Henrywood and Agarwal, Equation (12)

Time bar (total: 17.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze403.0ms (2.2%)

Memory
40.5MiB live, 609.5MiB 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)

sample6.4s (35.5%)

Memory
7.8MiB live, 7 120.3MiB allocated
Samples
2.9s13 341×0invalid
2.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-div: 1.2s (33.6% of total)
ival-mult: 995.0ms (28.7% of total)
ival-pow: 857.0ms (24.7% of total)
ival-pow2: 263.0ms (7.6% of total)
ival-sub: 140.0ms (4% of total)
exact: 21.0ms (0.6% of total)
ival-true: 18.0ms (0.5% of total)
ival-assert: 9.0ms (0.3% of total)
Bogosity

explain357.0ms (2%)

Memory
-7.9MiB live, 803.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
670-4(2.560320628696519e-187 5.147976804113733e-82 6.008143011329093e+136 4.354016968214545e-158 5.77270874161379e-175)(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
590-3(1.2764841409675968e-84 1.2349236657823874e+230 4.807899549455432e-90 -7.983724271380093e-24 -2.676313056678086e+241)(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
470-0-(*.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))
250-2(3.814862304751718e-194 2.98584936296644e+105 1.5023599487692025e-46 3.0652933612634817e-277 4.3531976025343783e-36)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
240-0-(*.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
00-0-D
00-0-(*.f64 #s(literal 2 binary64) d)
00-0-(/.f64 h l)
00-0-(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
00-0-d
00-0-#s(literal 1 binary64)
00-0-(/.f64 d l)
00-0-(*.f64 M D)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(/.f64 d h)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
00-0-#s(literal 2 binary64)
00-0-l
00-0-(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
00-0-M
00-0-h
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue360
(/.f64 d l)underflow36
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue320
(/.f64 d h)overflow32
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue270
(/.f64 d l)overflow27
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue240
(/.f64 d h)underflow24
*.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*o200
*.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*o130
(/.f64 d h)underflow24
(/.f64 d l)underflow36
(*.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))))underflow20
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow96
(*.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)))overflow96
(/.f64 h l)overflow38
(-.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)))overflow88
(*.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))overflow88
(*.f64 M D)overflow43
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow55
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n120
(*.f64 M D)overflow43
*.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*o80
*.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*u60
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow96
(*.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)))overflow96
(*.f64 M D)overflow43
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow55
(/.f64 h l)underflow25
*.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*u30
*.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*o30
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow68
(*.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)))underflow68
(*.f64 M D)underflow29
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow31
(/.f64 h l)overflow38
Confusion
Predicted +Predicted -
+872
-30137
Precision
0.7435897435897436
Recall
0.9775280898876404
Confusion?
Predicted +Predicted MaybePredicted -
+8702
-300137
Precision?
0.7435897435897436
Recall?
0.9775280898876404
Freqs
test
numberfreq
0139
169
232
313
43
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
112.0ms512×0valid
Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 23.0ms (32.2% of total)
ival-pow: 20.0ms (28% of total)
ival-div: 19.0ms (26.6% of total)
ival-pow2: 6.0ms (8.4% of total)
ival-sub: 2.0ms (2.8% of total)
ival-true: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)

preprocess146.0ms (0.8%)

Memory
6.9MiB live, 200.5MiB allocated
Algorithm
egg-herbie
Rules
6 600×lower-*.f32
6 588×lower-*.f64
3 422×lower-/.f32
3 414×lower-/.f64
2 244×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

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

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(*.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)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify106.0ms (0.6%)

Memory
19.2MiB live, 139.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.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)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff5824
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d 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)
(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 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)))
(*.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 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)
(*.f64 M D)
(*.f64 D M)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)

localize66.0ms (0.4%)

Memory
-14.7MiB live, 97.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy5.855883432575142
(*.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))))
accuracy11.080654495931022
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy13.61716130691708
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy15.340518888736387
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Samples
50.0ms256×0valid
Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-pow: 10.0ms (30.3% of total)
ival-div: 9.0ms (27.3% of total)
ival-mult: 8.0ms (24.3% of total)
ival-pow2: 5.0ms (15.2% of total)
ival-sub: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series64.0ms (0.4%)

Memory
24.7MiB live, 104.1MiB allocated
Counts
6 → 228
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 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.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 #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>) () ())
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Outputs
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#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>) () ())) ())
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#s(alt (* -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))))) (taylor -inf d) (#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>) () ())) ())
#s(alt (* -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))))) (taylor -inf d) (#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>) () ())) ())
#s(alt (* -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))))) (taylor -inf d) (#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>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
7.0ms
M
@inf
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
6.0ms
d
@0
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms
l
@-inf
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
5.0ms
h
@0
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))
4.0ms
h
@-inf
((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))))

simplify189.0ms (1.1%)

Memory
-15.1MiB live, 181.0MiB allocated
Algorithm
egg-herbie
Rules
6 712×lower-*.f64
6 712×lower-*.f32
3 114×lower-fma.f64
3 114×lower-fma.f32
2 960×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01473819
14133735
214983698
341763682
479503682
081723598
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
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)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow 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)))))
(* 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))))))
(* (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) h)) (* (pow d 2) l)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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
(+ 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)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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) 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)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow 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)))))
(* (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) 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)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow 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)))))
(* (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))))))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow 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)) 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))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)))))
(* (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
(+ 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)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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
(+ 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)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow 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)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow 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)))))
(* (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 (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow 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)
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 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 (* (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)))
(* -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)))
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)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -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)))))
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))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) 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))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(* -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 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 M M)) (*.f64 D D)) (/.f64 #s(literal 1/8 binary64) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h)
(* -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 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 M M)) (*.f64 D D)) (/.f64 #s(literal 1/8 binary64) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h)
(* -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 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 M M)) (*.f64 D D)) (/.f64 #s(literal 1/8 binary64) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 M M) #s(literal 1 binary64))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 M M) #s(literal 1 binary64))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 M M) #s(literal 1 binary64))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
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(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(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 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))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)
(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 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
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
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(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
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(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(* -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))
(* -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))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
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(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* -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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(* -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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(* -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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))

rewrite162.0ms (0.9%)

Memory
5.3MiB live, 284.3MiB allocated
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
02272
03868
112467
282867
0873065
Stop Event
iter limit
node limit
iter limit
Counts
6 → 454
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 #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 #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
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eval96.0ms (0.5%)

Memory
14.1MiB live, 167.4MiB allocated
Compiler

Compiled 26 376 to 1 506 computations (94.3% saved)

prune90.0ms (0.5%)

Memory
-25.6MiB live, 114.0MiB allocated
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New65133684
Fresh000
Picked101
Done000
Total65233685
Accuracy
90.7%
Counts
685 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.1%
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
45.2%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h)) (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
27.3%
(fma.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))))
66.6%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
66.3%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
34.0%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
42.2%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
32.2%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
39.8%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
58.4%
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
66.9%
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
66.1%
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 h d) #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))))
67.1%
(*.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)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
68.1%
(*.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)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64)))
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 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (*.f64 (*.f64 d (/.f64 #s(literal 2 binary64) M)) (/.f64 d D)))))
54.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 D M)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) (*.f64 D M)))))
69.0%
(*.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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
69.0%
(*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (pow.f64 h #s(literal -1 binary64))))))
28.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
32.2%
(*.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))))
66.6%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.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))))
33.6%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
39.8%
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64)))
33.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
42.2%
(*.f64 (sqrt.f64 d) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
26.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
46.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
18.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
17.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d))
19.7%
#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 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
13.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
27.3%
#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 #s(literal 1 binary64) (*.f64 l h))) d))
23.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
Compiler

Compiled 1 950 to 1 484 computations (23.9% saved)

simplify125.0ms (0.7%)

Memory
-5.9MiB live, 186.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
cost-diff128
(-.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)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff5824
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)))
cost-diff0
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
cost-diff0
(/.f64 h l)
cost-diff2368
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
cost-diff0
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d))
cost-diff0
(fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
cost-diff0
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
cost-diff0
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
cost-diff0
(*.f64 l h)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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 #s(literal 1 binary64) (*.f64 l h))) d))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff5824
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff6848
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))
Rules
8 058×lower-*.f32
8 008×lower-*.f64
3 608×lower-fma.f32
3 604×lower-fma.f64
3 206×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089674
0152661
1266643
2658635
33254635
47881635
08037628
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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #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))))
(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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)
(*.f64 (/.f64 #s(literal 1/2 binary64) d) D)
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
D
M
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 D #s(literal 1/2 binary64))
(/.f64 M d)
(pow.f64 h #s(literal -1 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
#s(literal 1 binary64)
(*.f64 l h)
l
h
d
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d))
(*.f64 (*.f64 M M) #s(literal -1/8 binary64))
(*.f64 M M)
M
#s(literal -1/8 binary64)
(/.f64 (*.f64 D D) d)
(*.f64 D D)
D
d
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3 binary64))
(/.f64 h l)
h
l
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (/.f64 h l)) d)
(sqrt.f64 (/.f64 h l))
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(/.f64 h l)
h
l
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
(/.f64 #s(literal 2 binary64) M)
#s(literal 2 binary64)
M
(/.f64 d D)
d
D
#s(literal -2 binary64)
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
(*.f64 (/.f64 (/.f64 d l) h) d)
(/.f64 (/.f64 d l) h)
(/.f64 d l)
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
d
(sqrt.f64 (neg.f64 h))
(neg.f64 h)
h
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 M (*.f64 D (/.f64 #s(literal 1/2 binary64) d))) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d 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)
(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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 M (*.f64 D (/.f64 #s(literal 1/2 binary64) d))) h) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (/.f64 #s(literal 1/2 binary64) d))) l) h) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) D))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l)
(/.f64 (*.f64 M (*.f64 D (/.f64 #s(literal 1/2 binary64) d))) l)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)
(*.f64 M (*.f64 D (/.f64 #s(literal 1/2 binary64) d)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) D)
(*.f64 D (/.f64 #s(literal 1/2 binary64) d))
(/.f64 #s(literal 1/2 binary64) d)
#s(literal 1/2 binary64)
D
M
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) h) (*.f64 (/.f64 D d) M))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) D)
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/4 binary64) D)
(*.f64 D #s(literal 1/2 binary64))
(/.f64 M d)
(pow.f64 h #s(literal -1 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (pow.f64 h #s(literal -1 binary64)) l)) d))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
(/.f64 (pow.f64 h #s(literal -1 binary64)) l)
#s(literal 1 binary64)
(*.f64 l h)
l
h
d
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) 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 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 D d)) D (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 D d)) D (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) (/.f64 D d)) D (*.f64 (sqrt.f64 (/.f64 h l)) d))
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) D) d) D)
(*.f64 (*.f64 M M) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (*.f64 M M))
(*.f64 M M)
M
#s(literal -1/8 binary64)
(/.f64 (*.f64 D D) d)
(*.f64 D D)
D
d
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3 binary64))
(/.f64 h l)
h
l
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (/.f64 h l)) d)
(sqrt.f64 (/.f64 h l))
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(/.f64 h l)
h
l
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))
(*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M))
(/.f64 #s(literal 2 binary64) M)
#s(literal 2 binary64)
M
(/.f64 d D)
d
D
#s(literal -2 binary64)
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
(*.f64 (/.f64 (/.f64 d l) h) d)
(/.f64 (/.f64 d l) h)
(/.f64 d l)
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 d))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 h))))
(*.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 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 d)))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
d
(sqrt.f64 (neg.f64 h))
(neg.f64 h)
h
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#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)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)))
(*.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 (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D)
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)

