Henrywood and Agarwal, Equation (12)

Time bar (total: 22.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze464.0ms (2.1%)

Memory
-9.6MiB live, 667.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
12.5%12.5%87.3%0.2%0%0%0%4
12.5%12.5%87.3%0.2%0%0%0%5
12.5%12.5%87.3%0.2%0%0%0%6
15.4%12.5%68.6%0.2%0%18.7%0%7
16.7%12.5%62.3%0.2%0%24.9%0%8
20%14%56.1%0.2%0%29.6%0%9
20%14%56.1%0.2%0%29.6%0%10
20%14%56.1%0.2%0%29.6%0%11
22.9%14.8%49.9%0.2%0%35.1%0%12
Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.9s (26.1%)

Memory
45.0MiB live, 6 637.3MiB allocated
Samples
2.4s13 422×0invalid
1.8s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-mult: 1.2s (35.2% of total)
ival-div: 967.0ms (29.5% of total)
ival-pow: 644.0ms (19.7% of total)
ival-pow2: 270.0ms (8.2% of total)
ival-sub: 196.0ms (6% of total)
exact: 22.0ms (0.7% of total)
ival-true: 18.0ms (0.5% of total)
ival-assert: 8.0ms (0.2% of total)
Bogosity

explain657.0ms (2.9%)

Memory
16.0MiB live, 465.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
720-1(-2.829992962687004e-296 -5.8550513201203144e-133 -8.592894633026359e+27 -4.836717477476415e-20 -6.840404347572618e-235)(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
690-2(6.305517118458593e-212 3.882224359996675e+102 1.724370207506358e-195 8.175333668464243e+26 -2.570588980085996e-20)(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
460-1(2.85534688608319e-87 6.497604120818072e-139 4.323972957021793e-286 5.5511611243493895e-143 3.8251381262516215e-100)(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
280-0-(*.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))))
190-2(1.215687692434064e-140 4.4470791352252955e-145 2.685856767337324e+300 -7.735953848830837e-278 -4.754003284322912e-36)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
00-0-D
00-0-(*.f64 #s(literal 2 binary64) d)
00-0-(/.f64 h l)
00-0-(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
00-0-d
00-0-#s(literal 1 binary64)
00-0-(/.f64 d l)
00-0-(*.f64 M D)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(/.f64 d h)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
00-0-#s(literal 2 binary64)
00-0-l
00-0-(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
00-0-M
00-0-h
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue390
↳(/.f64 d l)underflow39
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue370
↳(/.f64 d h)underflow37
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue320
↳(/.f64 d l)overflow32
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue300
↳(/.f64 d h)overflow30
*.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*o150
↳(/.f64 d h)underflow37
↳(/.f64 d l)underflow39
↳(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))underflow21
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow90
↳(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))overflow90
↳(/.f64 h l)overflow30
↳(-.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)))overflow82
↳(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))overflow82
↳(*.f64 M D)overflow27
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow43
*.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*o130
*.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*o120
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n100
↳(*.f64 M D)overflow27
*.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))overflow90
↳(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))overflow90
↳(*.f64 M D)overflow27
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow43
↳(/.f64 h l)underflow30
*.f64(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))n*u10
*.f64(*.f64 (*.f64 (/.f64 #s(literal 1 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*o10
↳(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow80
↳(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))underflow80
↳(*.f64 M D)underflow31
↳(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow42
↳(/.f64 h l)overflow30
Confusion
Predicted +Predicted -
+948
-32122
Precision
0.746031746031746
Recall
0.9215686274509803
Confusion?
Predicted +Predicted MaybePredicted -
+9408
-320122
Precision?
0.746031746031746
Recall?
0.9215686274509803
Freqs
test
numberfreq
0130
175
233
317
41
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
220.0ms512×0valid
Compiler

Compiled 352 to 70 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-div: 139.0ms (75.4% of total)
ival-pow: 20.0ms (10.8% of total)
ival-mult: 17.0ms (9.2% of total)
ival-pow2: 5.0ms (2.7% of total)
ival-sub: 2.0ms (1.1% of total)
ival-true: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess287.0ms (1.3%)

Memory
-53.6MiB live, 377.7MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64))))
Symmetry

(abs D)

(abs M)

(sort M D)

Compiler

Compiled 40 to 22 computations (45% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 40 to 22 computations (45% saved)

simplify246.0ms (1.1%)

Memory
-2.2MiB live, 384.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize89.0ms (0.4%)

Memory
12.1MiB live, 167.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy6.835824201638577
(*.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))))
accuracy10.598479571339487
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
accuracy16.065278012569497
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy17.04136192626246
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Samples
51.0ms256×0valid
Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 10.0ms (30.5% of total)
ival-pow: 10.0ms (30.5% of total)
ival-div: 9.0ms (27.4% of total)
ival-pow2: 2.0ms (6.1% 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)

series58.0ms (0.3%)

Memory
23.7MiB live, 133.3MiB allocated
Counts
6 → 204
Calls
Call 1
Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #<representation binary64>) () ())
Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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Calls

51 calls:

TimeVariablePointExpression
8.0ms
D
@0
(pow (/ (* M D) (* 2 d)) 2)
6.0ms
l
@inf
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
2.0ms
h
@0
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
2.0ms
M
@0
(pow (/ (* M D) (* 2 d)) 2)
1.0ms
l
@0
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))

simplify275.0ms (1.2%)

Memory
-40.1MiB live, 500.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 660×lower-fma.f64
6 660×lower-fma.f32
5 620×lower-*.f64
5 620×lower-*.f32
3 426×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite317.0ms (1.4%)

Memory
31.2MiB live, 536.7MiB 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
02264
03860
112459
282859
0872658
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 603
Calls
Call 1
Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 d d) h) h)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 h (neg.f64 d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
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(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))

eval112.0ms (0.5%)

Memory
6.3MiB live, 206.1MiB allocated
Compiler

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

prune156.0ms (0.7%)

Memory
10.1MiB live, 328.2MiB allocated
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New77435809
Fresh000
Picked101
Done000
Total77535810
Accuracy
87.7%
Counts
810 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.4%
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
▶20.8%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
32.3%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
22.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
29.9%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
46.3%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
47.3%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
28.7%
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
55.4%
(*.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 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1/4 binary64)) d) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
63.4%
(*.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 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (*.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D))))))
53.0%
(*.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 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))
▶65.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
50.1%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h l))))
63.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
58.0%
(*.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)) (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))) (/.f64 h l))))
61.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 2 binary64) (*.f64 M D))))) (/.f64 h l))))
59.1%
(*.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 1/2 binary64) (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
40.0%
(*.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))) (*.f64 d (*.f64 d l))))))
31.8%
(*.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))))
▶36.6%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
61.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
30.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
40.7%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
16.3%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
29.9%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
46.7%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
32.7%
#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 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
25.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
▶31.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
15.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
15.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
22.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
27.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))))
3.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d)))))
▶32.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
Compiler

Compiled 2 688 to 1 610 computations (40.1% saved)

simplify249.0ms (1.1%)

Memory
-33.8MiB live, 380.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff384
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff4800
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
cost-diff0
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
cost-diff384
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (/.f64 h l))
cost-diff0
(fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))))
cost-diff0
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)
cost-diff0
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 h l))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
cost-diff0
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
cost-diff0
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff1088
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff5824
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Rules
9 860×lower-*.f32
9 800×lower-*.f64
1 944×lower-/.f32
1 914×lower-/.f64
1 742×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092787
0160758
1305732
2879694
35589694
08252684
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.f64 h l)
h
l
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)
(fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))))
d
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
h
l
(*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))
(*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d))
D
(/.f64 (*.f64 D (*.f64 M M)) d)
(*.f64 D (*.f64 M M))
(*.f64 M M)
M
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))
(*.f64 h (*.f64 h h))
(*.f64 h h)
(*.f64 l (*.f64 l l))
(*.f64 l l)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 M (*.f64 D (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
D
(*.f64 M D)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
#s(literal 4 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
#s(literal -1/2 binary64)
(/.f64 h l)
h
#s(literal 1 binary64)
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 h))
(neg.f64 h)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 d)
(sqrt.f64 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 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l)) (*.f64 M (*.f64 D h))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d)
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.f64 h l)
h
l
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 D (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))))) h))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 D (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))))) h)
(fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))))
(fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 D (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64)))))
d
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
h
l
(*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))
(*.f64 D (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))))
(*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 M D))) d)
D
(/.f64 (*.f64 D (*.f64 M M)) d)
(/.f64 (*.f64 M (*.f64 M D)) d)
(*.f64 D (*.f64 M M))
(*.f64 M (*.f64 M D))
(*.f64 M M)
M
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
#s(literal -1/8 binary64)
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))
(*.f64 h (*.f64 h h))
(*.f64 h h)
(*.f64 l (*.f64 l l))
(*.f64 l l)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (fma.f64 M (*.f64 (*.f64 M (*.f64 D D)) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
(*.f64 (fma.f64 M (*.f64 (*.f64 M (*.f64 D D)) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 d))))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 M (*.f64 (*.f64 M (*.f64 D D)) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 M (*.f64 (*.f64 M (*.f64 D D)) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) #s(literal 1 binary64))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d (*.f64 d #s(literal 4 binary64))))
(*.f64 M (*.f64 D (*.f64 M D)))
(*.f64 D (*.f64 M (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
(*.f64 M (*.f64 D D))
D
(*.f64 M D)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d (*.f64 d #s(literal 4 binary64)))
(*.f64 d d)
#s(literal 4 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 h l))
(*.f64 (/.f64 h l) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 h l)
h
#s(literal 1 binary64)
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 h))
(neg.f64 h)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)))) (sqrt.f64 l))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (sqrt.f64 l))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 d)
(sqrt.f64 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 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l)) (/.f64 (*.f64 M (*.f64 D h)) (*.f64 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 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l)) (*.f64 M (*.f64 D h))) (*.f64 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 (/.f64 D (*.f64 d #s(literal 2 binary64))) (*.f64 M (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d)))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d #s(literal 2 binary64))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 h l)

localize308.0ms (1.4%)

