Henrywood and Agarwal, Equation (12)

Time bar (total: 9.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze434.0ms (4.7%)

Memory
-5.0MiB live, 559.7MiB allocated; 115ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
12.5%12.5%87.3%0.2%0%0%0%4
12.5%12.5%87.3%0.2%0%0%0%5
12.5%12.5%87.3%0.2%0%0%0%6
15.4%12.5%68.6%0.2%0%18.7%0%7
16.7%12.5%62.3%0.2%0%24.9%0%8
20%14%56.1%0.2%0%29.6%0%9
20%14%56.1%0.2%0%29.6%0%10
20%14%56.1%0.2%0%29.6%0%11
22.9%14.8%49.9%0.2%0%35.1%0%12
Compiler

Compiled 37 to 24 computations (35.1% saved)

sample4.8s (51.7%)

Memory
109.4MiB live, 6 529.9MiB allocated; 1.1s collecting garbage
Samples
2.0s13 198×0invalid
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-mult!: 750.0ms (30.7% of total)
ival-pow: 695.0ms (28.4% of total)
ival-div!: 579.0ms (23.7% of total)
ival-pow2: 352.0ms (14.4% of total)
ival-sub!: 63.0ms (2.6% of total)
adjust: 5.0ms (0.2% of total)
Bogosity

explain360.0ms (3.9%)

Memory
20.0MiB live, 498.5MiB allocated; 29ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
690-1(8.762995184826201e-46 2.0102003736975782e-276 9.962889884472247e+264 4.148010727407903e-227 -2.6464168118316964e+175)(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
540-1(2.7902410755261777e-292 2.0268591938055022e+31 7.873134226049458e-238 5.704595919753347e-145 -5856.215799644463)(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
440-2(1.6958923030019983e+153 4.0309038309766526e-134 5.805457010223197e+187 3.2162861534779546e-41 1.152486424188992e+228)(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
190-1(1.6322147670651853e-300 398179.7392709837 1.1394200864073093e-51 4.419036059731251e-49 -1.1637319080086064e-265)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
180-0-(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
00-0-D
00-0-(*.f64 #s(literal 2 binary64) d)
00-0-(/.f64 h l)
00-0-(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
00-0-d
00-0-#s(literal 1 binary64)
00-0-(/.f64 d l)
00-0-(*.f64 M D)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(/.f64 d h)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
00-0-#s(literal 2 binary64)
00-0-l
00-0-(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
00-0-M
00-0-h
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue380
(/.f64 d l)overflow38
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue330
(/.f64 d h)overflow33
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue300
(/.f64 d l)underflow30
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue200
(/.f64 d h)underflow20
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n120
(*.f64 M D)overflow38
*.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*o100
*.f64(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))n*o90
*.f64(*.f64 (*.f64 (/.f64 #s(literal 1 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*u80
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow82
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))overflow82
(*.f64 M D)overflow38
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow44
(/.f64 h l)underflow36
*.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*o60
(/.f64 d h)underflow20
(/.f64 d l)underflow30
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))underflow14
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow82
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))overflow82
(/.f64 h l)overflow28
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))overflow79
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))overflow79
(*.f64 M D)overflow38
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow44
*.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*u20
Confusion
Predicted +Predicted -
+775
-43131
Precision
0.6416666666666667
Recall
0.9390243902439024
Confusion?
Predicted +Predicted MaybePredicted -
+7705
-430131
Precision?
0.6416666666666667
Recall?
0.9390243902439024
Freqs
test
numberfreq
0136
179
234
37
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
113.0ms512×0valid
Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult!: 26.0ms (30.8% of total)
ival-pow2: 23.0ms (27.3% of total)
ival-pow: 21.0ms (24.9% of total)
ival-div!: 13.0ms (15.4% of total)
ival-sub!: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)

preprocess185.0ms (2%)

Memory
-15.9MiB live, 123.4MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0171588
1546580
22128575
36640575
02229
03827
16727
218027
3120227
4487227
0824126
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
Symmetry

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 35 to 22 computations (37.1% saved)

series84.0ms (0.9%)

Memory
28.1MiB live, 120.8MiB allocated; 11ms collecting garbage
Counts
22 → 48
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
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole 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)))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx h #s(hole binary64 h))
#s(approx (/ h l) #s(hole 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)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole 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)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
Calls

15 calls:

TimeVariablePointExpression
10.0ms
h
@0
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
10.0ms
D
@0
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
10.0ms
d
@0
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
7.0ms
d
@-inf
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
6.0ms
M
@inf
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))

rewrite73.0ms (0.8%)