localize261.0ms (1.5%)

Memory
52.4MiB live, 468.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.9429141111337973
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
accuracy2.9981445077432305
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy5.67075836411618
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy7.752699324015803
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy2.5581288466625933
(/.f64 (/.f64 d l) h)
accuracy5.726864448361948
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
accuracy6.024896729004137
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
accuracy10.122452174888984
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
accuracy4.971054984608718
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d))
accuracy6.083181315010456
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
accuracy6.621725793948678
(fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
accuracy7.2679676986815105
(sqrt.f64 (/.f64 h l))
accuracy0.109375
(/.f64 #s(literal 1 binary64) (*.f64 l h))
accuracy0.12109375
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
accuracy8.248142488784135
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
accuracy27.15703648380438
#s(approx (* (* (pow (/ 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 l h))) d))
accuracy2.3797722438412348
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))
accuracy2.9429141111337973
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
accuracy7.595896100789357
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy7.752699324015803
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Samples
84.0ms136×0invalid
83.0ms120×0valid
Compiler

Compiled 685 to 77 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-mult: 53.0ms (41.9% of total)
ival-div: 27.0ms (21.3% of total)
ival-pow: 20.0ms (15.8% of total)
ival-sqrt: 9.0ms (7.1% of total)
ival-pow2: 8.0ms (6.3% of total)
ival-neg: 3.0ms (2.4% of total)
ival-add: 2.0ms (1.6% of total)
ival-sub: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series213.0ms (1.2%)

Memory
1.7MiB live, 542.0MiB allocated
Counts
26 → 1 056
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) #<representation binary64>) () ())
#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 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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 #s(literal 1 binary64) (*.f64 l h))) d)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) #<representation binary64>) () ())
#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (patch (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (patch (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) #<representation binary64>) () ())
#s(alt (/.f64 h l) (patch (/.f64 h l) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (patch (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (patch (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (-.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 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #<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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) (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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 l h)) (patch (/.f64 #s(literal 1 binary64) (*.f64 l h)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (patch (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (patch (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 d l) h) (patch (/.f64 (/.f64 d l) h) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 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 (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#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 #s(literal 1 binary64) (*.f64 l h))) 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 #s(literal 1 binary64) (*.f64 l h))) d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#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 #s(literal 1 binary64) (*.f64 l h))) 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 #s(literal 1 binary64) (*.f64 l h))) d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#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 #s(literal 1 binary64) (*.f64 l h))) 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 #s(literal 1 binary64) (*.f64 l h))) d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#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 #s(literal 1 binary64) (*.f64 l h))) 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 #s(literal 1 binary64) (*.f64 l h))) d)) #<representation binary64>) () ())) ())
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) #<representation binary64>) () ())) ())
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) #<representation binary64>) () ())) ())
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) #<representation binary64>) () ())) ())
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (* h l))) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (* h l))) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (* h l))) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (* h l))) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) #<representation binary64>) () ())) ())
#s(alt (* h l) (taylor 0 h) (#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())) ())
#s(alt (* h l) (taylor 0 h) (#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())) ())
#s(alt (* h l) (taylor 0 h) (#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())) ())
#s(alt (* h l) (taylor 0 h) (#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())) ())
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#s(alt (/ d (* h l)) (taylor -inf d) (#s(alt (/.f64 (/.f64 d l) h) (patch (/.f64 (/.f64 d l) h) #<representation binary64>) () ())) ())
#s(alt (/ d (* h l)) (taylor -inf d) (#s(alt (/.f64 (/.f64 d l) h) (patch (/.f64 (/.f64 d l) h) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
24.0ms
d
@-inf
((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ 1/2 d) D) M) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
19.0ms
h
@-inf
((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ 1/2 d) D) M) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
17.0ms
M
@inf
((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ 1/2 d) D) M) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
11.0ms
d
@0
((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ 1/2 d) D) M) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))
10.0ms
h
@inf
((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* (* (* M M) -1/8) (/ (* D D) d)) (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* (/ 1/2 d) D) M) l) (/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ h l)) (sqrt (pow (/ h l) 3)) (sqrt (* (/ (/ d l) h) d)) (/ (/ d l) h) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)))

simplify220.0ms (1.2%)

Memory
-23.0MiB live, 353.9MiB allocated
Algorithm
egg-herbie
Rules
8 078×lower-*.f64
8 078×lower-*.f32
3 584×lower-fma.f64
3 584×lower-fma.f32
3 280×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022117517
165616920
2233316779
3528816552
0879116234
Stop Event
iter limit
node limit
Counts
1 056 → 1 056
Calls
Call 1
Inputs
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(* 1/4 (/ (* D (* M h)) d))
(sqrt (/ d h))
(sqrt (/ d h))
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(/ (+ (* -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)
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(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
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(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
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(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
1
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(/ (+ (* -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)
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(* -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)))))))))
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(* -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)))))))))
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(* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))
(* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))
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(* (pow h 2) (+ (* -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))))))))
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(* -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)))))))))
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(* -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)))))))))
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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) h)) (* (pow d 2) l)))
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(* 1/2 (/ (* D M) d))
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(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
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(/ (+ (* -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)
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(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
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(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
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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)))))
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1
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(* -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)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
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(/ d (* h l))
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(* 1/2 (/ (* D M) d))
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Outputs
(* 1/4 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (* M h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64))
(sqrt (/ d h))
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(sqrt (/ d h))
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(* d (sqrt (/ 1 (* h l))))
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(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(* d (sqrt (/ 1 (* h l))))
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(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
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(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(sqrt (/ 1 (* h l)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
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(* h l)
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(* h l)
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(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h l)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d))
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(/ d (* h l))
(/.f64 (/.f64 d h) l)
(/ d (* h l))
(/.f64 (/.f64 d h) l)
(/ d (* h l))
(/.f64 (/.f64 d h) l)
(/ d (* h l))
(/.f64 (/.f64 d h) l)
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))

rewrite239.0ms (1.3%)

Memory
16.2MiB live, 373.3MiB allocated
Rules
7 372×lower-*.f32
7 326×lower-*.f64
4 076×lower-/.f32
4 046×lower-/.f64
2 614×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089397
0152383
1458352
23211332
011083326
Stop Event
iter limit
node limit
iter limit
Counts
26 → 979
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))
(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(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(*.f64 l h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d))
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(/.f64 h l)
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
(sqrt.f64 (/.f64 h l))
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))
(/.f64 (/.f64 d l) h)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Outputs
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eval331.0ms (1.8%)

Memory
25.3MiB live, 693.0MiB allocated
Compiler

Compiled 79 700 to 4 551 computations (94.3% saved)

prune307.0ms (1.7%)

Memory
-33.4MiB live, 613.2MiB allocated
Pruning

45 alts after pruning (44 fresh and 1 done)

PrunedKeptTotal
New2 450392 489
Fresh23528
Picked415
Done000
Total2 477452 522
Accuracy
94.1%
Counts
2 522 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.1%
(fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
29.8%
(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
33.1%
(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
45.2%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h)) (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
37.9%
(fma.f64 h (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) (/.f64 d (sqrt.f64 (*.f64 l h))))
27.4%
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
34.0%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
39.8%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
42.2%
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
66.6%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
66.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (*.f64 (*.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)))))
36.1%
(*.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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
32.2%
(*.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))))
36.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
35.6%
(*.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)))) (fma.f64 (*.f64 (/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) l) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
34.4%
(*.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 #s(literal 1/4 binary64) D) (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l)))))
13.5%
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
36.0%
(*.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
18.5%
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)))) (*.f64 l l)))
19.7%
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
23.1%
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
60.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
55.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (/.f64 (/.f64 h l) (sqrt.f64 (/.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
55.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
49.6%
#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 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) D) (/.f64 D d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
53.4%
#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 M (*.f64 (*.f64 #s(literal -1/8 binary64) M) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
23.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
14.3%
#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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 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 (/.f64 d h) d)) (sqrt.f64 l)))
35.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
17.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
27.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l 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 (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
24.3%
#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 h #s(literal -1/2 binary64)) (sqrt.f64 l)) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
19.7%
#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 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
20.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d))
27.3%
#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 (pow.f64 l #s(literal -1 binary64)) h)) d))
33.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
27.3%
#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 #s(literal 1 binary64) (*.f64 l h))) d))
13.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h)))) (sqrt.f64 (sqrt.f64 d))))
60.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (/.f64 #s(literal -1 binary64) h)))
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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
28.1%
#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 l) h) 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Compiler

Compiled 2 021 to 1 659 computations (17.9% saved)

simplify124.0ms (0.7%)

