (*.f64 M M))) d)))
(+ (* -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)))))
(fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (*.f64 M M))) d)))
(+ (* -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)))))
(fma.f64 d (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (*.f64 M M))) d)))
(* d (sqrt (/ 1 (* h l))))
(*.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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (*.f64 M M) (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 M M)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (*.f64 M M) (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 M M)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (*.f64 M M) (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 M M)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (*.f64 M M) (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 M M)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (*.f64 M M) (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 M M)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (*.f64 M M) (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 M M)))))
(* d (sqrt (/ 1 (* h l))))
(*.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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.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))))))
(*.f64 (*.f64 D D) (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 D D)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (*.f64 D D) (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 D D)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (*.f64 D D) (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 D D)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.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))))))
(*.f64 (*.f64 D D) (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 D D)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (*.f64 D D) (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 D D)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(*.f64 (*.f64 D D) (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (/.f64 d (*.f64 D D)))))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h d))
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(sqrt (/ h d))
(sqrt.f64 (/.f64 h d))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h d)))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h d)))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h d)))
(* (sqrt (/ h d)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h d)))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 h l))
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 h l))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
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(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* 4 (* (pow d 2) l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))
(* (pow D 2) (pow M 2))
(*.f64 D (*.f64 D (*.f64 M M)))

rewrite415.0ms (1.7%)

Memory
3.8MiB live, 635.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 614×lower-*.f32
5 566×lower-*.f64
3 134×lower-/.f32
3 104×lower-/.f64
2 114×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103477
0160453
1595396
25310390
08484381
Stop Event
iter limit
node limit
iter limit
Counts
26 → 1 046
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(/.f64 (*.f64 d d) (*.f64 h l))
(*.f64 d d)
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (/.f64 d l))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))
(fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))))
(sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h))
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)))
(sqrt.f64 (/.f64 d h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(sqrt.f64 (/.f64 h d))
(sqrt.f64 (*.f64 h l))
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 M (*.f64 D (*.f64 M D)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) (neg.f64 (log.f64 h))))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 M D) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)) #s(literal 1 binary64)))
(/.f64 h (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 d h))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 M D)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d h))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d)
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) h) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h)) (*.f64 d #s(literal 2 binary64)))
(pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.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 M D)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 M (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 M (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) h))
(*.f64 M (/.f64 D (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(*.f64 D (/.f64 M (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h))
(*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))
(*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) h))
(*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))
(*.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (/.f64 M d) #s(literal 1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) #s(literal -1 binary64)) (neg.f64 h))
(exp.f64 (*.f64 (log.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 #s(literal 2 binary64) l))
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 l #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) l))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) l)
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) (neg.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(/.f64 (*.f64 (neg.f64 M) (/.f64 (*.f64 D #s(literal 1/4 binary64)) d)) (neg.f64 l))
(/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) l))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) #s(literal 1 binary64)) l)
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) l)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal 1 binary64) l)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) l) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (neg.f64 M) (/.f64 (*.f64 D #s(literal 1/4 binary64)) d)) #s(literal -1 binary64)) l)
(pow.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) l) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 M (*.f64 (/.f64 (*.f64 D #s(literal 1/4 binary64)) d) (/.f64 #s(literal 1 binary64) l)))
(*.f64 M (/.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 M (/.f64 (/.f64 (*.f64 D #s(literal 1/4 binary64)) d) l))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 M (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d #s(literal 2 binary64)) l)))
(*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) l))
(*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 (neg.f64 M) (/.f64 (*.f64 D #s(literal 1/4 binary64)) d)) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) l)))
(*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/4 binary64)) l))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d))
(*.f64 (/.f64 M l) (/.f64 (*.f64 D #s(literal 1/4 binary64)) d))
(*.f64 (/.f64 (*.f64 M D) l) (/.f64 #s(literal 1/2 binary64) (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (/.f64 M (*.f64 d #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 M) (/.f64 (*.f64 D #s(literal 1/4 binary64)) d)))
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 d #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64))) (neg.f64 (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d)
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 2 binary64)) d)
(pow.f64 (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) #s(literal -1 binary64))
(*.f64 M (/.f64 (*.f64 D #s(literal 1/4 binary64)) d))
(*.f64 (*.f64 M D) (/.f64 #s(literal 1/2 binary64) (*.f64 d #s(literal 2 binary64))))
(*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 M (*.f64 d #s(literal 2 binary64))))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(*.f64 (/.f64 M d) (*.f64 D #s(literal 1/4 binary64)))
(*.f64 (*.f64 D #s(literal 1/4 binary64)) (/.f64 M d))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 D (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))
(*.f64 (/.f64 (*.f64 D #s(literal 1/4 binary64)) d) M)
(*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (*.f64 M #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))))
(+.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))
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eval390.0ms (1.6%)