Memory
-7.3MiB live, 470.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 M D)
accuracy0
(*.f64 #s(literal 2 binary64) d)
accuracy0
(sqrt.f64 l)
accuracy0
(sqrt.f64 d)
accuracy0
(sqrt.f64 (neg.f64 h))
accuracy0
(sqrt.f64 (neg.f64 d))
accuracy0
(neg.f64 h)
accuracy0
(neg.f64 d)
accuracy0
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
accuracy0
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
accuracy0
(sqrt.f64 (/.f64 h l))
accuracy0
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
accuracy0
(*.f64 h l)
accuracy0
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
accuracy0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
accuracy0
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
accuracy0
(*.f64 d #s(literal 2 binary64))
accuracy0
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
accuracy0
(*.f64 M D)
accuracy0
(*.f64 D #s(literal 1/2 binary64))
Samples
167.0ms256×0invalid
Compiler

Compiled 795 to 80 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-mult: 46.0ms (36.3% of total)
ival-sqrt: 34.0ms (26.8% of total)
ival-div: 26.0ms (20.5% of total)
ival-pow: 11.0ms (8.7% of total)
ival-pow2: 3.0ms (2.4% of total)
ival-add: 2.0ms (1.6% of total)
ival-sub: 2.0ms (1.6% of total)
ival-neg: 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)

series146.0ms (0.7%)

Memory
33.2MiB live, 302.1MiB allocated
Counts
32 → 1 008
Calls
Call 1
Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #<representation binary64>) () ())
#s(alt (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (patch (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (*.f64 h l)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h) (patch (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h) #<representation binary64>) () ())
#s(alt (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) (patch (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (patch (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (*.f64 D #s(literal 1/2 binary64)) (patch (*.f64 D #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 M D) (patch (*.f64 M D) #<representation binary64>) () ())
#s(alt (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (patch (*.f64 M (*.f64 D #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 d #s(literal 2 binary64)) (patch (*.f64 d #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 h l) (patch (*.f64 h l) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (patch (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (patch (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) #<representation binary64>) () ())
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())
#s(alt (neg.f64 h) (patch (neg.f64 h) #<representation binary64>) () ())
#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())
#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())
#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())
Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d l)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt d) (sqrt -1))) (taylor -inf d) (#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor 0 h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor 0 h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor 0 h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor 0 h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt h) (sqrt -1)) (taylor inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt h) (sqrt -1))) (taylor -inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt h) (sqrt -1))) (taylor -inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt h) (sqrt -1))) (taylor -inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt h) (sqrt -1))) (taylor -inf h) (#s(alt (sqrt.f64 (neg.f64 h)) (patch (sqrt.f64 (neg.f64 h)) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor 0 d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor 0 d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor 0 d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor 0 d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt d) (taylor inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt d) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (sqrt.f64 d) (patch (sqrt.f64 d) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor 0 l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor 0 l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor 0 l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor 0 l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (sqrt l) (taylor inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt l) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt l) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt l) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt l) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor 0 d) (#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor 0 d) (#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor 0 d) (#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor 0 d) (#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ())) ())
Calls

252 calls:

TimeVariablePointExpression
18.0ms
D
@0
(* M D)
7.0ms
h
@0
(/ (/ (* M D) (* d 2)) (/ 1 h))
4.0ms
d
@inf
(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)
2.0ms
d
@0
(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)
2.0ms
h
@0
(* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d)))

simplify408.0ms (1.8%)

Memory
22.7MiB live, 597.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 240×lower-*.f64
9 240×lower-*.f32
5 604×lower-fma.f64
5 604×lower-fma.f32
3 882×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037116234
1110915688
2395715573
0848715243
Stop Event
1×iter limit
1×node limit
Counts
1 008 → 1 008
Calls
Call 1
Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(sqrt (/ 1 (* h l)))
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))
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(* -1 (* h (+ (* -1 (* (/ (* d (sqrt -1)) h) (sqrt (/ 1 l)))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) d) (sqrt (/ 1 (pow l 3))))))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))
(sqrt (/ d l))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))
(/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))
(sqrt (/ d l))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))
(sqrt (/ d l))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))
(sqrt (/ d l))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* 1/2 D)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* D M)
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 1/2 (* D M))
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(* h l)
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt (/ (pow h 3) (pow l 3)))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(* 1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* 1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* 1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* 1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* -1 h)
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* (sqrt d) (sqrt -1))
(* -1 (* (sqrt d) (sqrt -1)))
(* -1 (* (sqrt d) (sqrt -1)))
(* -1 (* (sqrt d) (sqrt -1)))
(* -1 (* (sqrt d) (sqrt -1)))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* (sqrt h) (sqrt -1))
(* -1 (* (sqrt h) (sqrt -1)))
(* -1 (* (sqrt h) (sqrt -1)))
(* -1 (* (sqrt h) (sqrt -1)))
(* -1 (* (sqrt h) (sqrt -1)))
(sqrt d)
(sqrt d)
(sqrt d)
(sqrt d)
(sqrt d)
(sqrt d)
(sqrt d)
(sqrt d)
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(sqrt l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
(* 2 d)
Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
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(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* D M)
(*.f64 D M)
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 1/2 (* D M))
(*.f64 #s(literal 1/2 binary64) (*.f64 D M))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(* h l)
(*.f64 h l)
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(sqrt (/ (pow h 3) (pow l 3)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) #s(literal 1/8 binary64))
(* -1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) #s(literal 1/8 binary64))
(* -1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) #s(literal 1/8 binary64))
(* -1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) #s(literal 1/8 binary64))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1/8 (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* 1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* 1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* 1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* 1/8 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 d)
(neg.f64 d)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* -1 h)
(neg.f64 h)
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* (sqrt d) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(* -1 (* (sqrt d) (sqrt -1)))
(*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt d) (sqrt -1)))
(*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt d) (sqrt -1)))
(*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt d) (sqrt -1)))
(*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* (sqrt h) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(* -1 (* (sqrt h) (sqrt -1)))
(*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt h) (sqrt -1)))
(*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt h) (sqrt -1)))
(*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt h) (sqrt -1)))
(*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(sqrt d)
(sqrt.f64 d)
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt.f64 d)
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt.f64 d)
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt.f64 d)
(* -1 (* (sqrt d) (pow (sqrt -1) 2)))
(sqrt.f64 d)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(sqrt l)
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* -1 (* (sqrt l) (pow (sqrt -1) 2)))
(sqrt.f64 l)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))

rewrite375.0ms (1.7%)

Memory
37.0MiB live, 769.3MiB allocated
Rules
4 624×lower-*.f32
4 574×lower-*.f64
4 130×lower-/.f32
4 106×lower-/.f64
2 148×lower-pow.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082398
0137367
1408331
22680318
08787318
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
32 → 1 004
Calls
Call 1
Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)
(fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))))
(sqrt.f64 (/.f64 h l))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d)))
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 D #s(literal 1/2 binary64))
(*.f64 M D)
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
(*.f64 d #s(literal 2 binary64))
(*.f64 h l)
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(neg.f64 d)
(neg.f64 h)
(sqrt.f64 (neg.f64 d))
(sqrt.f64 (neg.f64 h))
(sqrt.f64 d)
(sqrt.f64 l)
(*.f64 #s(literal 2 binary64) d)
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 d) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 h))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (/.f64 d #s(literal 1 binary64))) (sqrt.f64 h))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 h)))))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(*.f64 (sqrt.f64 d) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 h)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 d (neg.f64 h))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (pow.f64 (*.f64 d #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(*.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d l) (/.f64 d l))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 d) #s(literal 1/2 binary64)) (*.f64 (log.f64 l) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 d l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 l d) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 (sqrt.f64 d) (sqrt.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 l))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 l)))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(*.f64 (sqrt.f64 d) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l))))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 l)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 d (neg.f64 l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 d))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (neg.f64 (log.f64 h))))
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))
(/.f64 h (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))))))
(/.f64 (*.f64 M D) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 h) (neg.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (*.f64 D (neg.f64 M)) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (*.f64 D (neg.f64 M)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 d h))
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 D (neg.f64 M)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d h))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (neg.f64 (*.f64 D (neg.f64 M))) (neg.f64 (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 D (neg.f64 M))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) (neg.f64 (/.f64 d h)))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) d)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 D (neg.f64 M)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d)
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) h) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 D (neg.f64 M)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 d h)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h))))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) h)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 D (neg.f64 M)) h)) (neg.f64 (*.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M D) d) h)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h))) (*.f64 d #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D)) #s(literal -1 binary64))
(*.f64 h (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))))
(*.f64 M (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 M (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) h))
(*.f64 M (/.f64 D (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(*.f64 D (/.f64 M (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) h)
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))
(*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) h))
(*.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (/.f64 M d) #s(literal 1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)) (neg.f64 h))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D (*.f64 d #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 M d)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 D (neg.f64 M))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 M D) d)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
(/.f64 (neg.f64 d) (neg.f64 (sqrt.f64 (*.f64 h l))))
(/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 h l)))
(/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))
(/.f64 (neg.f64 (*.f64 d #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (*.f64 h l))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) d)) (neg.f64 (sqrt.f64 (*.f64 h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)
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(sqrt.f64 (neg.f64 h))
(/.f64 (*.f64 h (sqrt.f64 (neg.f64 h))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 h h (*.f64 #s(literal 0 binary64) h)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 h h))) (sqrt.f64 (+.f64 #s(literal 0 binary64) h)))
(pow.f64 (neg.f64 h) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 h) (neg.f64 h)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 h))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h))
(*.f64 (sqrt.f64 h) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 h) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 h) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 d) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)))
(sqrt.f64 d)
(sqrt.f64 (neg.f64 d))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 d d)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d))) (sqrt.f64 (+.f64 #s(literal 0 binary64) d)))
(pow.f64 d #s(literal 1/2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 d) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 d))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 d) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d))
(*.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64)))
(sqrt.f64 l)
(pow.f64 l #s(literal 1/2 binary64))
(pow.f64 (*.f64 l l) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 l #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 l #s(literal 1/4 binary64)) (pow.f64 l #s(literal 1/4 binary64)))
(*.f64 d #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) d)

eval306.0ms (1.4%)

Memory
-12.2MiB live, 562.0MiB allocated
Compiler

Compiled 79 225 to 5 064 computations (93.6% saved)

prune410.0ms (1.8%)

Memory
-21.6MiB live, 710.4MiB allocated
Pruning

63 alts after pruning (62 fresh and 1 done)