Memory
2.8MiB live, 192.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)
cost-diff0
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
cost-diff6656
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))
cost-diff0
(*.f64 M M)
cost-diff0
(*.f64 (*.f64 M M) #s(literal -1/8 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
cost-diff0
(*.f64 (/.f64 (neg.f64 d) l) d)
cost-diff0
(sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d))
cost-diff0
(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h)))
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 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
cost-diff0
(*.f64 l h)
cost-diff0
(sqrt.f64 (*.f64 l h))
cost-diff0
(/.f64 d (sqrt.f64 (*.f64 l h)))
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 l h))))
cost-diff0
(*.f64 (/.f64 h l) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
cost-diff320
(fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
Rules
7 194×lower-*.f32
7 166×lower-*.f64
3 950×lower-/.f32
3 932×lower-/.f64
2 108×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067436
0104422
1182419
2427419
31977419
44215419
57839419
08036412
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
(fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 h l) #s(literal -1/2 binary64))
(/.f64 h l)
h
l
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))
(*.f64 D (/.f64 M d))
D
(/.f64 M d)
M
d
#s(literal 2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(sqrt.f64 (/.f64 d h))
(/.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 d (sqrt.f64 (*.f64 l h))))
(/.f64 d (sqrt.f64 (*.f64 l h)))
d
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
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 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h)))
(sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d))
(*.f64 (/.f64 (neg.f64 d) l) d)
(/.f64 (neg.f64 d) l)
(neg.f64 d)
d
l
(sqrt.f64 (neg.f64 h))
(neg.f64 h)
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 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (*.f64 M M) #s(literal -1/8 binary64))
(*.f64 M M)
M
#s(literal -1/8 binary64)
(*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(/.f64 (*.f64 D D) d)
(*.f64 D D)
D
d
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
(/.f64 h (pow.f64 l #s(literal 3 binary64)))
h
(pow.f64 l #s(literal 3 binary64))
l
#s(literal 3 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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))
(*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))
(log.f64 (*.f64 l h))
(*.f64 l h)
l
h
#s(literal -1/2 binary64)
d
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 h #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) l) #s(literal 1 binary64))
(*.f64 (/.f64 h l) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
(/.f64 h l)
h
l
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(*.f64 D (/.f64 M d))
(*.f64 (/.f64 M d) D)
D
(/.f64 M d)
M
d
#s(literal 2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(sqrt.f64 (/.f64 d h))
(/.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 d (sqrt.f64 (*.f64 l h))))
(/.f64 d (sqrt.f64 (*.f64 l h)))
d
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
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 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h)))
(sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d))
(*.f64 (/.f64 (neg.f64 d) l) d)
(/.f64 (neg.f64 d) l)
(neg.f64 d)
d
l
(sqrt.f64 (neg.f64 h))
(neg.f64 h)
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 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (*.f64 D D) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))))
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (*.f64 D D) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 M M)))
(*.f64 (*.f64 M M) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (*.f64 M M))
(*.f64 M M)
M
#s(literal -1/8 binary64)
(*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (*.f64 D D) d))
(/.f64 (*.f64 D D) d)
(*.f64 D D)
D
d
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
(/.f64 h (pow.f64 l #s(literal 3 binary64)))
h
(pow.f64 l #s(literal 3 binary64))
l
#s(literal 3 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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 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 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
(*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))
(log.f64 (*.f64 l h))
(*.f64 l h)
l
h
#s(literal -1/2 binary64)
d

localize182.0ms (1%)

Memory
2.9MiB live, 243.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)
accuracy2.312446724357451
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))
accuracy8.370667566794474
(log.f64 (*.f64 l h))
accuracy27.15703648380438
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
accuracy5.162524116007755
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
accuracy6.598469158041338
(*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
accuracy8.699818581040864
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
accuracy28.43115949818931
#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 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
accuracy0.07421875
(*.f64 (/.f64 (neg.f64 d) l) d)
accuracy1.737600032703101
(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h)))
accuracy9.436811181844496
(sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d))
accuracy16.38210316504425
#s(approx (* (* (pow (/ 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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
accuracy0
(*.f64 l h)
accuracy0.09375
(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy8.224467590455466
(sqrt.f64 (*.f64 l h))
accuracy27.15703648380438
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy1.9755277030170304
(*.f64 D (/.f64 M d))
accuracy5.268550299673785
(fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy7.595896100789357
(sqrt.f64 (/.f64 d h))
accuracy7.752699324015803
(sqrt.f64 (/.f64 d l))
Samples
71.0ms136×0invalid
57.0ms120×0valid
Compiler

Compiled 417 to 62 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 31.0ms (35.3% of total)
ival-div: 17.0ms (19.3% of total)
ival-pow: 15.0ms (17.1% of total)
ival-sqrt: 9.0ms (10.2% of total)
ival-pow2: 5.0ms (5.7% of total)
ival-exp: 3.0ms (3.4% of total)
ival-log: 3.0ms (3.4% of total)
ival-neg: 2.0ms (2.3% of total)
ival-add: 1.0ms (1.1% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series354.0ms (2%)

Memory
56.9MiB live, 540.0MiB allocated
Counts
26 → 960
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 h l) #s(literal -1/2 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 l h)))) (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 l h)))) #<representation binary64>) () ())
#s(alt (/.f64 d (sqrt.f64 (*.f64 l h))) (patch (/.f64 d (sqrt.f64 (*.f64 l h))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 l h)) (patch (sqrt.f64 (*.f64 l h)) #<representation binary64>) () ())
#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h)))) (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 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h)))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))) (patch (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (patch (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 d) l) d) (patch (*.f64 (/.f64 (neg.f64 d) l) d) #<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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) (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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) (patch (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 M M) (patch (*.f64 M M) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) (patch (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d) (patch (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)) (patch (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())
#s(alt (*.f64 D (/.f64 M d)) (patch (*.f64 D (/.f64 M d)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (patch (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 l h)) (patch (log.f64 (*.f64 l h)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 h) (#s(alt (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 h) (#s(alt (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) (taylor 0 h) (#s(alt (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) (taylor 0 h) (#s(alt (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) (taylor 0 h) (#s(alt (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ h l)) (taylor 0 h) (#s(alt (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ h l)) (taylor 0 h) (#s(alt (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ h l)) (taylor 0 h) (#s(alt (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ h l)) (taylor 0 h) (#s(alt (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#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 l h)))) (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 l h)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#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 l h)))) (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 l h)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#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 l h)))) (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 l h)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#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 l h)))) (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 l h)))) #<representation binary64>) () ())) ())
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (/.f64 d (sqrt.f64 (*.f64 l h))) (patch (/.f64 d (sqrt.f64 (*.f64 l h))) #<representation binary64>) () ())) ())
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (/.f64 d (sqrt.f64 (*.f64 l h))) (patch (/.f64 d (sqrt.f64 (*.f64 l h))) #<representation binary64>) () ())) ())
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (/.f64 d (sqrt.f64 (*.f64 l h))) (patch (/.f64 d (sqrt.f64 (*.f64 l h))) #<representation binary64>) () ())) ())
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (/.f64 d (sqrt.f64 (*.f64 l h))) (patch (/.f64 d (sqrt.f64 (*.f64 l h))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor 0 h) (#s(alt (sqrt.f64 (*.f64 l h)) (patch (sqrt.f64 (*.f64 l h)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor 0 h) (#s(alt (sqrt.f64 (*.f64 l h)) (patch (sqrt.f64 (*.f64 l h)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor 0 h) (#s(alt (sqrt.f64 (*.f64 l h)) (patch (sqrt.f64 (*.f64 l h)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* h l)) (taylor 0 h) (#s(alt (sqrt.f64 (*.f64 l h)) (patch (sqrt.f64 (*.f64 l h)) #<representation binary64>) () ())) ())
#s(alt (* h l) (taylor 0 h) (#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())) ())
#s(alt (* h l) (taylor 0 h) (#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())) ())
#s(alt (* h l) (taylor 0 h) (#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())) ())
#s(alt (* h l) (taylor 0 h) (#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor -inf d) (#s(alt (*.f64 D (/.f64 M d)) (patch (*.f64 D (/.f64 M d)) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor -inf d) (#s(alt (*.f64 D (/.f64 M d)) (patch (*.f64 D (/.f64 M d)) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor -inf d) (#s(alt (*.f64 D (/.f64 M d)) (patch (*.f64 D (/.f64 M d)) #<representation binary64>) () ())) ())
#s(alt (/ (* D M) d) (taylor -inf d) (#s(alt (*.f64 D (/.f64 M d)) (patch (*.f64 D (/.f64 M d)) #<representation binary64>) () ())) ())
#s(alt (* (/ (pow D 2) d) (sqrt (/ h (pow l 3)))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (patch (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (/ (pow D 2) d) (sqrt (/ h (pow l 3)))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (patch (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (/ (pow D 2) d) (sqrt (/ h (pow l 3)))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (patch (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (/ (pow D 2) d) (sqrt (/ h (pow l 3)))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (patch (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
65.0ms
h
@-inf
((+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (* (/ h l) -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ (neg d) l) d)) (sqrt (neg h))) (sqrt (* (/ (neg d) l) d)) (* (/ (neg d) l) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) -1/8) (* (/ (* D D) d) (sqrt (/ h (pow l 3))))) (* (* M M) -1/8) (* M M) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (sqrt (/ d h)) (* D (/ M d)) (sqrt (/ h (pow l 3))) (* (/ (* D D) d) (sqrt (/ h (pow l 3)))) (log (* l h)))
58.0ms
h
@0
((+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (* (/ h l) -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ (neg d) l) d)) (sqrt (neg h))) (sqrt (* (/ (neg d) l) d)) (* (/ (neg d) l) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) -1/8) (* (/ (* D D) d) (sqrt (/ h (pow l 3))))) (* (* M M) -1/8) (* M M) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (sqrt (/ d h)) (* D (/ M d)) (sqrt (/ h (pow l 3))) (* (/ (* D D) d) (sqrt (/ h (pow l 3)))) (log (* l h)))
43.0ms
l
@-inf
((+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (* (/ h l) -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ (neg d) l) d)) (sqrt (neg h))) (sqrt (* (/ (neg d) l) d)) (* (/ (neg d) l) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) -1/8) (* (/ (* D D) d) (sqrt (/ h (pow l 3))))) (* (* M M) -1/8) (* M M) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (sqrt (/ d h)) (* D (/ M d)) (sqrt (/ h (pow l 3))) (* (/ (* D D) d) (sqrt (/ h (pow l 3)))) (log (* l h)))
35.0ms
l
@inf
((+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (* (/ h l) -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ (neg d) l) d)) (sqrt (neg h))) (sqrt (* (/ (neg d) l) d)) (* (/ (neg d) l) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) -1/8) (* (/ (* D D) d) (sqrt (/ h (pow l 3))))) (* (* M M) -1/8) (* M M) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (sqrt (/ d h)) (* D (/ M d)) (sqrt (/ h (pow l 3))) (* (/ (* D D) d) (sqrt (/ h (pow l 3)))) (log (* l h)))
21.0ms
l
@0
((+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (* (/ h l) -1/2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ (neg d) l) d)) (sqrt (neg h))) (sqrt (* (/ (neg d) l) d)) (* (/ (neg d) l) d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (* M M) -1/8) (* (/ (* D D) d) (sqrt (/ h (pow l 3))))) (* (* M M) -1/8) (* M M) (exp (* (log (* l h)) -1/2)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (exp (* (log (* l h)) -1/2)) d) (* (log (* l h)) -1/2) (sqrt (/ d l)) (sqrt (/ d h)) (* D (/ M d)) (sqrt (/ h (pow l 3))) (* (/ (* D D) d) (sqrt (/ h (pow l 3)))) (log (* l h)))