Memory
-3.3MiB live, 89.2MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02291681
02541533
09811518
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
70 → 102
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)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole 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)))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx h #s(hole binary64 h))
#s(approx (/ h l) #s(hole 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)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole 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)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(sqrt.f64 (/.f64 d h))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 d) (neg.f64 h))
(/.f64 d h)
d
h
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 (/.f64 d l))
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 d) (neg.f64 l))
(/.f64 d l)
l
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l)))
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 (*.f64 #s(literal 2 binary64) d)))
(/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d))
(*.f64 D M)
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(+.f64 d d)
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d))
#s(approx (pow (/ d h) (/ 1 2)) (sqrt.f64 (/.f64 d h)))
#s(approx (/ d h) (/.f64 d h))
#s(approx d d)
#s(approx (pow (/ d l) (/ 1 2)) (sqrt.f64 (/.f64 d l)))
#s(approx (/ d l) (/.f64 d l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 d d (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l))) (*.f64 d d)))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d d)))
#s(approx (pow (/ (* M D) (* 2 d)) 2) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d d)))
#s(approx (/ (* M D) (* 2 d)) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))
#s(approx (* 2 d) (*.f64 #s(literal 2 binary64) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))) d))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))))
#s(approx (pow (/ d h) (/ 1 2)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h)))))
#s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (*.f64 #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx h h)
#s(approx (/ h l) (/.f64 h l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #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 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) d)))) h)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (pow (/ d h) (/ 1 2)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx l l)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))))
#s(approx (pow (/ d l) (/ 1 2)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#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 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))
#s(approx D D)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D)))

eval15.0ms (0.2%)

Memory
-18.4MiB live, 26.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 853 to 488 computations (89.9% saved)

prune19.0ms (0.2%)

Memory
-9.3MiB live, 37.9MiB allocated; 1ms collecting garbage
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New9820118
Fresh000
Picked101
Done000
Total9920119
Accuracy
92.1%
Counts
119 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.1%
(*.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
69.4%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
45.4%
(*.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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))
57.8%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l)))
22.5%
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))))
41.6%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D))))
41.9%
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
39.9%
(*.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) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
69.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 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))))
41.8%
(*.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))))
69.4%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
33.6%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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))))
41.9%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
46.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
18.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
31.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
16.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
19.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
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 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
31.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d))
Compiler

Compiled 1 892 to 1 212 computations (35.9% saved)

series829.0ms (8.9%)

Memory
-110.6MiB live, 325.6MiB allocated; 1.3s collecting garbage
Counts
63 → 174
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 h l)
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(/.f64 M #s(literal 2 binary64))
M
#s(literal 2 binary64)
(/.f64 D d)
D
#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 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
(pow.f64 (*.f64 l h) #s(literal -1 binary64))
(*.f64 l h)
#s(literal -1 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d))
#s(literal -1/8 binary64)
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(*.f64 D M)
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
(/.f64 h (pow.f64 l #s(literal 3 binary64)))
(pow.f64 l #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (/.f64 h l)) d)
(sqrt.f64 (/.f64 h l))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (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 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 d)
(sqrt.f64 l)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #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)
(*.f64 #s(literal 2 binary64) d)
Outputs
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (/ D d) #s(hole 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)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) d))))
#s(approx (/ (* (pow (* D M) 2) -1) d) #s(hole binary64 (* -1 (/ (* (pow D 2) (pow M 2)) d))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)))
#s(approx (* -1/8 (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) d))))
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d)))
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ (sqrt d) (sqrt l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (sqrt d) #s(hole binary64 (sqrt d)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (sqrt (/ d l))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole 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)))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -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)))))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole 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)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole 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)))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt d) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt d) #s(hole binary64 (* -1 (* (sqrt d) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx h #s(hole binary64 h))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
#s(approx (/ h l) #s(hole 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)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (pow (* l h) -1) #s(hole binary64 (/ 1 (* h l))))
#s(approx (* l h) #s(hole binary64 (* h l)))
#s(approx (sqrt (/ h (pow l 3))) #s(hole binary64 (sqrt (/ h (pow l 3)))))
#s(approx (/ h (pow l 3)) #s(hole binary64 (/ h (pow l 3))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (sqrt (/ (pow h 3) (pow l 3)))))
#s(approx (pow (/ h l) 3) #s(hole binary64 (/ (pow h 3) (pow l 3))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (sqrt (/ h (pow l 3))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (pow l 3) #s(hole binary64 (pow l 3)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (* -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)))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* 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)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* (sqrt l) (pow (sqrt -1) 2)))))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (pow (* D M) 2) -1) #s(hole binary64 (* -1 (* (pow D 2) (pow M 2)))))
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
Calls

15 calls:

TimeVariablePointExpression
658.0ms
M
@0
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d))
32.0ms
M
@inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d))
14.0ms
h
@inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d))
14.0ms
d
@-inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d))
13.0ms
D
@0
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (* (pow (* D M) 2) -1) d)) -1/8 (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (pow (/ d h) (/ 1 2)) (/ 1 2) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d))

rewrite105.0ms (1.1%)