Memory
-6.0MiB live, 553.7MiB allocated
Compiler

Compiled 76 740 to 3 882 computations (94.9% saved)

prune745.0ms (3.1%)

Memory
16.7MiB live, 1 238.4MiB allocated
Pruning

84 alts after pruning (80 fresh and 4 done)

PrunedKeptTotal
New2 269422 311
Fresh223860
Picked325
Done123
Total2 295842 379
Accuracy
96.3%
Counts
2 379 → 84
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.7%
(fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l))))
25.3%
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
23.5%
(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
33.5%
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
55.6%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
59.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
66.3%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
64.0%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
49.9%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d)))
19.7%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d)))
2.5%
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
8.2%
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
2.5%
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d)))
8.9%
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))))
8.9%
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d)))
8.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
29.4%
(*.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
32.6%
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
4.0%
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
32.7%
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
53.4%
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
32.7%
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
56.0%
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
32.8%
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
33.5%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64)))) (*.f64 D (*.f64 M D))) (/.f64 M d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
54.6%
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
34.6%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
61.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)))
48.9%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) #s(literal 1 binary64)))
65.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64)))
58.6%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)))
69.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))))
65.4%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h)))))
43.7%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
19.7%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l)))))
49.0%
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
25.5%
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
8.9%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))
8.9%
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
10.2%
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
10.6%
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
11.9%
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
37.8%
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
17.3%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
15.9%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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))))
26.0%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
28.1%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h)))))))))
21.0%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
23.9%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) d) (sqrt.f64 h)) (sqrt.f64 l) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
20.1%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
20.6%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l)))
21.1%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l))
12.7%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
8.7%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
10.5%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
28.4%
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))))
21.3%
#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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
24.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)))
21.3%
#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 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 l d))))
18.6%
#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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
13.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
15.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
8.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
28.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
15.1%
#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 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
18.1%
#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 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
25.8%
#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))))
28.7%
#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 h l))))
27.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64)))))
28.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
28.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d))
15.1%
#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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
3.2%
#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 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
28.7%
#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 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h))))))
28.2%
#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 (*.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)))))))
28.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
28.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
27.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
24.8%
#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 (*.f64 d d) h) l)))
28.6%
#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 (/.f64 d h) d) l)))
24.2%
#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))))
31.5%
#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 #s(literal 1 binary64)) (*.f64 h (/.f64 l d)))))
29.2%
#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 (*.f64 h l)) d)))
32.2%
#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 l) (/.f64 d h))))
Compiler

Compiled 6 599 to 2 124 computations (67.8% saved)

regimes426.0ms (1.7%)

Memory
-27.0MiB live, 742.5MiB allocated
Counts
165 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l)))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))))
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(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(fma.f64 (*.f64 (/.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(fma.f64 (*.f64 h (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 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 (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64)))))
(*.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 #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) 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) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 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 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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))) (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 (*.f64 D D) (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))) (*.f64 d (*.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) #s(approx (/ (* (* M D) (* 1/2 (/ h l))) (/ (* (* d d) 4) (* M D))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d 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))) (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 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) 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 #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 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))))
(*.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))))
(*.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 (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 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))
(*.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 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))))
(*.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 (*.f64 D (*.f64 M D))) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 #s(literal 1/2 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 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) h))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (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))) (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))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (*.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M 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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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))) (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)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 d M)) (/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.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))) (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 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (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) (*.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))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.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))))
Calls

7 calls:

97.0ms
M
60.0ms
D
58.0ms
(*.f64 M D)
54.0ms
h
52.0ms
l
Results
AccuracySegmentsBranch
79.9%3d
79.3%3h
77.7%2l
69.5%1M
69.5%1D
74.6%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))))
69.5%1(*.f64 M D)
Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes150.0ms (0.6%)