simplify339.0ms (1.9%)

Memory
-24.1MiB live, 356.4MiB allocated
Algorithm
egg-herbie
Rules
8 142×lower-*.f64
8 142×lower-*.f32
4 714×lower-fma.f64
4 714×lower-fma.f32
2 740×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026214755
174814275
2253114219
3569214163
0824613851
Stop Event
iter limit
node limit
Counts
960 → 960
Calls
Call 1
Inputs
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))))
(* 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)
(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)))))))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ 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)
(* 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))
(* h l)
(* h l)
(* h l)
(* 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)
(* 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))))
(/ (+ (* -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)))))
(* -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 (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(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)
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* -1/2 (+ (log h) (log l)))
(* -1/2 (+ (log h) (log l)))
(* -1/2 (+ (log h) (log l)))
(* -1/2 (+ (log h) (log l)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(sqrt (/ h (pow l 3)))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(+ (log h) (log l))
(+ (log h) (log l))
(+ (log h) (log l))
(+ (log h) (log l))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* 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) 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))))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -1/2 (/ h l))
(* -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))))))
(* 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))
(* h l)
(* h l)
(* h l)
(* h l)
(* -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))))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* -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)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 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 (pow l 3)))))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(* -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))))))
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(* -1/2 (+ (log l) (* -1 (log (/ 1 h)))))
(sqrt (/ d h))
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(sqrt (/ h (pow l 3)))
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(sqrt (/ h (pow l 3)))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(+ (log l) (* -1 (log (/ 1 h))))
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(+ (log l) (* -1 (log (/ 1 h))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
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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) 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)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) 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 (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 (pow l 3)))))
(* -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 M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 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)
(* -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))
(* -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))))
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(* -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))))
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(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* -1 (/ (pow d 2) l))
(* -1 (/ (pow d 2) l))
(* -1 (/ (pow d 2) l))
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(* -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)
(* -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 (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 (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)) (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))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 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)))))))
(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))))))))
(* 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)))))))
(* 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))) (* -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)))))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* -1 (/ (pow d 2) l))
(* -1 (/ (pow d 2) l))
(* -1 (/ (pow d 2) l))
(* -1 (/ (pow d 2) l))
(* 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)))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 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 (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (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)))))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -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)))))
(* -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 (* (* 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))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* -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)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(* -1 (/ (pow d 2) l))
(* -1 (/ (pow d 2) l))
(* -1 (/ (pow d 2) l))
(* -1 (/ (pow d 2) l))
(* -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)))))
(* -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 (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 (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))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h 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)))
(* -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)))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64))
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) h)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d l)))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) h)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d l)))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
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(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
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(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
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(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
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(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(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 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))
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -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)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) d))) d)
(* -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)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) d))) d)
(* -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)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (*.f64 M M))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) d))) d)
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (neg.f64 d)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (neg.f64 d)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (neg.f64 d)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (neg.f64 d)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (/ (pow d 2) l))
(*.f64 (neg.f64 d) (/.f64 d l))
(* -1 (/ (pow d 2) l))
(*.f64 (neg.f64 d) (/.f64 d l))
(* -1 (/ (pow d 2) l))
(*.f64 (neg.f64 d) (/.f64 d l))
(* -1 (/ (pow d 2) l))
(*.f64 (neg.f64 d) (/.f64 d l))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* -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))
(* -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))
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))
(*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))

rewrite181.0ms (1%)

Memory
16.6MiB live, 204.4MiB allocated
Rules
4 742×lower-/.f32
4 724×lower-/.f64
4 690×lower-*.f32
4 662×lower-*.f64
2 100×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067352
0104326
1315318
21846306
08225299
Stop Event
iter limit
node limit
iter limit
Counts
26 → 934
Calls
Call 1
Inputs
(fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
(*.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 (sqrt.f64 (*.f64 l h))))
(/.f64 d (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h)))
(sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d))
(*.f64 (/.f64 (neg.f64 d) 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 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (*.f64 M M) #s(literal -1/8 binary64))
(*.f64 M M)
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)
(*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 d l))
(sqrt.f64 (/.f64 d h))
(*.f64 D (/.f64 M d))
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(log.f64 (*.f64 l h))
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eval302.0ms (1.7%)

Memory
-2.2MiB live, 404.2MiB allocated
Compiler

Compiled 40 332 to 3 003 computations (92.6% saved)

prune209.0ms (1.2%)

Memory
-12.3MiB live, 427.4MiB allocated
Pruning

54 alts after pruning (50 fresh and 4 done)

PrunedKeptTotal
New1 898231 921
Fresh122739
Picked235
Done011
Total1 912541 966
Accuracy
94.5%
Counts
1 966 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.1%
(fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
29.8%
(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
33.1%
(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
37.9%
(fma.f64 h (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) (/.f64 d (sqrt.f64 (*.f64 l h))))
41.9%
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 l h)) d))
27.4%
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
34.0%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
66.3%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
66.6%
(*.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
66.9%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
32.2%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
67.8%
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
66.8%
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
66.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (*.f64 (*.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)))))
36.1%
(*.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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
36.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
34.4%
(*.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 #s(literal 1/4 binary64) D) (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l)))))
36.0%
(*.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
40.1%
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
28.3%
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
33.6%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
11.1%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
23.1%
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
60.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
55.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
49.6%
#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 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) D) (/.f64 D d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
53.4%
#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 M (*.f64 (*.f64 #s(literal -1/8 binary64) M) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
4.8%
#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 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
23.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
17.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) d)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
21.6%
#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 (*.f64 (*.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (*.f64 D D)) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d))
14.3%
#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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 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 (/.f64 d h) d)) (sqrt.f64 l)))
35.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
17.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
24.3%
#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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
27.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
26.7%
#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 l h)) 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 (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
4.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l)))))
23.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l))))
24.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) M) d) (/.f64 M (pow.f64 D #s(literal -2 binary64)))) (sqrt.f64 l)) (/.f64 (sqrt.f64 h) (fabs.f64 l))))
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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
20.3%
#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 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D D) (sqrt.f64 h)) (*.f64 d (pow.f64 l #s(literal 3/2 binary64))))))
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 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 D D) d) (fabs.f64 l)) (/.f64 (sqrt.f64 h) (sqrt.f64 l)))))
23.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)))))
27.3%
#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 (pow.f64 l #s(literal -1 binary64)) h)) d))
27.3%
#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 #s(literal 1 binary64) (*.f64 l h))) d))
13.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h)))) (sqrt.f64 (sqrt.f64 d))))
60.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (/.f64 #s(literal -1 binary64) h)))
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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
4.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 #s(approx (log (* l h)) (+.f64 (log.f64 (neg.f64 h)) (log.f64 (neg.f64 l)))) #s(literal -1/2 binary64))) d))
28.1%
#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 l) h) 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Compiler

Compiled 2 198 to 1 841 computations (16.2% saved)

simplify123.0ms (0.7%)