Memory
12.7MiB live, 149.9MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05587052
06466351
022296285
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
237 → 386
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 h l)
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(/.f64 M #s(literal 2 binary64))
M
#s(literal 2 binary64)
(/.f64 D d)
D
#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 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
(pow.f64 (*.f64 l h) #s(literal -1 binary64))
(*.f64 l h)
#s(literal -1 binary64)
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(*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d))
#s(literal -1/8 binary64)
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(*.f64 D M)
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
(/.f64 h (pow.f64 l #s(literal 3 binary64)))
(pow.f64 l #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
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(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (/.f64 h l)) d)
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(*.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 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 d)
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(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
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(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
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#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
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#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (/ D d) #s(hole 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)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) d))))
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#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
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#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)))
#s(approx (* -1/8 (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) d))))
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d)))
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ (sqrt d) (sqrt l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (sqrt d) #s(hole binary64 (sqrt d)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (sqrt (/ d l))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
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#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (sqrt (/ h l)))))
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#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -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)))))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole 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)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole 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)))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (/ (sqrt d) (sqrt l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt d) #s(hole binary64 (* -1 (* (sqrt d) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx h #s(hole binary64 h))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
#s(approx (/ h l) #s(hole 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)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (pow (* l h) -1) #s(hole binary64 (/ 1 (* h l))))
#s(approx (* l h) #s(hole binary64 (* h l)))
#s(approx (sqrt (/ h (pow l 3))) #s(hole binary64 (sqrt (/ h (pow l 3)))))
#s(approx (/ h (pow l 3)) #s(hole binary64 (/ h (pow l 3))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (sqrt (/ (pow h 3) (pow l 3)))))
#s(approx (pow (/ h l) 3) #s(hole binary64 (/ (pow h 3) (pow l 3))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (sqrt (/ h (pow l 3))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (pow l 3) #s(hole binary64 (pow l 3)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (* -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)))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* 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)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* (sqrt l) (pow (sqrt -1) 2)))))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (pow (* D M) 2) -1) #s(hole binary64 (* -1 (* (pow D 2) (pow M 2)))))
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(sqrt.f64 (/.f64 d h))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 d) (neg.f64 h))
(/.f64 d h)
d
h
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 (/.f64 d l))
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 d) (neg.f64 l))
(/.f64 d l)
l
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 h l)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 h (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) l)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) h) l)
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 h l)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))))
(pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d)
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 (*.f64 #s(literal 2 binary64) d)))
(/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 M) #s(literal -2 binary64))
(/.f64 M #s(literal 2 binary64))
M
#s(literal 2 binary64)
(/.f64 (neg.f64 D) (neg.f64 d))
(/.f64 D d)
D
#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 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)
(*.f64 d (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 l h) #s(literal -1 binary64))
(/.f64 (pow.f64 h #s(literal -1 binary64)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))
(*.f64 l h)
(*.f64 h 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 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64))
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) #s(literal -1/8 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
(*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d))
(/.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) d)
#s(literal -1/8 binary64)
(*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) d))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) (neg.f64 d))
(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d)
(neg.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 D D)) (*.f64 M M))
(*.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) (*.f64 D D))
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 D M) #s(literal 1 binary64)) (pow.f64 (*.f64 D M) #s(literal 1 binary64)))
(*.f64 (*.f64 D M) (*.f64 D M))
(*.f64 (*.f64 M M) (*.f64 D D))
(*.f64 (*.f64 D D) (*.f64 M M))
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 D M)) #s(literal 2 binary64)))
(*.f64 D M)
(*.f64 M D)
(pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 h) (sqrt.f64 (pow.f64 l #s(literal 3 binary64))))
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))
(/.f64 (neg.f64 h) (neg.f64 (pow.f64 l #s(literal 3 binary64))))
(/.f64 h (pow.f64 l #s(literal 3 binary64)))
(*.f64 (pow.f64 l #s(literal 3/2 binary64)) (pow.f64 l #s(literal 3/2 binary64)))
(*.f64 (*.f64 l l) l)
(*.f64 l (*.f64 l l))
(pow.f64 l #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 l) #s(literal 3 binary64)))
#s(literal 3 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (neg.f64 h))
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) h) (/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) h))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)))))
(fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 h l))) d))
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l))))
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(+.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d)
(*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))
(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (neg.f64 d))
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64))
(/.f64 (sqrt.f64 (pow.f64 h #s(literal 3 binary64))) (sqrt.f64 (pow.f64 l #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(*.f64 (*.f64 (/.f64 h l) (/.f64 h l)) (/.f64 h l))
(*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))
(*.f64 (/.f64 h l) (*.f64 (/.f64 h l) (/.f64 h l)))
(pow.f64 (/.f64 h l) #s(literal 3 binary64))
(/.f64 (neg.f64 (pow.f64 h #s(literal 3 binary64))) (neg.f64 (pow.f64 l #s(literal 3 binary64))))
(/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 h l)) d)
(*.f64 d (sqrt.f64 (/.f64 h l)))
(pow.f64 (/.f64 h l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 h) (sqrt.f64 l))
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#s(approx h h)
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#s(approx (/ h l) (/.f64 h l))
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#s(approx (sqrt (pow (* l h) -1)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
#s(approx (pow (* l h) -1) (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
#s(approx (* l h) (*.f64 l h))
#s(approx (sqrt (/ h (pow l 3))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))
#s(approx (/ h (pow l 3)) (/.f64 h (pow.f64 l #s(literal 3 binary64))))
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#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
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#s(approx (pow (/ d h) (/ 1 2)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)))
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#s(approx l l)
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#s(approx (pow l 3) (pow.f64 l #s(literal 3 binary64)))
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#s(approx (sqrt l) (sqrt.f64 l))
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#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))
#s(approx (sqrt (/ d l)) (*.f64 (sqrt.f64 (/.f64 d 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 (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (fma.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal 1/8 binary64) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))))
#s(approx (sqrt (pow (/ h l) 3)) (neg.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64))))
#s(approx (* (sqrt (/ h l)) d) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l)))))
#s(approx (sqrt (/ h l)) (neg.f64 (sqrt.f64 (/.f64 h l))))
#s(approx (sqrt l) (neg.f64 (*.f64 (sqrt.f64 l) #s(literal -1 binary64))))
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))
#s(approx M M)
#s(approx (* (pow (* D M) 2) -1) (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))))
#s(approx (pow (* D M) 2) (pow.f64 (*.f64 D M) #s(literal 2 binary64)))
#s(approx (* M D) (*.f64 D M))
#s(approx (* M D) (*.f64 D M))
#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 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 M #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))
#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 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M)))
#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 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))
#s(approx D D)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D)))

