Henrywood and Agarwal, Equation (12)

Time bar (total: 8.5s)

start0.0ms (0%)

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

analyze571.0ms (6.7%)

Memory
12.0MiB live, 706.3MiB allocated; 225ms 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)

sample4.7s (55%)

Memory
129.3MiB live, 5 840.2MiB allocated; 1.8s collecting garbage
Samples
1.8s12 991×0invalid
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-mult!: 702.0ms (28.2% of total)
ival-pow2: 595.0ms (23.9% of total)
ival-pow: 579.0ms (23.2% of total)
ival-div!: 547.0ms (21.9% of total)
ival-sub!: 64.0ms (2.6% of total)
adjust: 4.0ms (0.2% of total)
Bogosity

explain335.0ms (3.9%)

Memory
-4.1MiB live, 522.7MiB allocated; 41ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
660-4(1.9210557140358624e-107 5.126546833988261e+208 4.218414653139617e+307 7.591850711135393e-88 2.3324401557105985e-184)(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
650-6(1.0059251676426292e-286 1.0011033175067907e+270 2.272959041148601e+26 -1.0892418699186952e-134 9.17377612164982e-298)(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
400-2(-2.7267064146005928e+188 -1.917633400109828e+187 -1.6071873361836764e+29 -5.79818385258774e+102 1.856918099619877e-72)(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
320-3(-1.2323032653880774e-29 -7.69008301186834e+248 -5.590264936161001e-186 -7.346462161549283e-121 -2.4579624194993347e-191)(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
280-0-(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
00-0-D
00-0-(*.f64 #s(literal 2 binary64) d)
00-0-(/.f64 h l)
00-0-(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
00-0-d
00-0-#s(literal 1 binary64)
00-0-(/.f64 d l)
00-0-(*.f64 M D)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(/.f64 d h)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
00-0-#s(literal 2 binary64)
00-0-l
00-0-(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
00-0-M
00-0-h
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue330
(/.f64 d h)overflow33
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))oflow-rescue300
(/.f64 d l)overflow30
pow.f64(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue290
(/.f64 d l)underflow29
pow.f64(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))uflow-rescue290
(/.f64 d h)underflow29
*.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*o140
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n110
(*.f64 M D)overflow33
*.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*o110
(/.f64 d h)underflow29
(/.f64 d l)underflow29
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))underflow21
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow85
(/.f64 h l)overflow32
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))overflow93
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))overflow93
(*.f64 M D)overflow33
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow45
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))overflow85
(*.f64 #s(literal 2 binary64) d)overflow1
*.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*o50
*.f64(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))n*u30
*.f64(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))o*u20
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow85
(*.f64 M D)overflow33
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow45
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))overflow85
(*.f64 #s(literal 2 binary64) d)overflow1
(/.f64 h l)underflow28
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/o10
(*.f64 M D)overflow33
(*.f64 #s(literal 2 binary64) d)overflow1
*.f64(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))u*o10
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow89
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))underflow89
(*.f64 M D)underflow36
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow39
(/.f64 h l)overflow32
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))u/n10
(*.f64 M D)underflow36
Confusion
Predicted +Predicted -
+8110
-36129
Precision
0.6923076923076923
Recall
0.8901098901098901
Confusion?
Predicted +Predicted MaybePredicted -
+81010
-360129
Precision?
0.6923076923076923
Recall?
0.8901098901098901
Freqs
test
numberfreq
0139
173
235
39
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
107.0ms512×0valid
Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-div!: 40.0ms (50% of total)
ival-pow: 21.0ms (26.2% of total)
ival-mult!: 12.0ms (15% of total)
ival-pow2: 6.0ms (7.5% of total)
ival-sub!: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)

preprocess42.0ms (0.5%)

Memory
-25.8MiB live, 20.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0171588
1546580
22128575
36640575
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.1%
(*.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))))
Symmetry

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 70 to 44 computations (37.1% saved)

series140.0ms (1.6%)

Memory
7.7MiB live, 164.4MiB allocated; 106ms 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
62.0ms
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))
14.0ms
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))
8.0ms
l
@-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
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))

rewrite70.0ms (0.8%)

Memory
-24.7MiB live, 122.5MiB allocated; 23ms 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)))

eval10.0ms (0.1%)

Memory
29.9MiB live, 29.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 048 to 487 computations (88% saved)

prune15.0ms (0.2%)

Memory
-11.6MiB live, 35.7MiB allocated; 1ms collecting garbage
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New791695
Fresh000
Picked101
Done000
Total801696
Accuracy
93.9%
Counts
96 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.7%
(*.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))))
70.3%
(*.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 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
25.6%
(*.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 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))))
41.0%
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
35.2%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
66.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
38.5%
(*.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))))
37.0%
(*.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))))
21.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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))
54.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.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))
22.4%
#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 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
35.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.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))
20.4%
#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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
19.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.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))))))
28.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
26.5%
#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 1 492 to 996 computations (33.2% saved)

series131.0ms (1.5%)