PrunedKeptTotal
New2 110402 150
Fresh82230
Picked415
Done000
Total2 122632 185
Accuracy
93.2%
Counts
2 185 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.4%
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
19.1%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) M) (/.f64 (*.f64 M (*.f64 D D)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
27.1%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 M D)) d)) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
18.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
20.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d d)) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
16.5%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (/.f64 (*.f64 h (*.f64 D D)) l)) (*.f64 d d)) (*.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
22.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
29.9%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
46.3%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
47.3%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
16.3%
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
4.6%
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
28.7%
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
26.5%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
55.4%
(*.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 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1/4 binary64)) d) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) d)))
53.0%
(*.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 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))
63.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
58.0%
(*.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)) (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))) (/.f64 h l))))
61.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 2 binary64) (*.f64 M D))))) (/.f64 h l))))
59.1%
(*.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 1/2 binary64) (/.f64 h l)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
31.8%
(*.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))))
41.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
33.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))))
31.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 M M)))) (/.f64 #s(literal 1/8 binary64) (*.f64 d (*.f64 d l)))))))
▶66.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
65.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
61.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
30.0%
(*.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))))
43.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶16.3%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
40.4%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
46.7%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
36.6%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
30.6%
(*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
16.2%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
27.8%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l)))))))))
▶15.5%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
22.8%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
32.7%
#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 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
37.5%
#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 M (*.f64 M D)) d) (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
25.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
56.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 (/.f64 h l)) #s(literal 3 binary64))))) h))
56.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
56.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) 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 (/.f64 (fma.f64 (*.f64 (sqrt.f64 h) d) (*.f64 l (sqrt.f64 l)) (*.f64 (sqrt.f64 l) (*.f64 (*.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))) (*.f64 h (sqrt.f64 h))))) (*.f64 (sqrt.f64 l) (*.f64 l (sqrt.f64 l)))) h))
▶21.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
14.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
36.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
▶31.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
37.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 h (fma.f64 (*.f64 h (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))) (*.f64 d (sqrt.f64 (/.f64 h l)))))))
15.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
15.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
3.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d)))))
31.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (pow.f64 (pow.f64 (*.f64 h l) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
28.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
3.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
31.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
32.3%
#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
32.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
32.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
✓32.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
26.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
30.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64)))))
Compiler

Compiled 4 146 to 2 530 computations (39% saved)

simplify270.0ms (1.2%)

Memory
12.9MiB live, 292.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h)))
cost-diff320
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
cost-diff384
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
cost-diff384
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))
cost-diff0
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
cost-diff0
#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
cost-diff0
(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
cost-diff0
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))
cost-diff0
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
cost-diff128
(*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))))
cost-diff0
(*.f64 h l)
cost-diff0
(sqrt.f64 (*.f64 h l))
cost-diff0
(/.f64 d (sqrt.f64 (*.f64 h l)))
cost-diff0
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
cost-diff384
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff1088
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Rules
8 926×lower-*.f32
8 864×lower-*.f64
3 336×lower-/.f32
3 298×lower-/.f64
1 630×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251161
01931094
13991070
213401021
358841019
084331005
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
(*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))))
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
(/.f64 h (*.f64 l (*.f64 l l)))
h
(*.f64 l (*.f64 l l))
l
(*.f64 l l)
(*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))
(neg.f64 (*.f64 M M))
(*.f64 M M)
M
(/.f64 (*.f64 D D) d)
(*.f64 D 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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)
#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l))))
#s(literal -1/8 binary64)
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(*.f64 D (*.f64 D (*.f64 M M)))
D
(*.f64 D (*.f64 M M))
(*.f64 M M)
M
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))
(*.f64 h (*.f64 h h))
h
(*.f64 h h)
(*.f64 l (*.f64 l l))
l
(*.f64 l l)
(*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))
(*.f64 d d)
d
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l)))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h)))
#s(literal 1/4 binary64)
(*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))
(*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h)
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 M (*.f64 D (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
D
(*.f64 M D)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
d
#s(literal 4 binary64)
h
(*.f64 l l)
l
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(/.f64 (*.f64 d d) (*.f64 h l))
(*.f64 h l)
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 h l))
#s(literal 1/2 binary64)
(/.f64 h l)
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (/.f64 #s(literal 1/4 binary64) d))) (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (/.f64 #s(literal 1/4 binary64) d))) (*.f64 M D)) (*.f64 (*.f64 d l) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (*.f64 h (*.f64 M D))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l))
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64)))
(*.f64 M (*.f64 D (/.f64 #s(literal 1/4 binary64) d)))
(*.f64 M (*.f64 D #s(literal 1/2 binary64)))
M
(*.f64 D #s(literal 1/2 binary64))
D
#s(literal 1/2 binary64)
(*.f64 d #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 h (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 M D)
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) #s(literal 1/8 binary64)) (*.f64 D (*.f64 M (*.f64 M D)))) d))
(*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) #s(literal 1/8 binary64)) (*.f64 D (*.f64 M (*.f64 M D)))) d)
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))
(neg.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))))
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
(/.f64 h (*.f64 l (*.f64 l l)))
h
(*.f64 l (*.f64 l l))
l
(*.f64 l l)
(*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))
(/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (neg.f64 d))
(neg.f64 (*.f64 M M))
(*.f64 M M)
M
(/.f64 (*.f64 D D) d)
(*.f64 D 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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (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 (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)
(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)
#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l))))
#s(literal -1/8 binary64)
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(*.f64 D (*.f64 (*.f64 M (*.f64 M D)) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))
(*.f64 D (*.f64 D (*.f64 M M)))
(*.f64 D (*.f64 M (*.f64 M D)))
D
(*.f64 D (*.f64 M M))
(*.f64 M (*.f64 M D))
(*.f64 M M)
M
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))
(*.f64 h (*.f64 h h))
h
(*.f64 h h)
(*.f64 l (*.f64 l l))
l
(*.f64 l l)
(*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))
(*.f64 d d)
d
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 M D))) (*.f64 (*.f64 l l) (*.f64 d (*.f64 d #s(literal 4 binary64))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 M D))) (*.f64 d d))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (fma.f64 (*.f64 h #s(literal 1/2 binary64)) (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 M D))) (*.f64 (*.f64 l l) (*.f64 d (*.f64 d #s(literal 4 binary64))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 M D))) (*.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l)))
(fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 M D))) (*.f64 (*.f64 l l) (*.f64 d (*.f64 d #s(literal 4 binary64))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 M D))) (*.f64 d d))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))
(/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 M D))) (*.f64 d d))) (*.f64 (*.f64 M D) (*.f64 h (*.f64 M D)))) (*.f64 (*.f64 l l) (*.f64 d (*.f64 d #s(literal 4 binary64)))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h)))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d (*.f64 d #s(literal 4 binary64)))) (*.f64 h (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 M D))) (*.f64 d d)))))
#s(literal 1/4 binary64)
(*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))
(*.f64 (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d (*.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 h h) (*.f64 D (*.f64 M (*.f64 M D)))) (*.f64 d (*.f64 d #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h)
(/.f64 (*.f64 (*.f64 M D) (*.f64 h (*.f64 M D))) (*.f64 d (*.f64 d #s(literal 4 binary64))))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 d (*.f64 d #s(literal 4 binary64))))
(*.f64 M (*.f64 D (*.f64 M D)))
(*.f64 D (*.f64 M (*.f64 M D)))
M
(*.f64 D (*.f64 M D))
(*.f64 M (*.f64 D D))
D
(*.f64 M D)
(*.f64 (*.f64 d d) #s(literal 4 binary64))
(*.f64 d (*.f64 d #s(literal 4 binary64)))
(*.f64 d d)
d
#s(literal 4 binary64)
h
(*.f64 l l)
l
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(/.f64 (*.f64 d d) (*.f64 h l))
(*.f64 h l)
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 h #s(literal 1/2 binary64)) (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(fma.f64 (*.f64 h #s(literal 1/2 binary64)) (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 h l))
#s(literal 1/2 binary64)
(/.f64 h l)

localize341.0ms (1.5%)

Memory
29.0MiB live, 487.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy6.071832383389351
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))
accuracy6.836557265908685
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy9.408952864967116
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
accuracy11.015972293424461
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
accuracy4.9485864867734985
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
accuracy5.532382540297944
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
accuracy7.285976834815668
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
accuracy7.774184117013943
(/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))
accuracy5.636579344931275
(*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))
accuracy5.875740657903047
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))
accuracy8.80671566867691
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
accuracy12.616640605878128
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
accuracy0
(*.f64 h l)
accuracy0.10546875
(/.f64 d (sqrt.f64 (*.f64 h l)))
accuracy7.6896449527157795
(sqrt.f64 (*.f64 h l))
accuracy25.499704884950887
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
accuracy2.70182096607024
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
accuracy3.051829809071858
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
accuracy6.315284626312087
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy8.71398581986815
(sqrt.f64 (/.f64 l d))
Samples
112.0ms145×0invalid
79.0ms111×0valid
Compiler

Compiled 1 026 to 106 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-mult: 67.0ms (45.7% of total)
ival-div: 39.0ms (26.6% of total)
ival-sqrt: 14.0ms (9.6% of total)
ival-pow: 12.0ms (8.2% of total)
ival-add: 4.0ms (2.7% of total)
ival-sub: 3.0ms (2% of total)
ival-neg: 3.0ms (2% of total)
ival-pow2: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series181.0ms (0.8%)

Memory
4.4MiB live, 322.6MiB allocated
Counts
28 → 1 224
Calls
Call 1
Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) #<representation binary64>) () ())
#s(alt (/.f64 d (sqrt.f64 (*.f64 h l))) (patch (/.f64 d (sqrt.f64 (*.f64 h l))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())
#s(alt (*.f64 h l) (patch (*.f64 h l) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))) (patch (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))))) (patch #s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (patch (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (patch (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h) (patch (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h) #<representation binary64>) () ())
#s(alt #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) (patch #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d) (patch (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l)) (patch (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (patch (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)) (patch (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))) (patch (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (patch (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (patch (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (patch (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf D) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf D) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf D) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf D) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf D) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 d) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 d) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 d) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 d) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf d) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf d) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf d) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf d) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf d) (#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
Calls

306 calls:

TimeVariablePointExpression
8.0ms
l
@inf
(/ (* 1/4 (* (* (/ (* M (* D (* M D))) (* (* d d) 4)) h) (* (/ (* M (* D (* M D))) (* (* d d) 4)) h))) (* l l))
5.0ms
M
@0
(/ (* 1/4 (* (* (/ (* M (* D (* M D))) (* (* d d) 4)) h) (* (/ (* M (* D (* M D))) (* (* d d) 4)) h))) (* l l))
4.0ms
M
@0
(/ (/ (* M D) (* d 2)) (/ 1 h))
3.0ms
d
@0
(* -1/8 (* (sqrt (/ h (* l (* l l)))) (* (neg (* M M)) (/ (* D D) d))))
2.0ms
D
@0
(/ (* 1/4 (* (* (/ (* M (* D (* M D))) (* (* d d) 4)) h) (* (/ (* M (* D (* M D))) (* (* d d) 4)) h))) (* l l))

simplify419.0ms (1.9%)