Memory
-40.0MiB live, 157.8MiB allocated
Counts
150 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
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(*.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 (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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))) (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 (*.f64 D D) (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))) (*.f64 d (*.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) #s(approx (/ (* (* M D) (* 1/2 (/ h l))) (/ (* (* d d) 4) (* M D))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d 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))) (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 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) 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 #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))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.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))))
Calls

3 calls:

55.0ms
h
44.0ms
d
41.0ms
l
Results
AccuracySegmentsBranch
76.8%2l
78.5%3h
79.1%3d
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes143.0ms (0.6%)

Memory
37.1MiB live, 228.7MiB allocated
Counts
149 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
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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 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (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 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) 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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(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))))
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(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(fma.f64 (*.f64 (/.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(fma.f64 (*.f64 h (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 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 (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64)))))
(*.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 #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) 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) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 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 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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))) (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 (*.f64 D D) (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))) (*.f64 d (*.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) #s(approx (/ (* (* M D) (* 1/2 (/ h l))) (/ (* (* d d) 4) (* M D))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d 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))) (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 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) h)) l)))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))))
Calls

3 calls:

46.0ms
h
44.0ms
l
43.0ms
d
Results
AccuracySegmentsBranch
75.7%2l
77.3%3h
77.9%3d
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes176.0ms (0.7%)

Memory
11.5MiB live, 320.8MiB allocated
Counts
137 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
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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 (/.f64 #s(literal -1 binary64) h)) (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 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (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 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
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(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (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 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64)))) (*.f64 D (*.f64 M D))) (/.f64 M d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(fma.f64 (*.f64 (/.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(fma.f64 (*.f64 h (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.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 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
Calls

4 calls:

46.0ms
l
43.0ms
d
40.0ms
h
39.0ms
(*.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
74.5%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))))
73.7%3l
74.1%3h
77.8%5d
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes373.0ms (1.5%)

Memory
-8.4MiB live, 312.9MiB allocated
Counts
133 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
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(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (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 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 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h)))))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (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 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64)))) (*.f64 D (*.f64 M D))) (/.f64 M d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(fma.f64 (*.f64 (/.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(fma.f64 (*.f64 h (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64)))) (*.f64 D (*.f64 M D))) (/.f64 M d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))))
Calls

4 calls:

204.0ms
l
42.0ms
h
40.0ms
d
40.0ms
(*.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
72.0%2l
71.5%2h
73.3%3d
71.7%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))))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes125.0ms (0.5%)

Memory
1.0MiB live, 239.8MiB allocated
Counts
120 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
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(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (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 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 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h)))))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (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 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
Calls

3 calls:

48.0ms
l
36.0ms
d
33.0ms
(*.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
71.7%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))))
71.3%2d
69.5%1l
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes190.0ms (0.8%)

Memory
-36.2MiB live, 140.2MiB allocated
Counts
119 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (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 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h)))))
Outputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
Calls

3 calls:

64.0ms
h
50.0ms
(*.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))))
33.0ms
d
Results
AccuracySegmentsBranch
71.1%3d
69.2%2h
71.1%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))))
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes383.0ms (1.6%)

Memory
23.1MiB live, 292.5MiB allocated
Counts
113 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l)))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) 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 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.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)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) #s(literal 1 binary64)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/8 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (neg.f64 (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) d) (sqrt.f64 h)) (sqrt.f64 l) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (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 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.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 (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (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 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 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h)))))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (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 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h 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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
Calls

7 calls:

68.0ms
h
67.0ms
D
65.0ms
l
52.0ms
d
49.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
67.2%2h
71.3%4d
67.2%2l
67.1%2M
67.0%2D
67.2%2(*.f64 M D)
71.2%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))))
Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes147.0ms (0.6%)

Memory
13.0MiB live, 129.4MiB allocated
Counts
112 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
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(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l)))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) 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 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l)))
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) #s(literal 1 binary64)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/8 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (neg.f64 (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) d) (sqrt.f64 h)) (sqrt.f64 l) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (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 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.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 (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (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 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 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h)))))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (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 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) 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 #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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
Calls

2 calls:

85.0ms
d
55.0ms
(*.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
71.2%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))))
71.1%4d
Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes312.0ms (1.3%)