Memory
10.8MiB live, 174.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 h l) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))))
cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
cost-diff320
(fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff0
(neg.f64 h)
cost-diff0
(pow.f64 (neg.f64 h) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 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 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l)))))
cost-diff0
(sqrt.f64 (/.f64 d l))
cost-diff0
(neg.f64 (sqrt.f64 (/.f64 d l)))
cost-diff0
#s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))
cost-diff0
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
cost-diff0
(sqrt.f64 (*.f64 l h))
cost-diff0
(/.f64 d (sqrt.f64 (*.f64 l h)))
cost-diff0
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))
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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
cost-diff0
(*.f64 (/.f64 h l) #s(literal -1/8 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D))
cost-diff0
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
Rules
8 146×lower-*.f32
8 120×lower-*.f64
3 590×lower-/.f32
3 576×lower-/.f64
2 386×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073460
0112446
1202442
2488442
32409442
45096442
08400432
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
(fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D))
(*.f64 (/.f64 h l) #s(literal -1/8 binary64))
(/.f64 h l)
h
l
#s(literal -1/8 binary64)
(*.f64 (/.f64 M d) D)
(/.f64 M d)
M
d
D
#s(literal 1 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(sqrt.f64 (/.f64 d h))
(/.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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 d (sqrt.f64 (*.f64 l h)))
d
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
l
h
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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 d h))
(/.f64 d h)
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 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l)))))
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l))))
(pow.f64 (neg.f64 h) #s(literal -1/2 binary64))
(neg.f64 h)
h
#s(literal -1/2 binary64)
(/.f64 d (sqrt.f64 (neg.f64 l)))
d
(sqrt.f64 (neg.f64 l))
(neg.f64 l)
l
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))))
(fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 h l) #s(literal -1/2 binary64))
(/.f64 h l)
h
l
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))
(*.f64 D (/.f64 M d))
D
(/.f64 M d)
M
d
#s(literal 2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))
(*.f64 (/.f64 d l) (neg.f64 d))
(/.f64 d l)
(neg.f64 d)
(sqrt.f64 (neg.f64 h))
(neg.f64 h)
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
(*.f64 (fma.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
(fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D))
(*.f64 (*.f64 h (*.f64 D #s(literal -1/8 binary64))) (/.f64 (/.f64 M d) l))
(*.f64 (/.f64 h l) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (/.f64 h l))
(/.f64 h l)
h
l
#s(literal -1/8 binary64)
(*.f64 (/.f64 M d) D)
(*.f64 D (/.f64 M d))
(/.f64 M d)
M
d
D
#s(literal 1 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(sqrt.f64 (/.f64 d h))
(/.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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 d (sqrt.f64 (*.f64 l h)))
d
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
l
h
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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 d h))
(/.f64 d h)
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 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.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 (*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) d) (sqrt.f64 (neg.f64 l))))
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) d) (sqrt.f64 (neg.f64 l)))
(pow.f64 (neg.f64 h) #s(literal -1/2 binary64))
(neg.f64 h)
h
#s(literal -1/2 binary64)
(/.f64 d (sqrt.f64 (neg.f64 l)))
d
(sqrt.f64 (neg.f64 l))
(neg.f64 l)
l
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)))
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (fma.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) #s(literal 1 binary64))
(*.f64 (/.f64 h l) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
(/.f64 h l)
h
l
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))
(*.f64 D (/.f64 M d))
D
(/.f64 M d)
M
d
#s(literal 2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))
(sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d))
(*.f64 (/.f64 d l) (neg.f64 d))
(*.f64 (/.f64 (neg.f64 d) l) d)
(/.f64 d l)
(neg.f64 d)
(sqrt.f64 (neg.f64 h))
(neg.f64 h)

localize244.0ms (1.4%)

Memory
11.6MiB live, 285.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.9755277030170304
(*.f64 D (/.f64 M d))
accuracy3.1923947941775777
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))))
accuracy5.268550299673785
(fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy9.436811181844496
(sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))
accuracy0
(neg.f64 h)
accuracy0.13671875
(/.f64 d (sqrt.f64 (neg.f64 l)))
accuracy1.741506282703101
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l))))
accuracy27.15703648380438
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l)))))
accuracy0.7891193111222272
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
accuracy7.595896100789357
(sqrt.f64 (/.f64 d h))
accuracy7.752699324015803
(sqrt.f64 (/.f64 d l))
accuracy29.05152482939943
#s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))
accuracy0
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))
accuracy0.09375
(/.f64 d (sqrt.f64 (*.f64 l h)))
accuracy8.224467590455466
(sqrt.f64 (*.f64 l h))
accuracy16.38210316504425
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
accuracy1.9755277030170304
(*.f64 (/.f64 M d) D)
accuracy5.065917621595652
(*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D))
accuracy7.595896100789357
(sqrt.f64 (/.f64 d h))
accuracy7.752699324015803
(sqrt.f64 (/.f64 d l))
Samples
142.0ms120×0valid
61.0ms136×0invalid
Compiler

Compiled 451 to 62 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-mult: 60.0ms (54.5% of total)
ival-div: 14.0ms (12.7% of total)
ival-pow: 13.0ms (11.8% of total)
ival-sqrt: 9.0ms (8.2% of total)
ival-pow2: 5.0ms (4.5% of total)
ival-neg: 4.0ms (3.6% of total)
ival-add: 2.0ms (1.8% of total)
ival-fabs: 1.0ms (0.9% of total)
ival-sub: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series165.0ms (0.9%)

Memory
-10.1MiB live, 222.0MiB allocated
Counts
25 → 996
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (patch (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (patch (*.f64 (/.f64 h l) #s(literal -1/8 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) (patch (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) #<representation binary64>) () ())
#s(alt (/.f64 d (sqrt.f64 (*.f64 l h))) (patch (/.f64 d (sqrt.f64 (*.f64 l h))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 l h)) (patch (sqrt.f64 (*.f64 l h)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h))) (patch (*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (patch #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 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 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l))))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l)))) (patch (*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (patch (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 h) (patch (neg.f64 h) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (patch (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 M d) D) (patch (*.f64 (/.f64 M d) D) #<representation binary64>) () ())
#s(alt (/.f64 d (sqrt.f64 (neg.f64 l))) (patch (/.f64 d (sqrt.f64 (neg.f64 l))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) (patch (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #<representation binary64>) () ())
#s(alt (*.f64 D (/.f64 M d)) (patch (*.f64 D (/.f64 M d)) #<representation binary64>) () ())
Outputs
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Calls

15 calls:

TimeVariablePointExpression
37.0ms
h
@0
((* (* (+ (* (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ M d) D)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ M d) D)) 1) (sqrt (/ d l))) (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ h l) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg (sqrt (/ d l))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (neg h) -1/2) (/ d (sqrt (neg l)))) (pow (neg h) -1/2) (neg h) (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (* (/ h l) -1/2) (sqrt (/ d h)) (* (/ M d) D) (/ d (sqrt (neg l))) (sqrt (* (/ d l) (neg d))) (* D (/ M d)))
9.0ms
d
@inf
((* (* (+ (* (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ M d) D)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ M d) D)) 1) (sqrt (/ d l))) (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ h l) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg (sqrt (/ d l))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (neg h) -1/2) (/ d (sqrt (neg l)))) (pow (neg h) -1/2) (neg h) (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (* (/ h l) -1/2) (sqrt (/ d h)) (* (/ M d) D) (/ d (sqrt (neg l))) (sqrt (* (/ d l) (neg d))) (* D (/ M d)))
9.0ms
l
@-inf
((* (* (+ (* (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ M d) D)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ M d) D)) 1) (sqrt (/ d l))) (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ h l) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg (sqrt (/ d l))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (neg h) -1/2) (/ d (sqrt (neg l)))) (pow (neg h) -1/2) (neg h) (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (* (/ h l) -1/2) (sqrt (/ d h)) (* (/ M d) D) (/ d (sqrt (neg l))) (sqrt (* (/ d l) (neg d))) (* D (/ M d)))
7.0ms
d
@-inf
((* (* (+ (* (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ M d) D)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ M d) D)) 1) (sqrt (/ d l))) (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ h l) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg (sqrt (/ d l))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (neg h) -1/2) (/ d (sqrt (neg l)))) (pow (neg h) -1/2) (neg h) (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (* (/ h l) -1/2) (sqrt (/ d h)) (* (/ M d) D) (/ d (sqrt (neg l))) (sqrt (* (/ d l) (neg d))) (* D (/ M d)))
7.0ms
M
@0
((* (* (+ (* (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ M d) D)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ M d) D)) 1) (sqrt (/ d l))) (* (* (/ h l) -1/8) (* (/ M d) D)) (* (/ h l) -1/8) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg (sqrt (/ d l))) (sqrt (/ d l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (neg h) -1/2) (/ d (sqrt (neg l)))) (pow (neg h) -1/2) (neg h) (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (* (/ h l) -1/2) (sqrt (/ d h)) (* (/ M d) D) (/ d (sqrt (neg l))) (sqrt (* (/ d l) (neg d))) (* D (/ M d)))

simplify290.0ms (1.6%)

Memory
10.3MiB live, 288.5MiB allocated
Algorithm
egg-herbie
Rules
9 034×lower-*.f64
9 034×lower-*.f32
6 024×lower-fma.f64
6 024×lower-fma.f32
3 404×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029716748
187216357
2311816280
3697016199
0888515818
Stop Event
iter limit
node limit
Counts
996 → 996
Calls
Call 1
Inputs
(* d (sqrt (/ 1 (* h l))))
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(/ (+ (* -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)
(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)))))))
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(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
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(/ (+ (* -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)
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(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
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(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
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1
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(/ (+ (* -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)
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
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(* -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)))))))))
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(* -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)))))))))
(fabs (* d (sqrt (/ 1 (* h l)))))
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(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3)))))
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(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) (* h (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))) (* (/ (* d (sqrt -1)) (pow D 2)) (sqrt (/ 1 l)))))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* -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))
(* -1/8 (/ (* D (* M h)) (* d l)))
(* -1/8 (/ (* D (* M h)) (* d l)))
(* -1/8 (/ (* D (* M h)) (* d l)))
(* -1/8 (/ (* D (* M h)) (* 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)
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* 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))))
(* -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)
(* -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))
(* -1 (sqrt (/ d l)))
(* -1 (sqrt (/ d l)))
(* -1 (sqrt (/ d l)))
(* -1 (sqrt (/ d l)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ 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))))
(* d (sqrt (/ 1 (* h l))))
(* d (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)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 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)
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) d) (sqrt (/ 1 (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (sqrt (/ 1 (pow l 3))))) (* (* (pow d 2) (sqrt -1)) (sqrt (/ 1 l)))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (sqrt (/ 1 (pow l 3))))) (* (* (pow d 2) (sqrt -1)) (sqrt (/ 1 l)))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (sqrt (/ 1 (pow l 3))))) (* (* (pow d 2) (sqrt -1)) (sqrt (/ 1 l)))) d)
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) 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)))))))
(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))))))))
(* -1/8 (/ (* D (* M h)) (* d l)))
(* -1/8 (/ (* D (* M h)) (* d l)))
(* -1/8 (/ (* D (* M h)) (* d l)))
(* -1/8 (/ (* D (* M h)) (* d l)))
(* 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)))))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* 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))) (* -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)))))))
(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)))
(* -1 (sqrt (/ d l)))
(* -1 (sqrt (/ d l)))
(* -1 (sqrt (/ d l)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* 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)))))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 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)))))))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1))))
(* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1))))
(* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1))))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(* (* d (sqrt -1)) (sqrt (/ 1 l)))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(* -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)))))
(* -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 (/ (* D (* M h)) (* d l)))
(* -1/8 (/ (* D (* M h)) (* d l)))
(* -1/8 (/ (* D (* M h)) (* d l)))
(* -1/8 (/ (* D (* M h)) (* d l)))
(* -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)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* d (sqrt (/ 1 (* h l)))))
(fabs (* 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))))
(* -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)))))
(* -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)))))
(* (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))
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(* -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 (* (* 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))))
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 (* 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))))))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1)))))
(* -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)))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
(/ (* D M) d)
Outputs
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d l)))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d l)))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d l)))
(* -1/8 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M D)) l) (/.f64 h d))
(* -1/8 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M D)) l) (/.f64 h d))
(* -1/8 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M D)) l) (/.f64 h d))
(* -1/8 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M D)) l) (/.f64 h d))
(* -1/8 (/ h l))
(*.f64 (/.f64 h l) #s(literal -1/8 binary64))
(* -1/8 (/ h l))
(*.f64 (/.f64 h l) #s(literal -1/8 binary64))
(* -1/8 (/ h l))
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(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -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)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64))) (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) d))) d)
(* -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)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64))) (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) d))) d)
(* -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)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64))) (pow.f64 l #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) d))) d)
(* (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 (* (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))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(*.f64 (neg.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1)))))
(*.f64 (neg.f64 d) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) h) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1)))))
(*.f64 (neg.f64 d) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) h) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (* h (sqrt -1)))) (pow d 2)) (sqrt (/ 1 (pow l 3))))) (* (sqrt (/ 1 l)) (sqrt -1)))))
(*.f64 (neg.f64 d) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) h) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 #s(literal -1 binary64)))))
(* -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))
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(*.f64 (/.f64 d (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(*.f64 (/.f64 d (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(*.f64 (/.f64 d (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* (/ d (sqrt -1)) (sqrt (/ 1 l)))
(*.f64 (/.f64 d (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(*.f64 (neg.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(*.f64 (neg.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(*.f64 (neg.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 l))))
(*.f64 (neg.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 #s(literal -1 binary64))))
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D M) d)
(/.f64 (*.f64 M D) d)
(/ (* D M) d)
(/.f64 (*.f64 M D) d)