Memory
9.4MiB live, 677.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 638×lower-*.f64
7 638×lower-*.f32
3 952×lower-fma.f64
3 952×lower-fma.f32
3 474×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023421984
169621179
2248621125
3557920590
0876620230
Stop Event
1×iter limit
1×node limit
Counts
1 224 → 1 224
Calls
Call 1
Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
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(* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (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))))
(* d (sqrt (/ 1 (* h l))))
(* 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 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h M)) D) d)
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* 1/4 (/ (* D M) (* d l)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M M)) (*.f64 d d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
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(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))

rewrite473.0ms (2.1%)

Memory
-4.7MiB live, 576.4MiB allocated
Rules
4 736×lower-*.f32
4 674×lower-*.f64
2 938×lower-/.f32
2 900×lower-/.f64
2 020×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125716
0193574
1659506
25577490
08063482
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 850
Calls
Call 1
Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
(*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)
#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h)))
(sqrt.f64 (/.f64 l d))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))
(/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (/.f64 d h)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d h))
(sqrt.f64 (exp.f64 (log.f64 (/.f64 d h))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 d h))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h)))
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d d)))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 d #s(literal 4 binary64)))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) (*.f64 M (*.f64 D (*.f64 M D))))))
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (neg.f64 D))) (*.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (neg.f64 D))) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal -2 binary64))))
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(/.f64 (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d d))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))))
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d #s(literal 2 binary64)) d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M D)) (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (*.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 d (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))))
(/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 d (*.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) d)
(/.f64 (*.f64 (*.f64 M (neg.f64 D)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M (neg.f64 D))) (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M D) d)) (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) d))
(/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M (neg.f64 D))) (*.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 (*.f64 M D) d)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 d d))
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) d)) (*.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 M (neg.f64 D)) (*.f64 M (neg.f64 D))) (*.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 M (neg.f64 D)) (/.f64 (*.f64 M D) d)) (*.f64 (*.f64 d #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 M (neg.f64 D)) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d #s(literal -2 binary64)) d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 M (neg.f64 D))) (*.f64 #s(literal 2 binary64) (*.f64 d #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (neg.f64 D)))) (neg.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d d)))) #s(literal -4 binary64))
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 4 binary64)) (*.f64 d d))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 M D)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 M (*.f64 d d)) (*.f64 D (*.f64 M D))) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 M (neg.f64 D))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) #s(literal 1/4 binary64))) (*.f64 d d))
(/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 M (neg.f64 D)) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) #s(literal 1/4 binary64))) (*.f64 d d)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) #s(literal -2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) (*.f64 M (*.f64 D (*.f64 M D)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) (*.f64 M (*.f64 D (*.f64 M D)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 D (*.f64 M D)) (/.f64 M (*.f64 d d)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 D (*.f64 M D)) #s(literal 1/4 binary64))) (*.f64 d d)))
(*.f64 M (/.f64 (*.f64 D (*.f64 M D)) (*.f64 #s(literal 4 binary64) (*.f64 d d))))
(*.f64 M (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))))
(*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))
(*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))))
(*.f64 (*.f64 M D) (/.f64 (*.f64 M D) (*.f64 #s(literal 4 binary64) (*.f64 d d))))
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(*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 D (*.f64 d #s(literal 2 binary64)))))
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(*.f64 (/.f64 (*.f64 D (*.f64 M D)) (*.f64 #s(literal 4 binary64) (*.f64 d d))) M)
(*.f64 (exp.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))) (exp.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))))
(*.f64 (/.f64 M #s(literal 4 binary64)) (/.f64 (*.f64 D (*.f64 M D)) (*.f64 d d)))
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(*.f64 (/.f64 (*.f64 M D) #s(literal 4 binary64)) (/.f64 (*.f64 M D) (*.f64 d d)))
(*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (/.f64 (*.f64 M D) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64))))
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(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 M #s(literal 1/2 binary64))) (*.f64 (/.f64 D d) (/.f64 D d)))
(*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) M) (/.f64 D (*.f64 d #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d))

eval584.0ms (2.6%)

Memory
-121.0MiB live, 672.7MiB allocated
Compiler

Compiled 107 815 to 4 557 computations (95.8% saved)

prune619.0ms (2.8%)

Memory
4.1MiB live, 855.1MiB allocated
Pruning

68 alts after pruning (66 fresh and 2 done)

PrunedKeptTotal
New2 343272 370
Fresh183957
Picked415
Done011
Total2 365682 433
Accuracy
94.4%
Counts
2 433 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.4%
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
32.6%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) d) (sqrt.f64 (*.f64 h l)))
19.1%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) M) (/.f64 (*.f64 M (*.f64 D D)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
27.1%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 M D)) d)) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
▶18.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
20.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d d)) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
16.5%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (/.f64 (*.f64 h (*.f64 D D)) l)) (*.f64 d d)) (*.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
22.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
46.3%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
47.3%
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
16.3%
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
4.6%
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
28.7%
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
26.5%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
53.0%
(*.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 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))))
58.0%
(*.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)) (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))) (/.f64 h l))))
31.8%
(*.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))))
41.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
33.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))))
31.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 M M)))) (/.f64 #s(literal 1/8 binary64) (*.f64 d (*.f64 d l)))))))
34.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
62.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
63.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h)))))
63.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/4 binary64)) l)) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
▶66.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
30.0%
(*.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))))
32.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
44.5%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
17.8%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l)) #s(literal 1 binary64))))
16.3%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
47.0%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
46.7%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
36.6%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
66.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
21.0%
(*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))))) (sqrt.f64 (neg.f64 h))))
15.2%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
▶15.8%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
16.2%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
22.8%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
18.2%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
27.8%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l)))))))))
16.7%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) d)))
16.1%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (*.f64 l l))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
16.7%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) (/.f64 #s(literal 1 binary64) d))))
16.9%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 D (/.f64 D d)) (neg.f64 M)) M))))
32.7%
#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 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
25.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
56.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 (/.f64 h l)) #s(literal 3 binary64))))) h))
56.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
56.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) 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 (/.f64 (fma.f64 (*.f64 (sqrt.f64 h) d) (*.f64 l (sqrt.f64 l)) (*.f64 (sqrt.f64 l) (*.f64 (*.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))) (*.f64 h (sqrt.f64 h))))) (*.f64 (sqrt.f64 l) (*.f64 l (sqrt.f64 l)))) h))
16.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
▶36.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
14.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
36.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
28.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓31.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
31.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
36.6%
#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))))
31.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (pow.f64 (pow.f64 (*.f64 h l) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
3.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
31.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
32.3%
#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
32.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
32.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
✓32.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
26.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
▶29.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
Compiler

Compiled 4 350 to 2 676 computations (38.5% saved)

simplify292.0ms (1.3%)

Memory
-43.1MiB live, 381.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
cost-diff0
#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
cost-diff0
(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
cost-diff0
(sqrt.f64 (/.f64 d l))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d)))
cost-diff0
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
cost-diff0
(/.f64 h (*.f64 l (*.f64 l l)))
cost-diff0
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
cost-diff0
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
cost-diff0
(/.f64 d (*.f64 h l))
cost-diff0
(*.f64 d (/.f64 d (*.f64 h l)))
cost-diff0
(sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))
cost-diff0
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
cost-diff704
(*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff1088
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
cost-diff5824
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Rules
6 956×lower-*.f32
6 904×lower-*.f64
3 662×lower-/.f32
3 626×lower-/.f64
3 056×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125972
0188943
1371923
21174907
34057907
45964907
08094895
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) l)
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))
(/.f64 (*.f64 M D) d)
(*.f64 M D)
M
D
#s(literal 1/4 binary64)
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 d #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
(sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))
(*.f64 d (/.f64 d (*.f64 h l)))
d
(/.f64 d (*.f64 h l))
(*.f64 h l)
h
l
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
(/.f64 h (*.f64 l (*.f64 l l)))
h
(*.f64 l (*.f64 l l))
l
(*.f64 l l)
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))
(*.f64 D (*.f64 D (*.f64 M M)))
D
(*.f64 D (*.f64 M M))
(*.f64 M M)
M
(/.f64 #s(literal 1/8 binary64) d)
#s(literal 1/8 binary64)
d
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d)))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
#s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l)))
(*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))
#s(literal -1/8 binary64)
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
(*.f64 d (*.f64 d l))
(*.f64 d l)
#s(literal 1 binary64)
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 h))
(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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)
#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l))))
#s(literal -1/8 binary64)
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))))
(*.f64 D (*.f64 D (*.f64 M M)))
D
(*.f64 D (*.f64 M M))
(*.f64 M M)
M
(sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))
(pow.f64 (/.f64 l h) #s(literal -3 binary64))
(/.f64 l h)
l
h
#s(literal -3 binary64)
(*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))
(*.f64 d d)
d
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 h (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l))) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))
(fma.f64 h (/.f64 (*.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l))) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 h M)) (*.f64 d #s(literal 2 binary64))) (*.f64 (*.f64 M D) #s(literal 1/4 binary64))) (*.f64 d l))
(*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (*.f64 d l))
(/.f64 #s(literal 1 binary64) l)
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))
(/.f64 (*.f64 M D) d)
(*.f64 M D)
M
D
#s(literal 1/4 binary64)
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 D (*.f64 h M)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))
(*.f64 d #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(*.f64 d (/.f64 d (*.f64 h l)))
(/.f64 (*.f64 d d) (*.f64 h l))
d
(/.f64 d (*.f64 h l))
(*.f64 h l)
h
l
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 D (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(*.f64 D (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d)))
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
(/.f64 h (*.f64 l (*.f64 l l)))
h
(*.f64 l (*.f64 l l))
l
(*.f64 l l)
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))
(/.f64 (*.f64 D (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64))) d)
(*.f64 D (*.f64 D (*.f64 M M)))
(*.f64 M (*.f64 M (*.f64 D D)))
D
(*.f64 D (*.f64 M M))
(*.f64 M (*.f64 M D))
(*.f64 M M)
M
(/.f64 #s(literal 1/8 binary64) d)
#s(literal 1/8 binary64)
d
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d)))
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
d
l
#s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))
#s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(*.f64 D D)
D
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l)))
(/.f64 (*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) (*.f64 d (*.f64 d l)))
(*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))
(*.f64 h (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))
#s(literal -1/8 binary64)
(*.f64 h (*.f64 M M))
h
(*.f64 M M)
M
(*.f64 d (*.f64 d l))
(*.f64 d l)
#s(literal 1 binary64)
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 h))
(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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (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 (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (*.f64 (*.f64 M M) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))) d)) h))
(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)
(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (*.f64 (*.f64 M M) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))) d)) h)
#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (*.f64 (*.f64 M M) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))) d))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
(/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (*.f64 (*.f64 M M) (*.f64 (*.f64 D D) #s(literal -1/8 binary64))))) d)
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l))))
(fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (*.f64 (*.f64 M M) (*.f64 (*.f64 D D) #s(literal -1/8 binary64)))))
#s(literal -1/8 binary64)
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))))
(*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))))
(*.f64 D (*.f64 D (*.f64 M M)))
(*.f64 M (*.f64 M (*.f64 D D)))
D
(*.f64 D (*.f64 M M))
(*.f64 M (*.f64 M D))
(*.f64 M M)
M
(sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))
(pow.f64 (/.f64 l h) #s(literal -3 binary64))
(/.f64 l h)
l
h
#s(literal -3 binary64)
(*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))
(*.f64 d d)
d
(sqrt.f64 (/.f64 h l))
(/.f64 h l)

localize390.0ms (1.7%)