Memory
14.9MiB live, 332.3MiB allocated
Counts
95 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
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(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/8 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (neg.f64 (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) d) (sqrt.f64 h)) (sqrt.f64 l) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (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 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.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 (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h))
Outputs
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (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 #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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
Calls

6 calls:

68.0ms
d
62.0ms
l
58.0ms
h
54.0ms
(*.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))))
34.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
62.2%1M
65.0%2(*.f64 M D)
67.2%4l
62.2%1h
66.5%3d
70.2%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))))
Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes73.0ms (0.3%)

Memory
-4.2MiB live, 114.4MiB allocated
Counts
92 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l)))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) 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 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.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)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) #s(literal 1 binary64)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/8 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (neg.f64 (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) d) (sqrt.f64 h)) (sqrt.f64 l) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
Outputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (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(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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
Calls

2 calls:

40.0ms
D
26.0ms
(*.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
63.6%3D
69.4%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))))
Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes54.0ms (0.2%)

Memory
6.8MiB live, 45.5MiB allocated
Counts
84 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l)))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) 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 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.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)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) #s(literal 1 binary64)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d)))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #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 #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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
Calls

1 calls:

48.0ms
(*.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
68.2%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))))
Compiler

Compiled 40 to 22 computations (45% saved)

regimes198.0ms (0.8%)

Memory
-21.6MiB live, 329.5MiB allocated
Counts
80 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))))
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (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 #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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))
Calls

6 calls:

52.0ms
d
30.0ms
l
24.0ms
M
23.0ms
h
23.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
58.8%2h
56.5%2M
69.1%6l
64.9%4d
59.2%2(*.f64 M D)
66.3%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))))
Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes57.0ms (0.2%)

Memory
7.0MiB live, 102.9MiB allocated
Counts
77 → 6
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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (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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(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 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 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l)))
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))))
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
Calls

2 calls:

29.0ms
(*.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))))
23.0ms
l
Results
AccuracySegmentsBranch
69.1%6l
65.8%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))))
Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes70.0ms (0.3%)

Memory
-10.2MiB live, 146.3MiB allocated
Counts
71 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l)))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) 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 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.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)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l)))
Outputs
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.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 #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 (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 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
Calls

3 calls:

24.0ms
D
22.0ms
l
20.0ms
(*.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
53.9%2D
66.5%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 #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))))
68.0%6l
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes114.0ms (0.5%)

Memory
-7.0MiB live, 108.1MiB allocated
Counts
67 → 6
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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l)))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) 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 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.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)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l 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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l)))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
Calls

3 calls:

60.0ms
l
25.0ms
(*.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))))
19.0ms
d
Results
AccuracySegmentsBranch
68.0%6l
62.9%4d
64.2%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))))
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes44.0ms (0.2%)

Memory
19.2MiB live, 93.6MiB allocated
Counts
66 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l)))))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) 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 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.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)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l)))
Outputs
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (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 #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 (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 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
Calls

2 calls:

21.0ms
l
19.0ms
(*.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
64.2%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))))
67.2%6l
Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes23.0ms (0.1%)

Memory
25.2MiB live, 60.0MiB allocated
Counts
58 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
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(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l)))))
Outputs
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.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 #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 (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 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
Calls

1 calls:

19.0ms
(*.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
64.2%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))))
Compiler

Compiled 40 to 22 computations (45% saved)

regimes41.0ms (0.2%)

Memory
1.8MiB live, 83.0MiB allocated
Counts
56 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l)))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l)))
Calls

2 calls:

20.0ms
(*.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))))
18.0ms
l
Results
AccuracySegmentsBranch
61.5%3l
55.2%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))))
Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes59.0ms (0.2%)

Memory
-22.2MiB live, 110.1MiB allocated
Counts
50 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))))
Calls

3 calls:

21.0ms
(*.f64 M D)
16.0ms
d
15.0ms
l
Results
AccuracySegmentsBranch
47.2%3(*.f64 M D)
57.9%3d
60.7%3l
Compiler

Compiled 20 to 16 computations (20% saved)

regimes83.0ms (0.3%)

Memory
-22.9MiB live, 174.5MiB allocated
Counts
48 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l)))
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(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
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(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (* (* (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) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) 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 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
Calls

5 calls:

20.0ms
l
15.0ms
h
15.0ms
d
15.0ms
M
14.0ms
D
Results
AccuracySegmentsBranch
45.0%2D
54.7%4d
44.6%2M
54.2%4h
55.4%3l
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes87.0ms (0.4%)

Memory
20.5MiB live, 98.9MiB allocated
Counts
45 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l)))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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))))
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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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 (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 (* (* (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 l))))
Calls

4 calls:

45.0ms
h
13.0ms
d
13.0ms
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))))
Results
AccuracySegmentsBranch
53.1%4h
52.2%4d
52.7%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))))
52.2%3l
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes43.0ms (0.2%)

Memory
-0.5MiB live, 79.8MiB 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 D (*.f64 D (*.f64 M M))) (/.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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.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 #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 (/.f64 #s(literal 1 binary64) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
Calls

3 calls:

16.0ms
l
12.0ms
h
12.0ms
(*.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
52.3%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))))
52.7%4h
49.9%3l
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes28.0ms (0.1%)

Memory
-15.6MiB live, 61.7MiB allocated
Counts
40 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #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 #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 (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 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))
Calls

2 calls:

13.0ms
h
11.0ms
(*.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
52.3%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))))
51.1%4h
Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes56.0ms (0.2%)

Memory
35.0MiB live, 76.9MiB allocated
Counts
39 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (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 (sqrt.f64 (/.f64 (*.f64 d d) 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 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (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 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 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 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.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))))
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.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)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))))
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))))
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 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 #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 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
Calls

4 calls:

20.0ms
d
12.0ms
l
11.0ms
h
11.0ms
(*.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
49.1%3h
46.5%2l
46.9%2d
47.9%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))))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes27.0ms (0.1%)

Memory
-15.8MiB live, 24.0MiB allocated
Counts
18 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #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 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 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 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))
Calls

2 calls:

6.0ms
h
6.0ms
d
Results
AccuracySegmentsBranch
46.9%2d
48.4%3h
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes7.0ms (0%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
17 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.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)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) 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 (/.f64 #s(literal 1 binary64) 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 #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)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.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 (/.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 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (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 (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

1 calls:

6.0ms
d
Results
AccuracySegmentsBranch
46.8%2d
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes15.0ms (0.1%)

Memory
-8.7MiB live, 29.8MiB allocated
Counts
8 → 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 (*.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)))) (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)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (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

4 calls:

4.0ms
d
3.0ms
h
3.0ms
l
3.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
32.9%2(*.f64 M D)
45.2%2l
43.9%2h
44.9%2d
Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes18.0ms (0.1%)

Memory
-1.0MiB live, 37.8MiB allocated
Counts
6 → 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 (*.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)))) (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 (*.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 h l))))
Calls

6 calls:

4.0ms
D
3.0ms
h
3.0ms
d
3.0ms
M
3.0ms
l
Results
AccuracySegmentsBranch
36.4%2h
31.2%2M
34.9%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))))
38.0%2d
32.1%2D
37.8%2l
Compiler

Compiled 70 to 47 computations (32.9% saved)

regimes13.0ms (0.1%)

Memory
-24.2MiB live, 24.8MiB 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:

4.0ms
(*.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
D
1.0ms
M
1.0ms
d
1.0ms
h
Results
AccuracySegmentsBranch
28.7%1M
28.7%1D
28.7%1(*.f64 M D)
28.7%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))))
28.7%1h
28.7%1l
28.7%1d
Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch98.0ms (0.4%)

Memory
21.8MiB live, 177.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
-1.994772854034981e-308
2.221207812245938e-307
44.0ms
-9.102065470003914e-150
-2.3282005095199633e-152
Samples
41.0ms240×0valid
29.0ms225×0invalid
Compiler

Compiled 1 253 to 835 computations (33.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 18.0ms (34.7% of total)
ival-mult: 15.0ms (28.9% of total)
ival-pow: 11.0ms (21.2% of total)
ival-pow2: 5.0ms (9.6% of total)
ival-sub: 2.0ms (3.9% 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
7.0MiB live, 7.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.994772854034981e-308
2.221207812245938e-307
1.0ms
-9.102065470003914e-150
-2.3282005095199633e-152
Compiler

Compiled 1 253 to 835 computations (33.4% saved)

bsearch65.0ms (0.3%)