eval66.0ms (0.7%)

Memory
-41.4MiB live, 104.8MiB allocated; 22ms collecting garbage
Compiler

Compiled 19 157 to 1 487 computations (92.2% saved)

prune46.0ms (0.5%)

Memory
7.1MiB live, 107.1MiB allocated; 5ms collecting garbage
Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New35628384
Fresh9615
Picked505
Done000
Total37034404
Accuracy
97.0%
Counts
404 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.1%
(*.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
39.9%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (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))))
42.2%
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
69.4%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
45.4%
(*.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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))
38.9%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
69.3%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
69.4%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
57.8%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l))))
22.6%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
15.5%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
42.3%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l)))) h)))
15.3%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))))))
10.3%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))
41.9%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
33.6%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
18.5%
#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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
46.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
47.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
42.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h))
34.8%
#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(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
40.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
13.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h))
31.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
31.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
31.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
16.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
17.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
19.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
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 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
31.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
31.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
30.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
24.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
Compiler

Compiled 3 418 to 2 212 computations (35.3% saved)

series123.0ms (1.3%)

Memory
15.7MiB live, 252.2MiB allocated; 11ms collecting garbage
Counts
54 → 189
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 h l)
(*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))))
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))
(/.f64 D d)
D
(/.f64 M #s(literal 2 binary64))
M
#s(literal 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
(*.f64 l h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) d)
#s(literal -1 binary64)
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
(pow.f64 (*.f64 l h) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(*.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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
(/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h)
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d))
(/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)
(fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d)))
(*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(*.f64 D M)
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))
(sqrt.f64 (/.f64 h l))
(*.f64 d d)
Outputs
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ D d) (/ M 2)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (/ D d) #s(hole 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)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* -1 d) (sqrt (pow (* l h) -1))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* -1 d) #s(hole binary64 (* -1 d)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l))))))
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* (pow d 2) (sqrt (/ h l)))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (sqrt (/ d l))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow d 2) (sqrt (/ h l)))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow d 2) (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole 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)))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -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)))))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole 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)))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole 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)))))))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx h #s(hole binary64 h))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
#s(approx (/ h l) #s(hole 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)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (/ 1 (* l h)) #s(hole binary64 (/ 1 (* h l))))
#s(approx (* l h) #s(hole binary64 (* h l)))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (pow (* l h) -1) #s(hole binary64 (/ 1 (* h l))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))))
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (sqrt (/ (pow h 3) (pow l 3)))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h))))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* (pow d 2) (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (* (* -1 d) (sqrt (pow (* l h) -1))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* -1 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (* (pow h 3) l)))) (* (pow d 2) (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (+ (* -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)))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* 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)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (+ (* 1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))) (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx M #s(hole binary64 M))
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (pow D 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ (pow d 2) (pow M 2)) (sqrt (/ h l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (pow M 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ (pow d 2) (pow D 2)) (sqrt (/ h l)))))))
Calls

15 calls:

TimeVariablePointExpression
10.0ms
h
@-inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (pow (/ h l) 3/2) 3/2 (pow (* D M) 2) (* D M) -1/8 (* (sqrt (/ h l)) (* d d)) (sqrt (/ h l)) (* d d))
9.0ms
d
@-inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (pow (/ h l) 3/2) 3/2 (pow (* D M) 2) (* D M) -1/8 (* (sqrt (/ h l)) (* d d)) (sqrt (/ h l)) (* d d))
9.0ms
d
@inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (pow (/ h l) 3/2) 3/2 (pow (* D M) 2) (* D M) -1/8 (* (sqrt (/ h l)) (* d d)) (sqrt (/ h l)) (* d d))
9.0ms
M
@inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (pow (/ h l) 3/2) 3/2 (pow (* D M) 2) (* D M) -1/8 (* (sqrt (/ h l)) (* d d)) (sqrt (/ h l)) (* d d))
9.0ms
l
@-inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (pow (/ h l) 3/2) 3/2 (pow (* D M) 2) (* D M) -1/8 (* (sqrt (/ h l)) (* d d)) (sqrt (/ h l)) (* d d))

rewrite113.0ms (1.2%)