Memory
35.9MiB live, 661.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.498775448464214
(sqrt.f64 (/.f64 h l))
accuracy4.9485864867734985
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
accuracy5.532382540297944
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))))
accuracy7.285976834815668
(sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))
accuracy2.2610246974431796
(*.f64 h (*.f64 M M))
accuracy5.544699391795467
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
accuracy7.962877493190981
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l)))
accuracy8.721751638025282
(sqrt.f64 (/.f64 d l))
accuracy2.7938910901026532
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))
accuracy6.0165779796488055
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
accuracy8.80671566867691
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
accuracy12.616640605878128
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
accuracy0.519080412803445
(*.f64 d (/.f64 d (*.f64 h l)))
accuracy2.0713762215064624
(/.f64 d (*.f64 h l))
accuracy11.015972293424461
(sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))
accuracy13.84177660364329
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
accuracy2.70182096607024
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
accuracy3.051829809071858
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
accuracy6.315284626312087
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
accuracy8.71398581986815
(sqrt.f64 (/.f64 l d))
Samples
105.0ms145×0invalid
93.0ms111×0valid
Compiler

Compiled 776 to 103 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-mult: 69.0ms (43.9% of total)
ival-div: 45.0ms (28.7% of total)
ival-sqrt: 15.0ms (9.6% of total)
ival-pow: 14.0ms (8.9% of total)
ival-add: 4.0ms (2.5% of total)
ival-pow2: 4.0ms (2.5% of total)
ival-sub: 2.0ms (1.3% of total)
ival-neg: 2.0ms (1.3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series143.0ms (0.6%)

Memory
22.3MiB live, 218.0MiB allocated
Counts
29 → 1 248
Calls
Call 1
Inputs
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 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)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))) (patch (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))) #<representation binary64>) () ())
#s(alt (*.f64 d (/.f64 d (*.f64 h l))) (patch (*.f64 d (/.f64 d (*.f64 h l))) #<representation binary64>) () ())
#s(alt (/.f64 d (*.f64 h l)) (patch (/.f64 d (*.f64 h l)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) (patch #s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (patch (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (patch (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) #<representation binary64>) () ())
#s(alt (/.f64 h (*.f64 l (*.f64 l l))) (patch (/.f64 h (*.f64 l (*.f64 l l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (patch (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (patch (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) #<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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h) (patch (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h) #<representation binary64>) () ())
#s(alt #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) (patch #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d) (patch (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)) (patch (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) (patch (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 h (*.f64 M M)) (patch (*.f64 h (*.f64 M M)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (patch (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (patch (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())
Outputs
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ d h)) (taylor 0 d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (sqrt (/ h l)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h l)) (taylor 0 l) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h l)) (taylor 0 l) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h l)) (taylor 0 l) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h l)) (taylor 0 l) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h l)) (taylor inf l) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h l)) (taylor inf l) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h l)) (taylor inf l) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ h l)) (taylor inf l) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ h l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ h l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ h l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ h l)) (pow (sqrt -1) 2)) (taylor -inf l) (#s(alt (sqrt.f64 (/.f64 h l)) (patch (sqrt.f64 (/.f64 h l)) #<representation binary64>) () ())) ())
Calls

312 calls:

TimeVariablePointExpression
3.0ms
d
@-inf
(/ d (* h l))
2.0ms
l
@0
(/ (* -1/8 (* h (* M M))) (* d (* d l)))
1.0ms
h
@0
(/ (* -1/8 (* h (* M M))) (* d (* d l)))
1.0ms
M
@0
(/ (* -1/8 (* h (* M M))) (* d (* d l)))
1.0ms
d
@0
(/ (* -1/8 (* h (* M M))) (* d (* d l)))

simplify394.0ms (1.8%)

Memory
-23.0MiB live, 609.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 232×lower-*.f64
9 232×lower-*.f32
5 548×lower-fma.f64
5 548×lower-fma.f32
3 878×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036522561
1109921817
2396821694
0847621241
Stop Event
1×iter limit
1×node limit
Counts
1 248 → 1 248
Calls
Call 1
Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* 1/4 (/ (* D M) (* d l)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(/ d (* h l))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
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(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))
(* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(sqrt (/ h l))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(* (sqrt (/ 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))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 d h)))
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d)
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* 1/4 (/ (* D M) (* d l)))
(*.f64 #s(literal 1/4 binary64) (*.f64 M (/.f64 D (*.f64 d l))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 d (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 d (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(*.f64 d (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 d d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (neg.f64 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 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 d d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (neg.f64 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 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 d d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (neg.f64 d))
(* d (sqrt (/ 1 (* h l))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
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(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h l))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h l))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h l))
(* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h l)))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h l)))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h l)))
(* (sqrt (/ h l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 h l)))

rewrite380.0ms (1.7%)

Memory
6.1MiB live, 557.2MiB allocated
Rules
4 920×lower-*.f32
4 868×lower-*.f64
3 052×lower-/.f32
3 016×lower-/.f64
2 620×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125674
0188640
1613580
24416574
08231564
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 579
Calls
Call 1
Inputs
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
(sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))
(*.f64 d (/.f64 d (*.f64 h l)))
(/.f64 d (*.f64 h l))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))
(/.f64 h (*.f64 l (*.f64 l l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d)))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 d l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)
#s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)
(sqrt.f64 (/.f64 l d))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l)))
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))
(*.f64 h (*.f64 M M))
(sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)))
(*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))))
(sqrt.f64 (/.f64 h l))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))) (neg.f64 (log.f64 h))))
(neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(/.f64 h (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D)))
(/.f64 (*.f64 M D) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h))
(/.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 M D)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h))
(/.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) (/.f64 d h))
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 d h))
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) h) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) h) (*.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 D (*.f64 M #s(literal 1/2 binary64))) h) d)
(/.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h)) (*.f64 d #s(literal 2 binary64)))
(pow.f64 (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D)) #s(literal -1 binary64))
(*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))))
(*.f64 M (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 M (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) h))
(*.f64 M (/.f64 D (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(*.f64 D (/.f64 M (*.f64 (/.f64 d h) #s(literal 2 binary64))))
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h))
(*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) h)
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))
(*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) h))
(*.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (*.f64 d #s(literal 2 binary64))))
(*.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (/.f64 M d) #s(literal 1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 h))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d)))
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) l)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M D) #s(literal 1/4 binary64))) (*.f64 d l))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 M D) #s(literal 1/4 binary64))) (*.f64 (neg.f64 l) d))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 d l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 d (neg.f64 l)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d)) (neg.f64 l))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (*.f64 M D) #s(literal 1/4 binary64))) d)
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) #s(literal -1 binary64)) (neg.f64 l))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d)) (neg.f64 l))
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) l)) d)
(pow.f64 (/.f64 l (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (*.f64 M D)) (*.f64 (neg.f64 l) d))))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d))
(*.f64 (/.f64 (*.f64 M D) d) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) l)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (*.f64 M D)) (*.f64 (neg.f64 l) d)))
(*.f64 (/.f64 (neg.f64 (*.f64 M D)) (*.f64 (neg.f64 l) d)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) #s(literal 1/4 binary64)) (/.f64 (*.f64 M 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)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
(exp.f64 (*.f64 (log.f64 (*.f64 d (/.f64 d (*.f64 h l)))) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 l d))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 l d))) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h)))))
(exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 l d)))))
(sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h))))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h))) (neg.f64 (sqrt.f64 (/.f64 l d))))
(pow.f64 (*.f64 d (/.f64 d (*.f64 h l))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 d h))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 d (/.f64 d (*.f64 h l))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 d h) (/.f64 d h)) (*.f64 (/.f64 d l) (/.f64 d l))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 d l) (/.f64 d l)) (*.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 d (/.f64 d (*.f64 h l))) (*.f64 d (/.f64 d (*.f64 h l)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 d (/.f64 d (*.f64 h l))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
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(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 (*.f64 l (*.f64 l l)) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))))) (neg.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 (*.f64 d (*.f64 d l)) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 (*.f64 d (*.f64 d l)) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 (*.f64 d (*.f64 d l)) (*.f64 d (*.f64 d l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))))
(pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 (*.f64 d (*.f64 d l)) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 (*.f64 l (*.f64 l l)) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 (*.f64 d (*.f64 d l)) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 (*.f64 l (*.f64 l l)) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 (*.f64 d (*.f64 d l)) (*.f64 d (*.f64 d l)))) #s(literal 1 binary64)) (/.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))))) (*.f64 D (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M)))))) (*.f64 (*.f64 d (*.f64 d l)) (*.f64 d (*.f64 d l)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal -1 binary64))))
(*.f64 h (*.f64 M M))
(*.f64 M (*.f64 h M))
(*.f64 (*.f64 M M) h)
(*.f64 (*.f64 h M) M)
(exp.f64 (*.f64 (log.f64 (/.f64 l h)) #s(literal -3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 l h))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 h l))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fabs.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))
(sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l (*.f64 l l))) (sqrt.f64 (*.f64 h (*.f64 h h)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 l h)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 h)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (*.f64 h (*.f64 h h))) (sqrt.f64 (*.f64 l (*.f64 l l))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 h (*.f64 h h)))) (sqrt.f64 (neg.f64 (*.f64 l (*.f64 l l)))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) l)) (sqrt.f64 (*.f64 l l)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 h (*.f64 h h)))) (neg.f64 (sqrt.f64 (*.f64 l (*.f64 l l)))))
(/.f64 (pow.f64 (sqrt.f64 h) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 l) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (neg.f64 h)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 h)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 l)) #s(literal 3 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64))
(pow.f64 (/.f64 l h) #s(literal -3/2 binary64))
(pow.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 h l)) #s(literal 3 binary64))
(pow.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 l h) (/.f64 l h)) #s(literal -3/4 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))) (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 h (*.f64 h h)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l (*.f64 l l))) (sqrt.f64 (*.f64 h (*.f64 h h)))) #s(literal -1 binary64))
(*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 h l))
(*.f64 (sqrt.f64 (*.f64 h (*.f64 h h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l l)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))) (sqrt.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))
(*.f64 (sqrt.f64 h) (sqrt.f64 (/.f64 (*.f64 h h) (*.f64 l (*.f64 l l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l l)))) (sqrt.f64 (*.f64 h (*.f64 h h))))
(*.f64 (pow.f64 (sqrt.f64 h) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 D (*.f64 D (*.f64 (*.f64 M M) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))))
(*.f64 (*.f64 M (*.f64 M D)) (*.f64 D (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))
(*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))
(*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 M (*.f64 M (*.f64 D D))))
(*.f64 (*.f64 D (*.f64 (*.f64 M M) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) D)
(*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D)))
(*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 D D)) (*.f64 M M))
(exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 h l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l)))
(/.f64 (sqrt.f64 h) (sqrt.f64 l))
(/.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 l)))
(pow.f64 (/.f64 h l) #s(literal 1/2 binary64))
(pow.f64 (/.f64 l h) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 h h) (*.f64 l l)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 l h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 h)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 h) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 1/4 binary64)))