Memory
-2.1MiB live, 113.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
57.0ms
-5.360577318949543e-297
-8.179904689701524e-303
1.0ms
-9.102065470003914e-150
-2.3282005095199633e-152
Samples
23.0ms144×0valid
23.0ms172×0invalid
Compiler

Compiled 1 409 to 955 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 13.0ms (37.2% of total)
ival-mult: 10.0ms (28.6% of total)
ival-pow: 7.0ms (20% of total)
ival-pow2: 3.0ms (8.6% of total)
ival-sub: 1.0ms (2.9% 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
3.5MiB live, 3.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch64.0ms (0.3%)

Memory
2.2MiB live, 119.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
58.0ms
-8.107393160660645e+22
-275413537021197380.0
Samples
25.0ms144×0valid
24.0ms136×0invalid
Compiler

Compiled 745 to 507 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 16.0ms (41.5% of total)
ival-mult: 9.0ms (23.4% of total)
ival-pow: 9.0ms (23.4% of total)
ival-pow2: 3.0ms (7.8% of total)
ival-sub: 1.0ms (2.6% 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
2.8MiB live, 2.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch212.0ms (0.9%)

Memory
1.3MiB live, 282.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
75.0ms
7.693504644831707e-77
7.429591287178022e-69
65.0ms
-5.360577318949543e-297
-8.179904689701524e-303
56.0ms
-5.765950008934355e+207
-1.6065133040210463e+199
Samples
102.0ms368×0valid
68.0ms385×0invalid
Compiler

Compiled 1 684 to 1 152 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-mult: 66.0ms (46.3% of total)
ival-div: 29.0ms (20.4% of total)
ival-pow2: 26.0ms (18.2% of total)
ival-pow: 16.0ms (11.2% of total)
ival-sub: 3.0ms (2.1% of total)
ival-true: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
-33.5MiB live, 4.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
5.229662031129137e-292
9.531388735434342e-252
0.0ms
-3.4170384062132024e-167
0.0
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
5.229662031129137e-292
9.531388735434342e-252
0.0ms
-3.4170384062132024e-167
0.0
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
5.229662031129137e-292
9.531388735434342e-252
0.0ms
-3.4170384062132024e-167
0.0
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
5.229662031129137e-292
9.531388735434342e-252
0.0ms
-3.4170384062132024e-167
0.0
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
5.229662031129137e-292
9.531388735434342e-252
0.0ms
-3.4170384062132024e-167
0.0
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch272.0ms (1.1%)

Memory
11.2MiB live, 484.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
48.0ms
2.2628636928971006e+48
1.4298906180284115e+53
63.0ms
6.299311100083109e-145
9.217811823660441e-136
50.0ms
2.4843679077087993e-187
3.202160881229671e-181
48.0ms
-5.503205010587298e-66
-8.736614333073589e-70
32.0ms
-7.325955988697786e+51
-3.6316794809097083e+51
Samples
106.0ms624×0valid
89.0ms551×0invalid
Compiler

Compiled 2 412 to 1 569 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-mult: 45.0ms (29.9% of total)
ival-pow: 45.0ms (29.9% of total)
ival-div: 42.0ms (27.9% of total)
ival-pow2: 12.0ms (8% of total)
ival-sub: 5.0ms (3.3% of total)
ival-true: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0639247698279717e+234
+inf
0.0ms
5.229662031129137e-292
9.531388735434342e-252
0.0ms
-3.4170384062132024e-167
0.0
0.0ms
-2.656368227281948e+235
-1.2271669011175177e+224
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch45.0ms (0.2%)

Memory
-2.2MiB live, 35.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.2628636928971006e+48
1.4298906180284115e+53
1.0ms
6.299311100083109e-145
9.217811823660441e-136
1.0ms
2.4843679077087993e-187
3.202160881229671e-181
38.0ms
-5.503205010587298e-66
-8.736614333073589e-70
1.0ms
-7.325955988697786e+51
-3.6316794809097083e+51
Samples
23.0ms64×0valid
10.0ms69×0invalid
Compiler