Memory
-13.9MiB live, 172.7MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06008659
06737537
024997418
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
243 → 390
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 h l)
(*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))))
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))
(/.f64 D d)
D
(/.f64 M #s(literal 2 binary64))
M
#s(literal 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
(*.f64 l h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) d)
#s(literal -1 binary64)
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
(pow.f64 (*.f64 l h) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
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#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (* (* -1 d) (sqrt (pow (* l h) -1))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* -1 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (* (pow h 3) l)))) (* (pow d 2) (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (+ (* -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)))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* 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)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (+ (* 1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))) (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx M #s(hole binary64 M))
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (pow D 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ (pow d 2) (pow M 2)) (sqrt (/ h l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (pow M 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ (pow d 2) (pow D 2)) (sqrt (/ h l)))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l))))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(sqrt.f64 (/.f64 d h))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 d) (neg.f64 h))
(/.f64 d h)
d
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#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
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#s(approx h h)
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#s(approx (/ h l) (/.f64 h l))
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#s(approx (sqrt (pow (* l h) -1)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
#s(approx (pow (* l h) -1) (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
#s(approx (* l h) (*.f64 l h))
#s(approx (sqrt (pow (* l h) -1)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
#s(approx (pow (* l h) -1) (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
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#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
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#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 M D) #s(literal 2 binary64))))
#s(approx (pow (/ h l) 3/2) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))
#s(approx (sqrt (/ h l)) (sqrt.f64 (/.f64 h l)))
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#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 h h) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 (*.f64 h h) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (*.f64 d d))) (*.f64 h h)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
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#s(approx (sqrt (/ d h)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)))
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#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)))))) h)))
#s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (* (* -1 d) (sqrt (pow (* l h) -1))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)))))) h)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
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#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)))))) (*.f64 h h)))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)))))) (*.f64 h h)))
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#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
#s(approx (pow (/ h l) 3/2) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
#s(approx (* (sqrt (/ h l)) (* d d)) (neg.f64 (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))))
#s(approx (sqrt (/ h l)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 h l)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (sqrt.f64 (/.f64 l (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) d))) (*.f64 l l)))
#s(approx l l)
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h)) (*.f64 d d))) (*.f64 l l)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))
#s(approx (sqrt (/ d l)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l)))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))))
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) (neg.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))))
#s(approx (pow (/ h l) 3/2) (neg.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64))))
#s(approx (* (sqrt (/ h l)) (* d d)) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l)))))
#s(approx (sqrt (/ h l)) (neg.f64 (sqrt.f64 (/.f64 h l))))
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))
#s(approx M M)
#s(approx (pow (* D M) 2) (pow.f64 (*.f64 M D) #s(literal 2 binary64)))
#s(approx (* D M) (*.f64 M D))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 M #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 M M)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M)))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M)))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 (*.f64 d d) (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M)))
#s(approx D D)
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 D D)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D)))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D)))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 (*.f64 d d) (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D)))

eval50.0ms (0.5%)

Memory
18.1MiB live, 109.6MiB allocated; 12ms collecting garbage
Compiler

Compiled 23 643 to 1 770 computations (92.5% saved)

prune59.0ms (0.6%)

Memory
-14.8MiB live, 95.5MiB allocated; 9ms collecting garbage
Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New39621417
Fresh181129
Picked415
Done000
Total41833451
Accuracy
97.0%
Counts
451 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.2%
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
59.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
33.6%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
69.4%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
45.4%
(*.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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))
38.9%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
69.3%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
69.4%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
68.3%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
57.8%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l))))
22.6%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))))
15.5%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
42.3%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l)))) h)))
15.3%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))))))
10.3%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))
41.9%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
18.5%
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
31.5%
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
16.2%
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
24.3%
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
47.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
38.4%
#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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 M M))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
28.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
13.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h))
40.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
13.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
31.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
17.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
19.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
31.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
31.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
30.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
24.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
Compiler

Compiled 3 298 to 2 130 computations (35.4% saved)

series144.0ms (1.5%)

Memory
6.1MiB live, 194.6MiB allocated; 15ms collecting garbage
Counts
54 → 157
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))
(/.f64 h l)
(*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))))
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))
(/.f64 D d)
D
(/.f64 M #s(literal 2 binary64))
M
#s(literal 2 binary64)
(*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))
(*.f64 #s(literal 1/2 binary64) M)
#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))
(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h))
#s(literal -1/8 binary64)
(*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)
(pow.f64 (*.f64 M D) #s(literal 2 binary64))
(*.f64 M D)
(*.f64 (*.f64 d d) l)
(*.f64 d d)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
(neg.f64 d)
Outputs
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ D d) (/ M 2)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (/ D d) #s(hole 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)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (/ 1 (sqrt (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (pow (* l h) -1/2) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (/ (* -1/8 (* (pow (* M D) 2) h)) (* (* d d) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (* d d) l) #s(hole binary64 (* (pow d 2) l)))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (neg d) (pow (* l h) -1/2)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l)))))))
#s(approx (neg d) #s(hole binary64 (* -1 d)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (sqrt (/ d l))))
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#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
Calls

15 calls:

TimeVariablePointExpression
41.0ms
D
@inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* (/ D d) (/ M 2)) (/ M 2) (* 1/2 M) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/ (* -1/8 (* (pow (* M D) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* M D) 2) h)) -1/8 (* (pow (* M D) 2) h) (pow (* M D) 2) (* M D) (* (* d d) l) (* d d) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d))
10.0ms
h
@-inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* (/ D d) (/ M 2)) (/ M 2) (* 1/2 M) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/ (* -1/8 (* (pow (* M D) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* M D) 2) h)) -1/8 (* (pow (* M D) 2) h) (pow (* M D) 2) (* M D) (* (* d d) l) (* d d) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d))
10.0ms
l
@-inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* (/ D d) (/ M 2)) (/ M 2) (* 1/2 M) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/ (* -1/8 (* (pow (* M D) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* M D) 2) h)) -1/8 (* (pow (* M D) 2) h) (pow (* M D) 2) (* M D) (* (* d d) l) (* d d) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d))
8.0ms
d
@-inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* (/ D d) (/ M 2)) (/ M 2) (* 1/2 M) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/ (* -1/8 (* (pow (* M D) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* M D) 2) h)) -1/8 (* (pow (* M D) 2) h) (pow (* M D) 2) (* M D) (* (* d d) l) (* d d) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d))
6.0ms
d
@inf
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* (/ D d) (/ M 2)) (/ M 2) (* 1/2 M) 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/ (* -1/8 (* (pow (* M D) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* M D) 2) h)) -1/8 (* (pow (* M D) 2) h) (pow (* M D) 2) (* M D) (* (* d d) l) (* d d) (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d))

rewrite113.0ms (1.2%)

Memory
4.8MiB live, 96.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04737173
05396369
018346297
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
211 → 325
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
d
h
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64)))
(/.f64 h l)
(*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))))
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))
(/.f64 D d)
D
(/.f64 M #s(literal 2 binary64))
M
#s(literal 2 binary64)
(*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))
(*.f64 #s(literal 1/2 binary64) M)
#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))
(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h))
#s(literal -1/8 binary64)
(*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)
(pow.f64 (*.f64 M D) #s(literal 2 binary64))
(*.f64 M D)
(*.f64 (*.f64 d d) l)
(*.f64 d d)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
(neg.f64 d)
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (+ (* -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)))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (+ (* -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)))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (* -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)))))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx M #s(hole binary64 M))
#s(approx (* 1/2 M) #s(hole binary64 (* 1/2 M)))
#s(approx (pow (* M D) 2) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
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#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))))
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Outputs
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d
h
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#s(literal 1 binary64)
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(/.f64 (/.f64 (*.f64 M D) #s(literal 2 binary64)) d)
(/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) d)
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(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 D) (neg.f64 d))
(/.f64 D d)
D
(/.f64 (neg.f64 M) #s(literal -2 binary64))
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M
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(/.f64 (*.f64 D #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) d)
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))
(*.f64 #s(literal 1/2 binary64) M)
(*.f64 M #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d))
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(sqrt.f64 (*.f64 l h))
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#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
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#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))
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#s(approx (sqrt (/ d h)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h)))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (neg.f64 d) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64))) (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64))) #s(literal -1 binary64)))))
#s(approx (sqrt (/ d l)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (neg.f64 d) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64))) (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64))) #s(literal -1 binary64)))))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx h h)
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 d l))))
#s(approx (/ h l) (/.f64 h l))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (/ 1 (sqrt (* l h))) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))
#s(approx (sqrt (* l h)) (sqrt.f64 (*.f64 l h)))
#s(approx (* l h) (*.f64 l h))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (pow (* l h) -1/2) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 d l))))
#s(approx (* -1/8 (* (pow (* M D) 2) h)) (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64)))
#s(approx (* (pow (* M D) 2) h) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
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#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
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#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
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#s(approx (sqrt (/ d h)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l))))) h)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (neg.f64 d)))) h)))
#s(approx (sqrt (* l h)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (neg.f64 d)))) h)))
#s(approx (* (pow (* l h) -1/2) d) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
#s(approx (pow (* l h) -1/2) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
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#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
#s(approx (* (neg d) (pow (* l h) -1/2)) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l (pow.f64 d #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) d))) (*.f64 l l)))
#s(approx l l)
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l (pow.f64 d #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) d))) (*.f64 l l)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))
#s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))
#s(approx M M)
#s(approx (* 1/2 M) (*.f64 #s(literal 1/2 binary64) M))
#s(approx (pow (* M D) 2) (pow.f64 (*.f64 M D) #s(literal 2 binary64)))
#s(approx (* M D) (*.f64 M D))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 M M)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 M #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 M M)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 M M)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 M M)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 M M)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 M #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 M M)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))
#s(approx D D)
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 D D)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 D D)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 D D)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 D D)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 D D)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 D D)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D)))

eval47.0ms (0.5%)

Memory
19.1MiB live, 70.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 14 830 to 1 303 computations (91.2% saved)

prune77.0ms (0.8%)

Memory
-7.8MiB live, 128.7MiB allocated; 12ms collecting garbage
Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New33417351
Fresh91827
Picked415
Done011
Total34737384
Accuracy
97.0%
Counts
384 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.2%
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
35.8%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
59.0%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
41.2%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d)))
69.4%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
33.6%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1/2 binary64))))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
38.9%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
12.0%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))))
69.3%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
70.3%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l))))
69.4%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
22.6%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d d) l)))))
15.5%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))))
42.3%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l)))) h)))
15.3%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))))))
10.3%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))
41.9%
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
58.2%
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))
20.6%
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l))))
18.5%
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
29.8%
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) d))
16.2%
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
24.3%
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
24.3%
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
31.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
47.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
38.4%
#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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 M M))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
28.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
13.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h))
40.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
13.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
31.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
17.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
19.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
31.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
31.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
24.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
Compiler