eval433.0ms (1.9%)

Memory
27.6MiB live, 402.7MiB allocated
Compiler

Compiled 55 737 to 2 556 computations (95.4% saved)

prune742.0ms (3.3%)

Memory
-6.4MiB live, 695.8MiB allocated
Pruning

72 alts after pruning (69 fresh and 3 done)

PrunedKeptTotal
New1 801261 827
Fresh184361
Picked415
Done022
Total1 823721 895
Accuracy
95.2%
Counts
1 895 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.6%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) d) (sqrt.f64 (*.f64 h l)))
18.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) l) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
19.1%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h M) M)) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
16.5%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (/.f64 (*.f64 h (*.f64 D D)) l)) (*.f64 d d)) (*.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
22.6%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
16.3%
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
4.6%
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
28.7%
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
52.4%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
26.5%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
58.0%
(*.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)) (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))) (/.f64 h l))))
31.8%
(*.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))))
41.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
33.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))))
31.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 M M)))) (/.f64 #s(literal 1/8 binary64) (*.f64 d (*.f64 d l)))))))
34.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
62.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)))))
63.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h)))))
63.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/4 binary64)) l)) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
30.0%
(*.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))))
32.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
44.5%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
17.8%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 h #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d)) l)) #s(literal 1 binary64))))
61.4%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
44.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
41.6%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 d h)))
66.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
18.6%
(*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (*.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))))
34.8%
(*.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
18.1%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (*.f64 (*.f64 D (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) d))
18.1%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 M (*.f64 D D))))))
15.2%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
16.2%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
15.8%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
17.3%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
17.3%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
16.3%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
16.2%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
22.8%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
18.2%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
28.6%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l (*.f64 h h)) h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d))))
16.7%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) d)))
16.9%
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 D (/.f64 D d)) (neg.f64 M)) M))))
32.7%
#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 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
25.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
56.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (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 (/.f64 (fma.f64 (*.f64 (sqrt.f64 h) d) (*.f64 l (sqrt.f64 l)) (*.f64 (sqrt.f64 l) (*.f64 (*.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))) (*.f64 h (sqrt.f64 h))))) (*.f64 (sqrt.f64 l) (*.f64 l (sqrt.f64 l)))) h))
16.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
42.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal -1/8 binary64)))) d)) h))
43.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
39.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 (*.f64 M M) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) D) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
42.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) d))) h))
14.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))) h))
36.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
28.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
✓31.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
31.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
36.6%
#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))))
31.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (pow.f64 (pow.f64 (*.f64 h l) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
3.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
31.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
32.3%
#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
32.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
32.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l))))
✓32.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
26.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h 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)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) l) h)))
23.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
30.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d l) h))))
29.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d h) l))))
✓29.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
29.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
Compiler

Compiled 5 774 to 1 903 computations (67% saved)

regimes294.0ms (1.3%)

Memory
-5.1MiB live, 500.0MiB allocated
Counts
129 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d l) h))))
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(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 2 binary64) (*.f64 M D))))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Calls

7 calls:

54.0ms
l
51.0ms
M
37.0ms
D
37.0ms
(*.f64 M D)
37.0ms
h
Results
AccuracySegmentsBranch
81.7%3d
80.9%3h
81.4%3l
66.2%1M
66.2%1D
70.2%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))))
66.2%1(*.f64 M D)
Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes102.0ms (0.5%)

Memory
28.0MiB live, 190.4MiB allocated
Counts
110 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 M (*.f64 D D))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (*.f64 (*.f64 D (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 D (/.f64 D d)) (neg.f64 M)) M))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (*.f64 l l))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 M D)) d) (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 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 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
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(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Calls

3 calls:

34.0ms
d
31.0ms
l
29.0ms
h
Results
AccuracySegmentsBranch
76.6%2h
79.0%3l
79.7%3d
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes33.0ms (0.1%)

Memory
-17.9MiB live, 63.8MiB allocated
Counts
91 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
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#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
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#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
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#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (*.f64 l l))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
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(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h M) M)) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (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 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 (*.f64 M M) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) D) (*.f64 (*.f64 d d) (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 (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (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 (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal -1/8 binary64)))) d)) h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l)))))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l (*.f64 h h)) h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d d)) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) l) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))))) (sqrt.f64 (neg.f64 h))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d)))))
#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 h (fma.f64 (*.f64 h (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))) (*.f64 d (sqrt.f64 (/.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) d))) h))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (/.f64 (*.f64 h (*.f64 D D)) l)) (*.f64 d d)) (*.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) M) (/.f64 (*.f64 M (*.f64 D D)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 M D)) d)) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 h) d) (*.f64 l (sqrt.f64 l)) (*.f64 (sqrt.f64 l) (*.f64 (*.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))) (*.f64 h (sqrt.f64 h))))) (*.f64 (sqrt.f64 l) (*.f64 l (sqrt.f64 l)))) h))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Calls

1 calls:

25.0ms
d
Results
AccuracySegmentsBranch
79.7%3d
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes112.0ms (0.5%)

Memory
-8.3MiB live, 188.7MiB allocated
Counts
90 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
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(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 h) d) (*.f64 l (sqrt.f64 l)) (*.f64 (sqrt.f64 l) (*.f64 (*.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))) (*.f64 h (sqrt.f64 h))))) (*.f64 (sqrt.f64 l) (*.f64 l (sqrt.f64 l)))) h))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
Calls

3 calls:

42.0ms
l
37.0ms
d
25.0ms
h
Results
AccuracySegmentsBranch
74.8%3h
75.3%3l
78.4%4d
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes85.0ms (0.4%)

Memory
18.0MiB live, 212.5MiB allocated
Counts
89 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
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#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
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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)))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
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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 M (*.f64 M D)) d) (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) (*.f64 d (sqrt.f64 (/.f64 h 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 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 (*.f64 M M) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) D) (*.f64 (*.f64 d d) (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 (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (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 (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal -1/8 binary64)))) d)) h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l)))))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l (*.f64 h h)) h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d d)) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) l) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))))) (sqrt.f64 (neg.f64 h))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d)))))
#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 h (fma.f64 (*.f64 h (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))) (*.f64 d (sqrt.f64 (/.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) d))) h))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (/.f64 (*.f64 h (*.f64 D D)) l)) (*.f64 d d)) (*.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) M) (/.f64 (*.f64 M (*.f64 D D)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 M D)) d)) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 h) d) (*.f64 l (sqrt.f64 l)) (*.f64 (sqrt.f64 l) (*.f64 (*.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))) (*.f64 h (sqrt.f64 h))))) (*.f64 (sqrt.f64 l) (*.f64 l (sqrt.f64 l)))) h))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

3 calls:

27.0ms
d
27.0ms
h
25.0ms
l
Results
AccuracySegmentsBranch
68.0%2h
70.4%2l
72.5%4d
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes186.0ms (0.8%)

Memory
-0.9MiB live, 359.5MiB allocated
Counts
86 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 M (*.f64 D D))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (*.f64 (*.f64 D (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
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#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (*.f64 l l))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 M D)) d) (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 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 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (*.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 h M) M)) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (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 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 (*.f64 M M) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) D) (*.f64 (*.f64 d d) (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 (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (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 (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal -1/8 binary64)))) d)) h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l)))))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l (*.f64 h h)) h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D (*.f64 D (*.f64 h (*.f64 M M)))) (*.f64 d d)) l) l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) l) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 d))) (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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))))) (sqrt.f64 (neg.f64 h))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d)))))
#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 h (fma.f64 (*.f64 h (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 D (*.f64 (/.f64 (*.f64 M (*.f64 M D)) d) #s(literal -1/8 binary64))) (*.f64 d (sqrt.f64 (/.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) d))) h))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (/.f64 (*.f64 h (*.f64 D D)) l)) (*.f64 d d)) (*.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) M) (/.f64 (*.f64 M (*.f64 D D)) (*.f64 d (*.f64 d #s(literal 4 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 M D)) d)) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (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 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
Calls

7 calls:

33.0ms
D
27.0ms
l
25.0ms
h
25.0ms
M
24.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
61.4%1D
61.4%1(*.f64 M D)
61.4%1M
63.3%2h
69.6%4d
68.0%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
68.1%3l
Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes53.0ms (0.2%)

Memory
26.1MiB live, 103.4MiB allocated
Counts
57 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 M (*.f64 D D))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (*.f64 (*.f64 D (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 D (/.f64 D d)) (neg.f64 M)) M))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (*.f64 l l))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 M D)) d) (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 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 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h 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 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
Calls

3 calls:

18.0ms
l
16.0ms
(*.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))))
16.0ms
d
Results
AccuracySegmentsBranch
64.0%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
64.2%4d
66.7%4l
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes156.0ms (0.7%)