Compiled 2 395 to 1 535 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 18.0ms (63.2% of total)
ival-div: 4.0ms (14% of total)
ival-pow: 4.0ms (14% of total)
ival-sub: 1.0ms (3.5% of total)
ival-pow2: 1.0ms (3.5% 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
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0639247698279717e+234
+inf
0.0ms
5.229662031129137e-292
9.531388735434342e-252
0.0ms
-2.109637372398291e-151
-3.4170384062132024e-167
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0639247698279717e+234
+inf
0.0ms
5.229662031129137e-292
9.531388735434342e-252
0.0ms
-2.109637372398291e-151
-3.4170384062132024e-167
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch189.0ms (0.8%)

Memory
-5.7MiB live, 133.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
92.0ms
-1.8341708093629708e-304
3.75214153359561e-305
86.0ms
-1.5301157802057518e-35
-2.176971493063931e-40
Samples
78.0ms292×0invalid
77.0ms288×0valid
Compiler

Compiled 1 015 to 678 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-pow: 55.0ms (40.9% of total)
ival-mult: 50.0ms (37.2% of total)
ival-div: 20.0ms (14.9% of total)
ival-pow2: 6.0ms (4.5% of total)
ival-sub: 3.0ms (2.2% of total)
exact: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.8341708093629708e-304
3.75214153359561e-305
1.0ms
-1.5301157802057518e-35
-2.176971493063931e-40
Compiler

Compiled 1 015 to 678 computations (33.2% saved)

bsearch30.0ms (0.1%)

Memory
-32.2MiB live, 4.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
-1.8341708093629708e-304
3.75214153359561e-305
1.0ms
-1.5301157802057518e-35
-2.176971493063931e-40
Compiler

Compiled 862 to 588 computations (31.8% saved)

bsearch114.0ms (0.5%)

Memory
34.1MiB live, 117.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
59.0ms
-1.0766291777062663e-302
-1.8341708093629708e-304
47.0ms
-1.5301157802057518e-35
-2.176971493063931e-40
Samples
48.0ms188×0invalid
43.0ms208×0valid
Compiler

Compiled 758 to 512 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-div: 35.0ms (45.2% of total)
ival-pow: 23.0ms (29.7% of total)
ival-mult: 12.0ms (15.5% of total)
ival-pow2: 4.0ms (5.2% of total)
ival-sub: 2.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch254.0ms (1%)

Memory
3.1MiB live, 277.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
114.0ms
9.75591933194039e+260
4.254758396217193e+267
60.0ms
4.5937182062273436e-293
3.002000244190248e-292
66.0ms
-1.3466436767997148e+160
-2.1198713482300692e+158
Samples
104.0ms352×0valid
84.0ms373×0invalid
Compiler

Compiled 923 to 638 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-div: 69.0ms (45.3% of total)
ival-mult: 47.0ms (30.8% of total)
ival-pow: 25.0ms (16.4% of total)
ival-pow2: 7.0ms (4.6% of total)
ival-sub: 3.0ms (2% of total)
ival-true: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0639247698279717e+234
+inf
0.0ms
5.229662031129137e-292
9.531388735434342e-252
0.0ms
-1.8137681164119087e-11
-2.587452412521445e-13
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch86.0ms (0.4%)

Memory
0.6MiB live, 114.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.5937182062273436e-293
3.002000244190248e-292
80.0ms
-4.018645801027548e+193
-1.6998494117702797e+190
Samples
40.0ms128×0valid
32.0ms115×0invalid
Compiler

Compiled 491 to 358 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 28.0ms (44.2% of total)
ival-pow: 24.0ms (37.9% of total)
ival-mult: 8.0ms (12.6% of total)
ival-pow2: 2.0ms (3.2% of total)
ival-sub: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch119.0ms (0.5%)

Memory
-13.0MiB live, 142.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
109.0ms
1.597368895305833e-266
3.0218255835771303e-259
Samples
45.0ms151×0invalid
22.0ms144×0valid
Compiler

Compiled 331 to 246 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 10.0ms (33% of total)
ival-mult: 10.0ms (33% of total)
ival-pow: 6.0ms (19.8% of total)
ival-pow2: 3.0ms (9.9% of total)
ival-sub: 1.0ms (3.3% 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
3.8MiB live, 3.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.597368895305833e-266
3.0218255835771303e-259
Compiler

Compiled 313 to 228 computations (27.2% saved)

bsearch43.0ms (0.2%)