Compiled 5 913 to 1 705 computations (71.2% saved)

regimes218.0ms (2.4%)

Memory
-21.0MiB live, 373.8MiB allocated; 91ms collecting garbage
Counts
87 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d 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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d d) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 M M))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1/2 binary64))))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
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#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) d))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 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)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l)))) h)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))
Outputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
Calls

7 calls:

50.0ms
D
48.0ms
h
25.0ms
l
24.0ms
d
24.0ms
M
Results
AccuracySegmentsBranch
70.3%1(*.f64 M D)
78.0%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))))
78.2%3d
80.2%4h
79.5%3l
70.3%1M
70.3%1D
Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes37.0ms (0.4%)

Memory
19.2MiB live, 69.1MiB allocated; 8ms collecting garbage
Counts
60 → 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d 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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d d) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 M M))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1/2 binary64))))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) d))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (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))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
Outputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1/2 binary64))))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
Calls

2 calls:

19.0ms
l
15.0ms
h
Results
AccuracySegmentsBranch
78.3%3h
77.2%3l
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes85.0ms (0.9%)

Memory
-36.9MiB live, 56.6MiB allocated; 3ms collecting garbage
Counts
44 → 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d 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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d d) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 M M))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 d d))) l))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))))
Outputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (*.f64 M D) (*.f64 M D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
Calls

4 calls:

47.0ms
h
11.0ms
d
11.0ms
l
9.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
74.6%2l
75.9%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))))
77.0%3d
75.0%2h
Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes12.0ms (0.1%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Counts
37 → 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d 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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d d) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 M M))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))
Outputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
Calls

1 calls:

10.0ms
d
Results
AccuracySegmentsBranch
76.6%3d
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes35.0ms (0.4%)

Memory
-8.3MiB live, 36.5MiB allocated; 4ms collecting garbage
Counts
31 → 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d 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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d d) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
Outputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
Calls

2 calls:

24.0ms
h
8.0ms
d
Results
AccuracySegmentsBranch
75.0%2h
74.6%2d
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes37.0ms (0.4%)

Memory
24.4MiB live, 72.9MiB allocated; 8ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d 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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d d) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (*.f64 #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) #s(literal 1/2 binary64)))) l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) (/.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))))
Outputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h))
Calls

4 calls:

13.0ms
l
8.0ms
d
8.0ms
h
7.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
75.4%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
70.3%1d
70.3%1l
72.1%2h
Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes47.0ms (0.5%)

Memory
-17.4MiB live, 118.0MiB allocated; 11ms collecting garbage
Counts
20 → 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d 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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d d) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #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 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (/.f64 D d)) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)))) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h))
Calls

7 calls:

8.0ms
l
8.0ms
M
7.0ms
(*.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))))
6.0ms
h
6.0ms
D
Results
AccuracySegmentsBranch
62.3%2M
62.9%2(*.f64 M D)
58.2%1d
60.5%2l
61.9%2D
58.2%1h
71.2%4(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes6.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Counts
16 → 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d 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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d d) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (sqrt (/ d l)) (sqrt (/ d h)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
Outputs
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) h)) (*.f64 (*.f64 d d) l)))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h))
Calls

1 calls:

4.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
67.7%4(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes33.0ms (0.4%)

Memory
-29.1MiB live, 73.5MiB allocated; 10ms collecting garbage
Counts
11 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d 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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))) d)) h))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h))
Calls

7 calls:

8.0ms
(*.f64 M D)
6.0ms
d
4.0ms
M
4.0ms
h
4.0ms
D
Results
AccuracySegmentsBranch
46.3%2d
47.8%3h
45.5%2l
44.0%2D
47.5%2M
48.8%2(*.f64 M D)
55.4%4(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes4.0ms (0%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Counts
10 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 #s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h))
Calls

1 calls:

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
53.3%4(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes6.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Counts
7 → 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (neg.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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h))
Calls

2 calls:

2.0ms
(*.f64 M D)
2.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
45.8%2(*.f64 M D)
49.4%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 38 to 28 computations (26.3% saved)

regimes15.0ms (0.2%)

Memory
3.2MiB live, 49.7MiB allocated; 3ms collecting garbage
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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
Calls

6 calls:

4.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.0ms
M
2.0ms
h
2.0ms
l
2.0ms
d
Results
AccuracySegmentsBranch
43.4%2l
42.8%2(*.f64 M D)
45.3%3h
44.2%2d
40.2%1M
44.0%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 42 to 48 computations (-14.3% saved)

regimes15.0ms (0.2%)

Memory
-7.3MiB live, 39.6MiB allocated; 2ms collecting garbage
Counts
4 → 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h))))
Calls

7 calls:

3.0ms
d
2.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
2.0ms
l
2.0ms
h
2.0ms
M
Results
AccuracySegmentsBranch
31.5%1M
31.5%1(*.f64 M D)
31.5%1l
31.5%1h
31.5%1D
31.5%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))))
31.5%1d
Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes19.0ms (0.2%)