Memory
-17.0MiB live, 145.3MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 M (*.f64 D D))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (*.f64 (*.f64 D (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 D (/.f64 D d)) (neg.f64 M)) M))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (*.f64 l l))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 M D)) d) (*.f64 D (*.f64 #s(literal -1/8 binary64) (*.f64 h (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) d) (sqrt.f64 (*.f64 h l)))
Calls

6 calls:

42.0ms
h
26.0ms
D
16.0ms
(*.f64 M D)
15.0ms
l
15.0ms
M
Results
AccuracySegmentsBranch
64.0%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
57.5%2D
56.5%2M
59.6%3(*.f64 M D)
56.4%3h
64.3%4l
Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes57.0ms (0.3%)

Memory
1.6MiB live, 39.4MiB allocated
Counts
48 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 M (*.f64 D D))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (*.f64 (*.f64 D (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 D (/.f64 D d)) (neg.f64 M)) M))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (*.f64 l l))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) d) (sqrt.f64 (*.f64 h l)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 h #s(literal -1/2 binary64))) (*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 M (*.f64 D D))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) d) (sqrt.f64 (*.f64 h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
Calls

3 calls:

28.0ms
l
13.0ms
d
12.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
61.8%4d
60.4%4l
54.6%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes87.0ms (0.4%)

Memory
-24.1MiB live, 83.6MiB allocated
Counts
45 → 5
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 M (*.f64 D D))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (*.f64 (*.f64 D (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 D (/.f64 D d)) (neg.f64 M)) M))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(*.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (*.f64 l l))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 M (*.f64 D D))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
(*.f64 #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
Calls

5 calls:

28.0ms
(*.f64 M D)
17.0ms
l
13.0ms
D
13.0ms
d
13.0ms
M
Results
AccuracySegmentsBranch
48.6%2M
57.3%4l
48.2%5D
48.9%4(*.f64 M D)
59.9%5d
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes17.0ms (0.1%)

Memory
-13.4MiB live, 24.4MiB allocated
Counts
43 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 M (*.f64 D D))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (/.f64 (*.f64 (*.f64 D (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) d))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 D (/.f64 D d)) (neg.f64 M)) M))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) #s(literal -1/8 binary64)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M M))) (*.f64 D D)) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 h l) l) l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (/.f64 #s(literal 1/8 binary64) d) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 M (*.f64 M (*.f64 D D))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
Calls

1 calls:

14.0ms
d
Results
AccuracySegmentsBranch
58.0%4d
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes38.0ms (0.2%)

Memory
9.1MiB live, 46.1MiB allocated
Counts
33 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
Outputs
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d #s(literal 8 binary64)))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
Calls

3 calls:

17.0ms
h
10.0ms
l
10.0ms
d
Results
AccuracySegmentsBranch
57.3%4l
46.7%2h
57.3%4d
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes38.0ms (0.2%)

Memory
-13.0MiB live, 29.5MiB allocated
Counts
31 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
Outputs
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
Calls

2 calls:

27.0ms
d
9.0ms
l
Results
AccuracySegmentsBranch
56.5%4d
56.9%4l
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes37.0ms (0.2%)

Memory
4.7MiB live, 43.3MiB allocated
Counts
30 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) d) D)))
Outputs
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M D)) #s(literal 1/8 binary64)) 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 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
Calls

3 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))))
9.0ms
l
9.0ms
d
Results
AccuracySegmentsBranch
51.9%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
55.2%4d
56.1%4l
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes11.0ms (0%)

Memory
20.0MiB live, 20.0MiB allocated
Counts
29 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
Outputs
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
Calls

1 calls:

9.0ms
l
Results
AccuracySegmentsBranch
55.7%4l
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes34.0ms (0.2%)

Memory
-6.5MiB live, 32.4MiB allocated
Counts
26 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
Outputs
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
Calls

2 calls:

24.0ms
l
8.0ms
d
Results
AccuracySegmentsBranch
50.0%3d
54.7%4l
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes47.0ms (0.2%)

Memory
16.4MiB live, 53.4MiB allocated
Counts
25 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l)))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (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 d (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))))))
(/.f64 (*.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 d))) (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 (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))
Calls

4 calls:

22.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
8.0ms
M
8.0ms
l
7.0ms
d
Results
AccuracySegmentsBranch
47.5%2d
43.3%3M
47.6%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
51.6%4l
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes10.0ms (0%)

Memory
-29.3MiB live, 12.1MiB allocated
Counts
18 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

1 calls:

8.0ms
l
Results
AccuracySegmentsBranch
51.5%4l
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes7.0ms (0%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h 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 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

1 calls:

5.0ms
l
Results
AccuracySegmentsBranch
49.2%3l
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes12.0ms (0.1%)

Memory
-17.4MiB live, 21.7MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.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 d (/.f64 (/.f64 d h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 (/.f64 d 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 d) 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 (/.f64 #s(literal 1 binary64) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d)))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

2 calls:

5.0ms
d
5.0ms
l
Results
AccuracySegmentsBranch
47.5%2d
47.3%2l
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes17.0ms (0.1%)

Memory
31.4MiB live, 31.4MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (neg d))) (sqrt (neg h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) d))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
Calls

5 calls:

3.0ms
d
3.0ms
l
3.0ms
h
3.0ms
(*.f64 M D)
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
35.7%2(*.f64 M D)
40.0%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))))
44.2%2h
45.1%2l
44.8%2d
Compiler

Compiled 66 to 43 computations (34.8% saved)

regimes37.0ms (0.2%)

Memory
-15.0MiB live, 24.1MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
Calls

5 calls:

27.0ms
d
2.0ms
h
2.0ms
l
2.0ms
D
2.0ms
M
Results
AccuracySegmentsBranch
34.2%2M
34.8%2D
38.5%2h
38.6%2d
38.6%2l
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes4.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
Calls

2 calls:

2.0ms
d
2.0ms
l
Results
AccuracySegmentsBranch
38.6%2l
38.2%2d
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes10.0ms (0%)

Memory
14.7MiB live, 14.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

1.0ms
M
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
d
1.0ms
h
Results
AccuracySegmentsBranch
31.9%1M
31.9%1D
31.9%1(*.f64 M D)
31.9%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))))
31.9%1d
31.9%1h
31.9%1l
Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch126.0ms (0.6%)

Memory
-27.8MiB live, 86.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
44.0ms
2.545322588018976e-277
3.867750099006139e-275
56.0ms
-5.105595222608185e-191
-4.781650245388211e-193
Samples
53.0ms224×0valid
26.0ms218×0invalid
Compiler

Compiled 1 240 to 709 computations (42.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 32.0ms (50.7% of total)
ival-div: 15.0ms (23.8% of total)
ival-pow: 10.0ms (15.8% of total)
ival-pow2: 4.0ms (6.3% of total)
ival-sub: 2.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch74.0ms (0.3%)

Memory
20.5MiB live, 94.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.545322588018976e-277
3.867750099006139e-275
66.0ms
-1.8122390657735827e-204
-1.960074469391258e-218
Samples
29.0ms160×0valid
20.0ms169×0invalid
Compiler

Compiled 1 471 to 849 computations (42.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 11.0ms (28.9% of total)
ival-mult: 10.0ms (26.3% of total)
ival-pow: 7.0ms (18.4% of total)
ival-pow2: 7.0ms (18.4% of total)
ival-sub: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.545322588018976e-277
3.867750099006139e-275
1.0ms
-1.8122390657735827e-204
-1.960074469391258e-218
Compiler

Compiled 1 457 to 849 computations (41.7% saved)

bsearch89.0ms (0.4%)

Memory
-11.9MiB live, 73.7MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.545322588018976e-277
3.867750099006139e-275
1.0ms
-5.105595222608185e-191
-4.781650245388211e-193
81.0ms
-9.741776020219927e+256
-4.673588716225824e+253
Samples
36.0ms128×0valid
21.0ms172×0invalid
Compiler

Compiled 1 656 to 993 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 26.0ms (56.6% of total)
ival-mult: 9.0ms (19.6% of total)
ival-pow: 6.0ms (13.1% of total)
ival-pow2: 3.0ms (6.5% of total)
ival-sub: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch76.0ms (0.3%)

Memory
3.9MiB live, 80.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
70.0ms
1.1451770041842497e+173
1.900126333840119e+178
Samples
29.0ms144×0valid
18.0ms128×0invalid
Compiler

Compiled 556 to 363 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 9.0ms (29.6% of total)
ival-pow: 9.0ms (29.6% of total)
ival-mult: 8.0ms (26.3% of total)
ival-pow2: 3.0ms (9.9% of total)
ival-sub: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch87.0ms (0.4%)

Memory
9.6MiB live, 130.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.6978472280506476e+82
2.330063381318254e+82
63.0ms
-1.816666985164231e+149
-2.6173243293650568e+146
Samples
31.0ms176×0valid
29.0ms204×0invalid
Compiler

Compiled 778 to 474 computations (39.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 17.0ms (36.4% of total)
ival-mult: 12.0ms (25.7% of total)
ival-pow: 11.0ms (23.5% of total)
ival-pow2: 4.0ms (8.6% of total)
ival-sub: 2.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch292.0ms (1.3%)

Memory
1.9MiB live, 351.4MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
97.0ms
6.50170077693613e+112
5.5994982956797674e+119
86.0ms
2.1674626731660238e-52
2.6323439498276312e-46
84.0ms
-5.253052695178736e-12
-1.7740916453413877e-40
Samples
133.0ms464×0valid
103.0ms455×0invalid
Compiler

Compiled 1 958 to 1 210 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-div: 58.0ms (32.8% of total)
ival-mult: 43.0ms (24.4% of total)
ival-pow: 37.0ms (21% of total)
ival-pow2: 32.0ms (18.1% of total)
ival-sub: 4.0ms (2.3% of total)
ival-true: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-6.114756583299258e-160
0.0
Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch251.0ms (1.1%)

Memory
-9.3MiB live, 165.6MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
71.0ms
7.136453351142035e-9
8.871261902011977e-8
73.0ms
1.3846380014222866e-305
1.3657457334726412e-302
94.0ms
-5.698899530344386e-45
-2.3107117848252713e-48
Samples
114.0ms332×0invalid
101.0ms352×0valid
Compiler

Compiled 1 175 to 792 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-div: 79.0ms (46.6% of total)
ival-mult: 64.0ms (37.8% of total)
ival-pow: 15.0ms (8.9% of total)
ival-pow2: 6.0ms (3.5% of total)
ival-sub: 3.0ms (1.8% of total)
ival-true: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)

bsearch155.0ms (0.7%)