Memory
15.4MiB live, 95.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
39.0ms
-5.155073885604583e-239
-7.71147247509875e-240
Samples
17.0ms78×0invalid
17.0ms96×0valid
Compiler

Compiled 217 to 156 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 12.0ms (45.8% of total)
ival-div: 6.0ms (22.9% of total)
ival-pow: 6.0ms (22.9% of total)
ival-pow2: 2.0ms (7.6% of total)
ival-sub: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch58.0ms (0.2%)

Memory
-30.9MiB live, 128.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
51.0ms
-6.572895992176663e-200
-1.435719911684363e-207
Samples
26.0ms144×0valid
16.0ms134×0invalid
Compiler

Compiled 295 to 201 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 10.0ms (31.4% of total)
ival-mult: 9.0ms (28.2% of total)
ival-pow: 9.0ms (28.2% of total)
ival-pow2: 3.0ms (9.4% 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)

simplify87.0ms (0.4%)

Memory
35.4MiB live, 155.4MiB allocated
Algorithm
egg-herbie
Rules
342×*-commutative_binary64
320×neg-mul-1_binary64
220×unsub-neg_binary64
192×distribute-rgt-neg-in_binary64
186×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04025319
15565319
26665319
37885318
48795318
59545318
611785318
715065318
815345318
915375318
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 d #s(literal -6781338732101207/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) (*.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))))))
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(if (<=.f64 d #s(literal -6781338732101207/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal -311027949635929/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))))))
(if (<=.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)))) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))))
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(if (<=.f64 h #s(literal -280000000000000001437735599829604406994086326444669691097992879441452935922074452037117982927217574487819326282304425590446636903983390988042170402301236215808 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 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) (if (<=.f64 h #s(literal 8269388420366653/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 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 h #s(literal 550000000000000031213269939348062945302689502497294647981324601065974327319764084879426831026924433910786867512053370741566418271612282936595069567937427225498509103905950151711320503263102494697688885265514694300903794874079354404492617207223373705956969460994670592 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 (/.f64 #s(literal 1 binary64) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))))))
(if (<=.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)))) #s(literal -6189700196426901/618970019642690137449562112 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 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) (if (<=.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)))) #s(literal 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) (if (<=.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)))) #s(literal 4000000000000000071463380715227721294958115719866647221775093602238680374746769694703310198479796968316592622963504989040286903141021632643102843229688614169352013734586384083840095699369327263862581888776482840696626798286417136975872 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 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 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))))))
(if (<=.f64 h #s(literal -47999999999999997151181958959825289380591898478526524658565514132042986479605071579200964545151761808255137521147691727874018309172292498708208877491357769433439027079147824474722045771382784 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 d l)) (sqrt.f64 (/.f64 d h)))) (if (<=.f64 h #s(literal 8269388420366653/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 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 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))))
(if (<=.f64 d #s(literal 871298969811201/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 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 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))))
(if (<=.f64 d #s(literal 871298969811201/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 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)))))
(if (<=.f64 l #s(literal -340184356305213/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104 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 -2370006831801635/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 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 (*.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 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 d #s(literal -6781338732101207/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) (*.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))))))
(if (<=.f64 d #s(literal -6781338732101207/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h))))) (if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) (*.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 h l) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))))))
(if (<=.f64 d #s(literal -6781338732101207/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) (*.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))))))
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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 (sqrt.f64 (*.f64 h l))))

soundness2.8s (11.6%)

Memory
11.4MiB live, 2 467.5MiB allocated
Rules
8 988×lower-*.f64
8 988×lower-*.f32
8 424×lower-*.f64
8 424×lower-*.f32
7 874×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031416547
190516017
2325115907
3722415835
0823215469
01203277
13213193
211473183
326353164
454943164
085383125
024614653
171314232
2260914176
3584214125
0837713885
072342
0121311
1458267
24186262
08155262
072368
0118350
1425322
23857312
08086309
02264
03860
112459
282859
0872658
039020009
1116219313
2420619180
0869718724
0103477
0160453
1595396
25310390
08484381
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
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 10 180 to 3 642 computations (64.2% saved)

preprocess330.0ms (1.4%)

Memory
9.6MiB live, 371.8MiB allocated
Remove

(abs M)

Compiler

Compiled 7 904 to 1 368 computations (82.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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