rewrite200.0ms (1.1%)

Memory
1.8MiB live, 264.0MiB allocated
Rules
4 816×lower-*.f32
4 790×lower-*.f64
4 638×lower-/.f32
4 624×lower-/.f64
2 818×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073344
0112325
1331317
22082303
08412294
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 135
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D))
(*.f64 (/.f64 h l) #s(literal -1/8 binary64))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 d (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 l h))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))
(neg.f64 (sqrt.f64 (/.f64 d l)))
(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 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l)))))
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l))))
(pow.f64 (neg.f64 h) #s(literal -1/2 binary64))
(neg.f64 h)
(fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))))
(*.f64 (/.f64 h l) #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 d h))
(*.f64 (/.f64 M d) D)
(/.f64 d (sqrt.f64 (neg.f64 l)))
(sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))
(*.f64 D (/.f64 M d))
Outputs
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eval708.0ms (4%)

Memory
-130.7MiB live, 714.4MiB allocated
Compiler

Compiled 59 751 to 4 365 computations (92.7% saved)

prune175.0ms (1%)

Memory
-40.8MiB live, 401.5MiB allocated
Pruning

69 alts after pruning (63 fresh and 6 done)

PrunedKeptTotal
New2 335312 366
Fresh133245
Picked235
Done134
Total2 351692 420
Accuracy
94.9%
Counts
2 420 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.8%
(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
33.1%
(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
37.9%
(fma.f64 h (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) (/.f64 d (sqrt.f64 (*.f64 l h))))
27.4%
(/.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D (/.f64 M d)) #s(literal -1/8 binary64)) (*.f64 D (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
26.1%
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 d) d))) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 h)))
27.9%
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
5.3%
(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 h))
18.1%
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
5.3%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))))))
65.7%
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d l)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
66.9%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
67.4%
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (*.f64 D M) d)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
33.4%
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
41.0%
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 (/.f64 d h)))
33.5%
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 d h)))
42.6%
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
67.7%
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
63.6%
(*.f64 (*.f64 (fma.f64 #s(approx (* (* (/ h l) -1/8) (* (/ M d) D)) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M D)) l) (/.f64 h d))) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
66.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (*.f64 (*.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) D)))))
36.1%
(*.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 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
36.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
40.1%
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
4.2%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 d l)) (+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))))) (sqrt.f64 (/.f64 d h)))
4.1%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 d h)))
4.2%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 0 binary64) (/.f64 d l))))) (sqrt.f64 (/.f64 d h)))
4.1%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 l))))) (sqrt.f64 (/.f64 d h)))
33.6%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
5.1%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) (sqrt.f64 (/.f64 d h)))
10.7%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d h)))
4.1%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 d h)))
5.1%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal -1/2 binary64))))) (sqrt.f64 (/.f64 d h)))
4.8%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
5.3%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
11.1%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
11.1%
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 d h)))
23.1%
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
60.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
55.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
49.6%
#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 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) D) (/.f64 D d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
53.4%
#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 M (*.f64 (*.f64 #s(literal -1/8 binary64) M) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
4.8%
#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 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
23.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
21.6%
#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 (*.f64 (*.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (*.f64 D D)) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) 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 (/.f64 d h) d)) (sqrt.f64 l)))
35.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
17.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
24.3%
#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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
27.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))
26.7%
#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 l h)) 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 (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
4.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (neg.f64 l)))))
4.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) d))))
4.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (neg.f64 h))) (/.f64 d (sqrt.f64 (neg.f64 l)))))
24.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) M) d) (/.f64 M (pow.f64 D #s(literal -2 binary64)))) (sqrt.f64 l)) (/.f64 (sqrt.f64 h) (fabs.f64 l))))
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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
20.3%
#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 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D D) (sqrt.f64 h)) (*.f64 d (pow.f64 l #s(literal 3/2 binary64))))))
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 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 D D) d) (fabs.f64 l)) (/.f64 (sqrt.f64 h) (sqrt.f64 l)))))
23.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)))))
27.3%
#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 (pow.f64 l #s(literal -1 binary64)) h)) d))
27.3%
#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 #s(literal 1 binary64) (*.f64 l h))) d))
13.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h)))) (sqrt.f64 (sqrt.f64 d))))
60.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (/.f64 #s(literal -1 binary64) h)))
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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
4.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 h)) #s(literal -1/2 binary64))) (/.f64 d (sqrt.f64 (neg.f64 l)))))
4.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 #s(approx (log (* l h)) (+.f64 (log.f64 (neg.f64 h)) (log.f64 (neg.f64 l)))) #s(literal -1/2 binary64))) d))
28.1%
#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 l) h) d)))
20.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
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)))) (fabs.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 d))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l h))))))
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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Compiler

Compiled 4 288 to 1 743 computations (59.4% saved)

regimes271.0ms (1.5%)

Memory
42.7MiB live, 347.7MiB allocated
Counts
127 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 h))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
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(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) 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 #s(literal 1/4 binary64) D) (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) l) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 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 (exp.f64 (*.f64 (log.f64 (neg.f64 h)) #s(literal -1/2 binary64))) (/.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 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) 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 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (/.f64 #s(literal -1 binary64) h)))
(*.f64 (sqrt.f64 d) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 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 #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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D 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 (exp.f64 (*.f64 #s(approx (log (* l h)) (+.f64 (log.f64 (neg.f64 h)) (log.f64 (neg.f64 l)))) #s(literal -1/2 binary64))) d))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (*.f64 (*.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) 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 h l) #s(literal 1/2 binary64)) (*.f64 D M)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) (*.f64 D M)))))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h)) (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (neg.f64 h))) (/.f64 d (sqrt.f64 (neg.f64 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 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (*.f64 (*.f64 d (/.f64 #s(literal 2 binary64) M)) (/.f64 d 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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (pow.f64 h #s(literal -1 binary64))))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 d 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 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 h d) #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))))
(*.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) l) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 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 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
Calls

7 calls:

48.0ms
h
41.0ms
l
39.0ms
D
36.0ms
d
35.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
83.2%4d
78.7%2h
82.8%4l
69.0%1M
69.0%1D
76.5%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))))
69.0%1(*.f64 M D)
Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes48.0ms (0.3%)

Memory
-27.9MiB live, 62.6MiB allocated
Counts
124 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
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(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 d) d))) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) 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 #s(literal 1/4 binary64) D) (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) l) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 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 (exp.f64 (*.f64 (log.f64 (neg.f64 h)) #s(literal -1/2 binary64))) (/.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 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) 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 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (/.f64 #s(literal -1 binary64) h)))
(*.f64 (sqrt.f64 d) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 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 #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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D 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 (exp.f64 (*.f64 #s(approx (log (* l h)) (+.f64 (log.f64 (neg.f64 h)) (log.f64 (neg.f64 l)))) #s(literal -1/2 binary64))) d))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (*.f64 (*.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) 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 h l) #s(literal 1/2 binary64)) (*.f64 D M)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) (*.f64 D M)))))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h)) (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (neg.f64 h))) (/.f64 d (sqrt.f64 (neg.f64 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 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (*.f64 (*.f64 d (/.f64 #s(literal 2 binary64) M)) (/.f64 d 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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) (pow.f64 h #s(literal -1 binary64))))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 d h)))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) l) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 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 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
Calls

1 calls:

41.0ms
d
Results
AccuracySegmentsBranch
83.2%4d
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes85.0ms (0.5%)