Memory
0.2MiB live, 200.3MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
7.136453351142035e-9
8.871261902011977e-8
59.0ms
3.812572925330739e-104
2.85534688608319e-87
61.0ms
-1.232979680352871e-307
1.3846380014222866e-305
1.0ms
-5.698899530344386e-45
-2.3107117848252713e-48
Samples
56.0ms352×0valid
48.0ms289×0invalid
Compiler

Compiled 1 729 to 1 112 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-div: 35.0ms (44% of total)
ival-mult: 20.0ms (25.1% of total)
ival-pow: 15.0ms (18.9% of total)
ival-pow2: 6.0ms (7.5% of total)
ival-sub: 3.0ms (3.8% of total)
ival-true: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.1%)

Memory
-9.7MiB live, 66.7MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
3.812572925330739e-104
2.85534688608319e-87
1.0ms
-1.232979680352871e-307
1.3846380014222866e-305
1.0ms
-5.698899530344386e-45
-2.3107117848252713e-48
Samples
12.0ms80×0valid
6.0ms48×0invalid
Compiler

Compiled 1 249 to 824 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (29.7% of total)
ival-mult: 4.0ms (29.7% of total)
ival-pow: 3.0ms (22.3% of total)
ival-sub: 1.0ms (7.4% of total)
ival-pow2: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch203.0ms (0.9%)

Memory
6.6MiB live, 326.9MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
42.0ms
5.093493124392095e-150
1.089019046042697e-147
63.0ms
-8.268284807314642e-308
1.9094225319911434e-298
81.0ms
-1.2333815811493348e-137
-3.0148133064287012e-142
Samples
92.0ms400×0valid
67.0ms448×0invalid
Compiler

Compiled 1 252 to 821 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-mult: 53.0ms (42.7% of total)
ival-div: 30.0ms (24.2% of total)
ival-pow: 27.0ms (21.8% of total)
ival-pow2: 8.0ms (6.4% of total)
ival-sub: 4.0ms (3.2% of total)
ival-true: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.093493124392095e-150
1.089019046042697e-147
1.0ms
-8.268284807314642e-308
1.9094225319911434e-298
1.0ms
-1.2333815811493348e-137
-3.0148133064287012e-142
Compiler

Compiled 1 252 to 821 computations (34.4% saved)

bsearch3.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.093493124392095e-150
1.089019046042697e-147
1.0ms
-8.268284807314642e-308
1.9094225319911434e-298
1.0ms
-1.2333815811493348e-137
-3.0148133064287012e-142
Compiler

Compiled 1 252 to 821 computations (34.4% saved)

bsearch5.0ms (0%)

Memory
-32.4MiB live, 6.7MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
3.0ms
5.093493124392095e-150
1.089019046042697e-147
1.0ms
-8.268284807314642e-308
1.9094225319911434e-298
1.0ms
-1.2333815811493348e-137
-3.0148133064287012e-142
Compiler

Compiled 1 252 to 821 computations (34.4% saved)

bsearch96.0ms (0.4%)

Memory
37.3MiB live, 197.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.093493124392095e-150
1.089019046042697e-147
52.0ms
9.6872226562537e-294
2.006609665606893e-287
34.0ms
-1.2333815811493348e-137
-3.0148133064287012e-142
Samples
37.0ms224×0valid
34.0ms226×0invalid
Compiler

Compiled 1 113 to 719 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 19.0ms (34.4% of total)
ival-pow: 15.0ms (27.2% of total)
ival-mult: 14.0ms (25.4% of total)
ival-pow2: 4.0ms (7.2% of total)
ival-sub: 2.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch216.0ms (1%)

Memory
-35.1MiB live, 335.0MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
5.093493124392095e-150
1.089019046042697e-147
68.0ms
-1.6870744040601313e-286
-2.6268378975151476e-300
103.0ms
-2.0095634957392593e+254
-1.9279816177095435e+244
Samples
99.0ms449×0invalid
65.0ms368×0valid
Compiler

Compiled 924 to 641 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-sub: 38.0ms (28.7% of total)
ival-div: 31.0ms (23.4% of total)
ival-mult: 26.0ms (19.6% of total)
ival-pow: 26.0ms (19.6% of total)
ival-pow2: 8.0ms (6% of total)
ival-true: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
5.093493124392095e-150
1.089019046042697e-147
1.0ms
-1.6870744040601313e-286
-2.6268378975151476e-300
1.0ms
-2.0095634957392593e+254
-1.9279816177095435e+244
Compiler

Compiled 910 to 627 computations (31.1% saved)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.093493124392095e-150
1.089019046042697e-147
1.0ms
-2.0095634957392593e+254
-1.9279816177095435e+244
Compiler

Compiled 573 to 404 computations (29.5% saved)

bsearch48.0ms (0.2%)

Memory
-3.3MiB live, 71.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
43.0ms
3.2039528837211084e-159
7.21359946571039e-155
Samples
22.0ms128×0valid
10.0ms87×0invalid
Compiler

Compiled 283 to 206 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-pow: 8.0ms (32.2% of total)
ival-div: 7.0ms (28.2% of total)
ival-mult: 7.0ms (28.2% of total)
ival-pow2: 2.0ms (8% of total)
ival-sub: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.093493124392095e-150
1.089019046042697e-147
Compiler

Compiled 260 to 191 computations (26.5% saved)

bsearch51.0ms (0.2%)

Memory
-8.6MiB live, 73.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
-2.6826074084735006e-135
-3.4987851611446755e-136
Samples
20.0ms142×0invalid
15.0ms96×0valid
Compiler

Compiled 223 to 156 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 8.0ms (34.3% of total)
ival-mult: 7.0ms (30% of total)
ival-pow: 4.0ms (17.1% of total)
ival-pow2: 2.0ms (8.6% of total)
ival-sub: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.1%)

Memory
33.2MiB live, 33.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-1.2333815811493348e-137
-3.0148133064287012e-142
Samples
9.0ms67×0invalid
5.0ms32×0valid
Compiler

Compiled 267 to 182 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (28.3% of total)
ival-mult: 3.0ms (28.3% of total)
ival-pow: 3.0ms (28.3% of total)
ival-pow2: 1.0ms (9.4% 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)

simplify72.0ms (0.3%)

Memory
-33.4MiB live, 82.7MiB allocated
Algorithm
1×egg-herbie
Rules
254×*-commutative_binary64
222×neg-mul-1_binary64
160×unsub-neg_binary64
136×distribute-rgt-neg-in_binary64
134×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03563939
14753939
25483939
36253939
47013939
57533939
69153939
711513939
811653939
911663939
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 d #s(literal -8732647492804917/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal 8981281392906239/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) (*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))))
(if (<=.f64 d #s(literal -3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal 8981281392906239/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) (*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))))
(if (<=.f64 d #s(literal -3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal 8981281392906239/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))))
(if (<=.f64 d #s(literal -1999999999999999976905139389282906579782825695533667793354736930857696261802069818591759239817890633118585175139916931349309985855457249115766978327499080492713782258213467183862609667387277131256364612156226766545565568781988099212151532024379513329680384 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (if (<=.f64 d #s(literal -8732647492804917/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal 8981281392906239/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))))))
(if (<=.f64 l #s(literal 117999999999999996713969662890326220916336549934149264156726034571945244603393436954066185181095152948399555925010880665654383144832287047322034611263634048812477145103204352 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 l #s(literal -7800000000000000325234191950579772196497448136289448085833099218106588996536979287070161544269543657727606067503001599309444776276023013636007002112 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 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h)) (if (<=.f64 l #s(literal 22999999999999998821356987611656123252024740830383822505000531558125142939753512960 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))))))
(if (<=.f64 l #s(literal -3739289119712769/6129982163463555433433388108601236734474956488734408704 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 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) h)) (if (<=.f64 l #s(literal 5931188266773141/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 M D)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))) (if (<=.f64 l #s(literal 65999999999999997951100132818701120952870035312635009574510346114855040833133961151492630610270739513564209348608 binary64)) #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 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) #s(literal 1 binary64))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l)))))))
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(if (<=.f64 l #s(literal -589999999999999973319363100545748937863822686251413827287265563200102966961586910897500168746240039537755113792645314882856835280435674640768818772082304416281784822134423685543696801071250571550688302860788661973178532727297862368478895330859941888 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)) (if (<=.f64 l #s(literal -1075280317483563/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (if (<=.f64 l #s(literal 4606887725612233/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.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 (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))))
(if (<=.f64 l #s(literal -589999999999999973319363100545748937863822686251413827287265563200102966961586910897500168746240039537755113792645314882856835280435674640768818772082304416281784822134423685543696801071250571550688302860788661973178532727297862368478895330859941888 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (*.f64 d (sqrt.f64 (/.f64 h l)))) h)) (if (<=.f64 l #s(literal 4606887725612233/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(if (<=.f64 d #s(literal 6727386920068443/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 l #s(literal 4606887725612233/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
(if (<=.f64 d #s(literal -8510815580529969/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
(if (<=.f64 l #s(literal -2265383227843101/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
Outputs
(if (<=.f64 d #s(literal -8732647492804917/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal 8981281392906239/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) (*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))))
(if (<=.f64 d #s(literal -8732647492804917/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h))))) (if (<=.f64 d #s(literal 8981281392906239/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))) (*.f64 M (*.f64 M D))) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)) (*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) l)))))))
(if (<=.f64 d #s(literal -3974446316289815/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal 8981281392906239/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) D) (*.f64 M (*.f64 M D))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)) (*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))

soundness2.5s (11.1%)

Memory
19.3MiB live, 2 409.3MiB allocated
Rules
9 240×lower-*.f64
9 240×lower-*.f32
9 232×lower-*.f64
9 232×lower-*.f32
7 638×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023421984
169621179
2248621125
3557920590
0876620230
0125674
0188640
1613580
24416574
08231564
0125716
0193574
1659506
25577490
08063482
01203277
13213193
211473183
326353164
454943164
085383125
037116234
1110915688
2395715573
0848715243
02264
03860
112459
282859
0872658
036522561
1109921817
2396821694
0847621241
082398
0137367
1408331
22680318
08787318
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 6 819 to 2 769 computations (59.4% saved)

preprocess175.0ms (0.8%)

Memory
26.6MiB live, 419.0MiB allocated
Remove

(abs D)

Compiler

Compiled 4 862 to 1 276 computations (73.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...