Memory
-21.4MiB live, 30.9MiB allocated; 13ms collecting garbage
Accuracy

Total -0.3b remaining (-0.6%)

Threshold costs -0.3b (-0.6%)

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

7 calls:

11.0ms
h
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
D
1.0ms
d
1.0ms
M
Results
AccuracySegmentsBranch
31.5%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))))
31.5%1(*.f64 M D)
31.5%1M
31.5%1D
31.5%1h
31.5%1d
31.5%1l
Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch78.0ms (0.8%)

Memory
5.3MiB live, 146.3MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
55.0ms
-1.0978866137870663e-306
3.4671110672582914e-306
15.0ms
-4.3751274460569467e+83
-3.990710082023054e+83
Samples
35.0ms191×0invalid
23.0ms160×0valid
Compiler

Compiled 776 to 610 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div!: 18.0ms (40.5% of total)
ival-pow: 11.0ms (24.8% of total)
ival-mult!: 11.0ms (24.8% of total)
ival-pow2: 4.0ms (9% of total)
ival-sub!: 1.0ms (2.3% of total)
adjust: 0.0ms (0% of total)

bsearch171.0ms (1.8%)

Memory
-2.5MiB live, 237.1MiB allocated; 24ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
59.0ms
-9.024384623575535e-291
1.5581465758981177e-308
82.0ms
-6.776138343106966e+64
-1.1006977039674876e+49
Samples
67.0ms340×0invalid
43.0ms320×0valid
Compiler

Compiled 1 628 to 1 180 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult!: 39.0ms (45.1% of total)
ival-pow: 21.0ms (24.3% of total)
ival-div!: 17.0ms (19.6% of total)
ival-pow2: 8.0ms (9.2% of total)
ival-sub!: 2.0ms (2.3% of total)
adjust: 0.0ms (0% of total)

bsearch106.0ms (1.1%)

Memory
21.9MiB live, 210.6MiB allocated; 23ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
41.0ms
1.1627865700438646e-303
1.6322147670651853e-300
55.0ms
-1.6126227054346368e-54
-2.243493747414624e-56
Samples
38.0ms240×0valid
24.0ms239×0invalid
Compiler

Compiled 1 906 to 1 208 computations (36.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-pow: 16.0ms (35.8% of total)
ival-mult!: 11.0ms (24.6% of total)
ival-div!: 10.0ms (22.3% of total)
ival-pow2: 6.0ms (13.4% of total)
ival-sub!: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)

bsearch159.0ms (1.7%)

Memory
0.8MiB live, 194.7MiB allocated; 23ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
103.0ms
1.1627865700438646e-303
1.6322147670651853e-300
47.0ms
-3.941720055177504e-174
-1.1965614158281241e-178
Samples
71.0ms240×0valid
60.0ms262×0invalid
Compiler

Compiled 1 534 to 1 062 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-div!: 47.0ms (41.6% of total)
ival-mult!: 46.0ms (40.7% of total)
ival-pow: 13.0ms (11.5% of total)
ival-pow2: 6.0ms (5.3% of total)
ival-sub!: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)

bsearch51.0ms (0.6%)

Memory
-21.7MiB live, 114.1MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
44.0ms
5.193569202895112e-274
1.2579272850916603e-271
Samples
17.0ms112×0valid
16.0ms122×0invalid
Compiler

Compiled 563 to 429 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-pow: 8.0ms (36% of total)
ival-mult!: 6.0ms (27% of total)
ival-div!: 5.0ms (22.5% of total)
ival-pow2: 3.0ms (13.5% of total)
ival-sub!: 1.0ms (4.5% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.8324522617345567e+261
4.663180325116199e+263
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.8324522617345567e+261
4.663180325116199e+263
0.0ms
-1.946126434886163e-96
-3.0974564266144967e-115
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.8324522617345567e+261
4.663180325116199e+263
0.0ms
-3.0974564266144967e-115
-3.322824912590496e-249
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.8324522617345567e+261
4.663180325116199e+263
0.0ms
-3.322824912590496e-249
0.0
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.8324522617345567e+261
4.663180325116199e+263
0.0ms
-3.322824912590496e-249
0.0
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.322824912590496e-249
0.0
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch48.0ms (0.5%)

Memory
5.9MiB live, 106.5MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
43.0ms
-4.807269852716626e-99
-7.271094326576659e-101
Samples
20.0ms112×0valid
14.0ms138×0invalid
Compiler

Compiled 822 to 520 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div!: 10.0ms (40.6% of total)
ival-mult!: 6.0ms (24.3% of total)
ival-pow: 5.0ms (20.3% of total)
ival-pow2: 3.0ms (12.2% of total)
ival-sub!: 1.0ms (4.1% of total)
adjust: 0.0ms (0% of total)

derivations165.0ms (1.8%)

Memory
11.3MiB live, 248.1MiB allocated; 18ms collecting garbage
Stop Event
fuel
Compiler

Compiled 2 746 to 240 computations (91.3% saved)

preprocess184.0ms (2%)

Memory
-5.5MiB live, 426.3MiB allocated; 37ms collecting garbage
Remove

(sort M D)

(abs D)

(abs M)

Compiler

Compiled 22 676 to 6 456 computations (71.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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