Memory
-4.8MiB live, 112.5MiB allocated
Counts
118 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 h))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 l))))) (sqrt.f64 (/.f64 d h)))
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(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) 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 #s(literal 1/4 binary64) D) (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) l) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 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 (exp.f64 (*.f64 (log.f64 (neg.f64 h)) #s(literal -1/2 binary64))) (/.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 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) 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 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (/.f64 #s(literal -1 binary64) h)))
(*.f64 (sqrt.f64 d) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (pow.f64 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 #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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D 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 (exp.f64 (*.f64 #s(approx (log (* l h)) (+.f64 (log.f64 (neg.f64 h)) (log.f64 (neg.f64 l)))) #s(literal -1/2 binary64))) d))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l) (*.f64 (*.f64 (/.f64 M d) h) (*.f64 #s(literal 1/4 binary64) 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 h l) #s(literal 1/2 binary64)) (*.f64 D M)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) (*.f64 D M)))))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h)) (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (neg.f64 h))) (/.f64 d (sqrt.f64 (neg.f64 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 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (*.f64 (*.f64 d (/.f64 #s(literal 2 binary64) M)) (/.f64 d D)))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) l) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 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 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
Calls

2 calls:

39.0ms
d
36.0ms
l
Results
AccuracySegmentsBranch
80.7%3l
81.0%3d
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes112.0ms (0.6%)

Memory
3.4MiB live, 114.9MiB allocated
Counts
101 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.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 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 #s(approx (* (* (/ h l) -1/8) (* (/ M d) D)) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M D)) l) (/.f64 h d))) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (*.f64 D M) d)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
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(/.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D (/.f64 M d)) #s(literal -1/8 binary64)) (*.f64 D (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
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(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (/.f64 (/.f64 h l) (sqrt.f64 (/.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
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(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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 (pow.f64 l #s(literal -1 binary64)) 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 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.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 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 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 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 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 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.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 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) d))))
(fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal -1/2 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D D) (sqrt.f64 h)) (*.f64 d (pow.f64 l #s(literal 3/2 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 (*.f64 (*.f64 (*.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (*.f64 D D)) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 l 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 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) M) d) (/.f64 M (pow.f64 D #s(literal -2 binary64)))) (sqrt.f64 l)) (/.f64 (sqrt.f64 h) (fabs.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 (fma.f64 M (*.f64 (*.f64 #s(literal -1/8 binary64) M) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 h l)) 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)))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
(*.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.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 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) D) (/.f64 D d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(fma.f64 h (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) (/.f64 d (sqrt.f64 (*.f64 l h))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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 (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 d) d))) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) 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 #s(literal 1/4 binary64) D) (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) l) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 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 (exp.f64 (*.f64 (log.f64 (neg.f64 h)) #s(literal -1/2 binary64))) (/.f64 d (sqrt.f64 (neg.f64 l)))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 (neg.f64 M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) l) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) h #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 (/.f64 d h)))
Calls

2 calls:

69.0ms
l
29.0ms
d
Results
AccuracySegmentsBranch
80.7%3l
79.8%3d
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes197.0ms (1.1%)

Memory
10.0MiB live, 129.0MiB allocated
Counts
99 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
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(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(fma.f64 h (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) (/.f64 d (sqrt.f64 (*.f64 l h))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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 (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 d) d))) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))))
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) 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 #s(literal 1/4 binary64) D) (*.f64 (*.f64 (/.f64 M d) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) l)))))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 (/.f64 d h)))
Calls

3 calls:

89.0ms
h
59.0ms
l
43.0ms
d
Results
AccuracySegmentsBranch
78.6%3d
76.9%2h
81.0%4l
Compiler

Compiled 3 to 15 computations (-400% saved)

regimes95.0ms (0.5%)

Memory
-8.0MiB live, 111.2MiB allocated
Counts
95 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
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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)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.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 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
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(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 D D) d) (fabs.f64 l)) (/.f64 (sqrt.f64 h) (sqrt.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)))) (fabs.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 d))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l 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 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
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(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
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(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D (/.f64 M d)) #s(literal -1/8 binary64)) (*.f64 D (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (/.f64 (/.f64 h l) (sqrt.f64 (/.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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 (pow.f64 l #s(literal -1 binary64)) 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 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.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 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 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 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 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 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.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 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) d))))
(fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal -1/2 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D D) (sqrt.f64 h)) (*.f64 d (pow.f64 l #s(literal 3/2 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 (*.f64 (*.f64 (*.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (*.f64 D D)) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 l 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 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) M) d) (/.f64 M (pow.f64 D #s(literal -2 binary64)))) (sqrt.f64 l)) (/.f64 (sqrt.f64 h) (fabs.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 (fma.f64 M (*.f64 (*.f64 #s(literal -1/8 binary64) M) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 h l)) 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)))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
(*.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.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 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) D) (/.f64 D d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(fma.f64 h (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) (/.f64 d (sqrt.f64 (*.f64 l h))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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 (pow.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) d))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 d) d))) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (neg.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 (/.f64 d h)))
Calls

2 calls:

46.0ms
l
37.0ms
d
Results
AccuracySegmentsBranch
77.7%3d
78.6%3l
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes84.0ms (0.5%)

Memory
20.8MiB live, 97.8MiB allocated
Counts
87 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 h))
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(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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 (pow.f64 l #s(literal -1 binary64)) 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 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.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 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 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 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 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 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.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 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) d))))
(fma.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal -1/2 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 D D) (sqrt.f64 h)) (*.f64 d (pow.f64 l #s(literal 3/2 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 (*.f64 (*.f64 (*.f64 (pow.f64 l #s(literal -3/2 binary64)) (sqrt.f64 h)) (*.f64 D D)) (*.f64 #s(literal -1/8 binary64) (*.f64 M M))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 l 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 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) M) d) (/.f64 M (pow.f64 D #s(literal -2 binary64)))) (sqrt.f64 l)) (/.f64 (sqrt.f64 h) (fabs.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 (fma.f64 M (*.f64 (*.f64 #s(literal -1/8 binary64) M) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 h l)) 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)))) (fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
(*.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.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 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) D) (/.f64 D d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(fma.f64 h (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) (/.f64 d (sqrt.f64 (*.f64 l h))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d)))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 (/.f64 d h)))
Calls

2 calls:

49.0ms
h
29.0ms
l
Results
AccuracySegmentsBranch
76.0%2h
78.5%3l
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes62.0ms (0.3%)

Memory
1.4MiB live, 45.9MiB allocated
Counts
51 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 h))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 d l)) (+.f64 #s(literal 0 binary64) (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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 D D) d) (fabs.f64 l)) (/.f64 (sqrt.f64 h) (sqrt.f64 l)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 0 binary64) (/.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)))) (fabs.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 d))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) d)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h)))) (sqrt.f64 (sqrt.f64 d))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d l)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 #s(approx (* (* (/ h l) -1/8) (* (/ M d) D)) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M D)) l) (/.f64 h d))) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (*.f64 D M) d)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (fma.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D (/.f64 M d)) #s(literal -1/8 binary64)) (*.f64 D (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (sqrt.f64 (neg.f64 h)))
(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
(fma.f64 (/.f64 h l) #s(approx (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (/.f64 (/.f64 h l) (sqrt.f64 (/.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (sqrt.f64 (/.f64 d h)))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (*.f64 D M) d)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

2 calls:

45.0ms
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
76.2%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))))
77.7%4l
Compiler

Compiled 36 to 27 computations (25% saved)

regimes36.0ms (0.2%)

Memory
-13.7MiB live, 21.4MiB allocated
Counts
43 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 h))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 d l)) (+.f64 #s(literal 0 binary64) (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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 D D) d) (fabs.f64 l)) (/.f64 (sqrt.f64 h) (sqrt.f64 l)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 0 binary64) (/.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)))) (fabs.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 d))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) d)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h)))) (sqrt.f64 (sqrt.f64 d))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d l)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 #s(approx (* (* (/ h l) -1/8) (* (/ M d) D)) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M D)) l) (/.f64 h d))) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

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
76.2%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 35 to 22 computations (37.1% saved)

regimes13.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
42 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 h))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 d l)) (+.f64 #s(literal 0 binary64) (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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 D D) d) (fabs.f64 l)) (/.f64 (sqrt.f64 h) (sqrt.f64 l)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 0 binary64) (/.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)))) (fabs.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 d))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) d)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h)))) (sqrt.f64 (sqrt.f64 d))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d l)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 #s(approx (* (* (/ h l) -1/8) (* (/ M d) D)) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M D)) l) (/.f64 h d))) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 M (/.f64 D d)) #s(literal 1 binary64)) (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

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
76.1%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 35 to 22 computations (37.1% saved)

regimes73.0ms (0.4%)

Memory
-3.8MiB live, 71.8MiB 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 h))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 d l)) (+.f64 #s(literal 0 binary64) (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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 D D) d) (fabs.f64 l)) (/.f64 (sqrt.f64 h) (sqrt.f64 l)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 0 binary64) (/.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)))) (fabs.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 d))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) d)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h)))) (sqrt.f64 (sqrt.f64 d))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d l)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (*.f64 (fma.f64 #s(approx (* (* (/ h l) -1/8) (* (/ M d) D)) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M D)) l) (/.f64 h d))) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
Outputs
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d l)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(*.f64 (*.f64 (fma.f64 #s(approx (* (* (/ h l) -1/8) (* (/ M d) D)) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M D)) l) (/.f64 h d))) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

4 calls:

24.0ms
(*.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))))
22.0ms
l
12.0ms
d
12.0ms
h
Results
AccuracySegmentsBranch
70.0%3l
69.3%3h
71.7%4d
77.6%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 38 to 37 computations (2.6% saved)

regimes13.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 h))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 d l)) (+.f64 #s(literal 0 binary64) (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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 D D) d) (fabs.f64 l)) (/.f64 (sqrt.f64 h) (sqrt.f64 l)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 0 binary64) (/.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)))) (fabs.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 d))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) d)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h)))) (sqrt.f64 (sqrt.f64 d))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d l)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 #s(approx (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
Outputs
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d l)) (*.f64 (/.f64 M d) D) #s(literal 1 binary64)) (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

10.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
77.3%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 35 to 22 computations (37.1% saved)

regimes131.0ms (0.7%)

Memory
-18.6MiB live, 108.5MiB allocated
Counts
36 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 h))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 d l)) (+.f64 #s(literal 0 binary64) (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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 D D) d) (fabs.f64 l)) (/.f64 (sqrt.f64 h) (sqrt.f64 l)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 0 binary64) (/.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)))) (fabs.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 d))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) d)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h)))) (sqrt.f64 (sqrt.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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (sqrt.f64 (/.f64 h l)) (fabs.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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

7 calls:

39.0ms
M
24.0ms
l
10.0ms
d
10.0ms
D
10.0ms
h
Results
AccuracySegmentsBranch
50.8%4h
54.3%4l
49.6%3d
49.8%3D
50.4%2M
54.0%4(*.f64 M D)
61.3%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 43 to 53 computations (-23.3% saved)

regimes19.0ms (0.1%)

Memory
-21.6MiB live, 16.5MiB allocated
Counts
28 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 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)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (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)))) (fabs.f64 (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 h)))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.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 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (sqrt.f64 d) #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 h))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) (sqrt.f64 (/.f64 d h)))
(*.f64 #s(approx (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 l))))) (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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

17.0ms
(*.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
55.6%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 35 to 22 computations (37.1% saved)

regimes6.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
14 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 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 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

5.0ms
(*.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
54.4%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 35 to 22 computations (37.1% saved)

regimes40.0ms (0.2%)

Memory
2.6MiB live, 50.2MiB allocated
Counts
11 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l h)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* (* (* M M) -1/8) (/ (* D D) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

7 calls:

15.0ms
M
4.0ms
h
4.0ms
D
4.0ms
d
4.0ms
l
Results
AccuracySegmentsBranch
42.6%2h
43.6%3d
43.6%4D
41.1%2M
43.2%3(*.f64 M D)
43.8%2l
48.1%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 43 to 53 computations (-23.3% saved)

regimes5.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
10 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 (/.f64 d l) 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 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

1 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))))
Results
AccuracySegmentsBranch
47.8%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 35 to 22 computations (37.1% saved)

regimes21.0ms (0.1%)

Memory
-25.8MiB live, 13.3MiB 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

2 calls:

17.0ms
l
3.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
43.8%2l
42.9%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))))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes7.0ms (0%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (+ (* (/ h l) (* (* -1/2 (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (/ (* (+ (* (* (/ h l) -1/2) (* 1/4 (pow (* D (/ M d)) 2))) 1) (sqrt (* (/ d l) (neg d)))) (sqrt (neg h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

2 calls:

3.0ms
l
3.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
42.9%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))))
40.2%2l
Compiler

Compiled 36 to 27 computations (25% saved)

regimes5.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
4 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

2 calls:

2.0ms
(*.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))))
2.0ms
h
Results
AccuracySegmentsBranch
37.8%1h
42.2%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 36 to 27 computations (25% saved)

regimes4.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
2 → 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l 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 d (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

2 calls:

2.0ms
d
2.0ms
(*.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
37.8%1d
41.8%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes31.0ms (0.2%)

Memory
-16.8MiB live, 22.5MiB 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 l 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 d (sqrt.f64 (*.f64 l h))))
Calls

7 calls:

22.0ms
D
1.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms
l
1.0ms
h
1.0ms
d
Results
AccuracySegmentsBranch
27.0%1h
27.0%1d
27.0%1l
27.0%1D
27.0%1M
27.0%1(*.f64 M D)
27.0%1(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch197.0ms (1.1%)

Memory
11.9MiB live, 168.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
34.0ms
4.516673384103969e-183
1.1314704999928049e-181
57.0ms
-1.7892247762117675e-171
-2.678691540186311e-175
61.0ms
-5.467266117442845e+120
-4.9727443299384714e+117
Samples
68.0ms343×0invalid
57.0ms368×0valid
Compiler

Compiled 1 585 to 1 245 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-div: 47.0ms (47.4% of total)
ival-mult: 26.0ms (26.2% of total)
ival-pow: 15.0ms (15.1% of total)
ival-pow2: 7.0ms (7.1% of total)
ival-sub: 3.0ms (3% of total)
ival-true: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.516673384103969e-183
1.1314704999928049e-181
2.0ms
-1.7892247762117675e-171
-2.678691540186311e-175
8.0ms
-5.467266117442845e+120
-4.9727443299384714e+117
Samples
2.0ms16×0valid
2.0ms20×0invalid
Compiler

Compiled 1 553 to 1 229 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (28.1% of total)
ival-mult: 1.0ms (28.1% of total)
ival-pow: 1.0ms (28.1% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-pow2: 0.0ms (0% of total)

bsearch53.0ms (0.3%)

Memory
-35.1MiB live, 51.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.516673384103969e-183
1.1314704999928049e-181
46.0ms
-1.7892247762117675e-171
-2.678691540186311e-175
Samples
23.0ms96×0valid
12.0ms104×0invalid
Compiler

Compiled 897 to 717 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 7.0ms (34.3% of total)
ival-mult: 6.0ms (29.4% of total)
ival-pow: 4.0ms (19.6% of total)
ival-pow2: 2.0ms (9.8% of total)
ival-sub: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch161.0ms (0.9%)

Memory
11.4MiB live, 199.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
41.0ms
3.752757777537676e+170
3.429660303417084e+171
107.0ms
-5.611092677750282e-304
2.5507511734102505e-306
Samples
90.0ms240×0valid
35.0ms245×0invalid
Compiler

Compiled 980 to 741 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-pow: 41.0ms (50.7% of total)
ival-div: 16.0ms (19.8% of total)
ival-mult: 15.0ms (18.5% of total)
ival-pow2: 5.0ms (6.2% of total)
ival-sub: 2.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch132.0ms (0.7%)

Memory
25.5MiB live, 186.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.752757777537676e+170
3.429660303417084e+171
58.0ms
-4.3102551212205223e-302
-5.611092677750282e-304
62.0ms
-1.427070999530508e+164
-2.221199454127145e+163
Samples
62.0ms208×0valid
42.0ms246×0invalid
Compiler

Compiled 1 158 to 911 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 41.0ms (51.5% of total)
ival-div: 18.0ms (22.6% of total)
ival-pow: 13.0ms (16.3% of total)
ival-pow2: 4.0ms (5% of total)
ival-sub: 2.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0%)

Memory
-28.0MiB live, 9.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
3.0ms
3.752757777537676e+170
3.429660303417084e+171
2.0ms
-5.611092677750282e-304
2.5507511734102505e-306
Compiler

Compiled 935 to 687 computations (26.5% saved)

bsearch4.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.752757777537676e+170
3.429660303417084e+171
2.0ms
-5.611092677750282e-304
2.5507511734102505e-306
Compiler

Compiled 926 to 678 computations (26.8% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.22136790669193e+157
7.243395073384964e+160
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.22136790669193e+157
7.243395073384964e+160
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.22136790669193e+157
7.243395073384964e+160
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.22136790669193e+157
7.243395073384964e+160
0.0ms
8.027997199535463e-248
7.293649075337707e-247
0.0ms
-4.6230567751672655e-172
0.0
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.22136790669193e+157
7.243395073384964e+160
0.0ms
8.027997199535463e-248
7.293649075337707e-247
0.0ms
-4.6230567751672655e-172
0.0
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.22136790669193e+157
7.243395073384964e+160
0.0ms
8.027997199535463e-248
7.293649075337707e-247
0.0ms
-4.6230567751672655e-172
0.0
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.22136790669193e+157
7.243395073384964e+160
0.0ms
8.027997199535463e-248
7.293649075337707e-247
0.0ms
-4.6230567751672655e-172
0.0
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.682191770166239e+195
1.5660482906725918e+200
0.0ms
8.027997199535463e-248
7.293649075337707e-247
0.0ms
-4.6230567751672655e-172
0.0
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.682191770166239e+195
1.5660482906725918e+200
0.0ms
8.027997199535463e-248
7.293649075337707e-247
0.0ms
-8.793792632436593e+51
-3.71426441864315e+21
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0978796903045623e+97
4.077951889681803e+98
0.0ms
1.4065150097890568e-200
7.556852056579334e-190
0.0ms
-8.793792632436593e+51
-3.71426441864315e+21
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch59.0ms (0.3%)

Memory
-2.3MiB live, 120.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
53.0ms
3.82663428695501e-246
4.2495683650982265e-243
Samples
23.0ms145×0invalid
21.0ms128×0valid
Compiler

Compiled 182 to 222 computations (-22% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 9.0ms (28.9% of total)
ival-mult: 8.0ms (25.7% of total)
ival-pow: 8.0ms (25.7% of total)
ival-pow2: 3.0ms (9.6% of total)
ival-sub: 2.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8.793792632436593e+51
-3.71426441864315e+21
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.6999573478527026e-160
-4.6230567751672655e-172
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.6999573478527026e-160
-4.6230567751672655e-172
Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify90.0ms (0.5%)

Memory
-59.0MiB live, 129.8MiB allocated
Algorithm
egg-herbie
Rules
202×*-commutative-binary64-*.f64
68×sub-neg-binary64-neg.f64-+.f64--.f64
66×neg-sub0-binary64--.f64-neg.f64
66×+-commutative-binary64-+.f64
66×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02693617
13683617
24203617
34723617
45213617
55643617
65913617
76013617
86053617
96063617
Stop Event
saturated
Calls
Call 1
Inputs
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(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 -1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))
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Outputs
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(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #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))))) #s(literal -1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h))))

soundness2.3s (13%)

Memory
34.7MiB live, 1 582.6MiB allocated
Rules
9 034×lower-*.f64
9 034×lower-*.f32
8 078×lower-*.f64
8 078×lower-*.f32
7 446×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022117517
165616920
2233316779
3528816552
0879116234
029716748
187216357
2311816280
3697016199
0888515818
073344
0112325
1331317
22082303
08412294
01473819
14133735
214983698
341763682
479503682
081723598
089397
0152383
1458352
23211332
011083326
067352
0104326
1315318
21846306
08225299
02272
03868
112467
282867
0873065
Stop Event
fuel
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
iter limit
node limit
iter limit
node limit
Compiler

Compiled 6 619 to 2 229 computations (66.3% saved)

preprocess169.0ms (0.9%)

Memory
-1.2MiB live, 468.4MiB allocated
Remove

(sort M D)

(abs M)

(abs D)

Compiler

Compiled 5 632 to 976 computations (82.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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