Memory
-2.8MiB live, 236.5MiB allocated; 11ms collecting garbage
Counts
59 → 135
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 (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 d 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 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) 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 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)
(*.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
(/.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)
(*.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 h l)
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(sqrt.f64 (/.f64 d l))
(sqrt.f64 (/.f64 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))))
#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 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))
(*.f64 #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)))
(*.f64 (*.f64 (/.f64 #s(literal 1 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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) #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) h) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))
#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 (* (/ 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 (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h))))
#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 (* (* (/ 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* 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 (* (* (/ 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (* 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 (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (* (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 (* (/ 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 (/ h l) #s(hole binary64 (/ h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* 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 (* (* (/ 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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) (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 (* (/ 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 (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (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 (- 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (pow l 3) #s(hole binary64 (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)) 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 (* (* (/ 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (+ (* -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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (* (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 l)) #s(hole binary64 (* (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 (* (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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (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 (* (* (/ 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #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 (* (* (/ 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
22.0ms
D
@inf
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ 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 (* (- 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)) (/ h l) (* (sqrt (/ d l)) (sqrt (/ d h))) (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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 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))
10.0ms
h
@0
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ 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 (* (- 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)) (/ h l) (* (sqrt (/ d l)) (sqrt (/ d h))) (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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 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))
9.0ms
d
@-inf
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ 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 (* (- 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)) (/ h l) (* (sqrt (/ d l)) (sqrt (/ d h))) (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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 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))
9.0ms
d
@0
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ 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 (* (- 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)) (/ h l) (* (sqrt (/ d l)) (sqrt (/ d h))) (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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 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))
9.0ms
d
@inf
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ 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 (* (- 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)) (/ h l) (* (sqrt (/ d l)) (sqrt (/ d h))) (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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 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))

rewrite75.0ms (0.9%)

Memory
8.7MiB live, 58.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03815220
04634662
013524617
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
194 → 331
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 (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 d 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 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) 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 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)
(*.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
(/.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)
(*.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)))
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(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(sqrt.f64 (/.f64 d l))
(sqrt.f64 (/.f64 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))))
#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 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))
(*.f64 #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)))
(*.f64 (*.f64 (/.f64 #s(literal 1 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))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) #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) h) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))
#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 (* (/ 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 (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h))))
#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 (* (* (/ 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* 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 (* (* (/ 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (* 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 (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (* (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 (* (/ 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 (/ h l) #s(hole binary64 (/ h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* 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 (* (* (/ 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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) (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 (* (/ 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 (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (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 (- 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (pow l 3) #s(hole binary64 (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)) 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 (* (* (/ 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (+ (* -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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (* (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 l)) #s(hole binary64 (* (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 (* (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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (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 (* (* (/ 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #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 (* (* (/ 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 (-.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))) (sqrt.f64 (/.f64 d h)))
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M
(/.f64 (neg.f64 D) (neg.f64 d))
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D
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#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 (- 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 (neg.f64 (/.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)))
#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 (neg.f64 (/.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)))) #s(literal 1/8 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 (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (sqrt (/ d h)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)))
#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 (neg.f64 (/.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)))
#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 (neg.f64 (/.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)))) #s(literal 1/8 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 (pow (* l h) -1)) d) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (sqrt (pow (* l h) -1)) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (* (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (sqrt (/ h (pow l 3)))) (*.f64 (*.f64 (neg.f64 (/.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)))
#s(approx (sqrt (/ h (pow l 3))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal -1 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (neg.f64 (/.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)))
#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 (neg.f64 (/.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)))) #s(literal 1/8 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 (* (* (/ 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 (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (sqrt (/ d h)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 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 (- 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 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.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 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l)))
#s(approx (pow l 3) (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 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l 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))
#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))
#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 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d (*.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d (*.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d (*.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 (* (* (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) (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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 (/.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))))
#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 (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)))) (fma.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 (/.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))))
#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) (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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 (/.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))))
#s(approx (sqrt (/ d l)) (*.f64 (sqrt.f64 (/.f64 d 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 (- 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 (* (* (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 (- 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 (- 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 (* (* (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)))
#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)))

eval43.0ms (0.5%)

Memory
-7.2MiB live, 39.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 10 828 to 1 120 computations (89.7% saved)

prune38.0ms (0.4%)

Memory
6.7MiB live, 51.4MiB allocated; 4ms collecting garbage
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New23018248
Fresh6511
Picked415
Done000
Total24024264
Accuracy
94.3%
Counts
264 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
66.7%
(*.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))))
38.8%
(*.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))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
25.6%
(*.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 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))))
41.0%
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
37.5%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
67.9%
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
56.8%
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.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)))
38.5%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
39.2%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
39.7%
(*.f64 #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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)))
22.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 d d) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64))) d))
22.4%
#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 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
54.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
35.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.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))
26.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
26.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
20.4%
#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 (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)))
28.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
26.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
26.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64)))) d))
25.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
27.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
19.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (*.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))))))
Compiler

Compiled 2 115 to 1 426 computations (32.6% saved)

series313.0ms (3.7%)

Memory
-11.8MiB live, 507.7MiB allocated; 74ms collecting garbage
Counts
60 → 167
Calls
Call 1
Inputs
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))
(log.f64 (/.f64 d h))
(/.f64 d h)
d
h
#s(literal 1/2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.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))
(/.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 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)
(*.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
(/.f64 D d)
D
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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))
(*.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 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64)))) d))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64)))) d)
(sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64))))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64)))
(pow.f64 l #s(literal -1 binary64))
#s(literal -1 binary64)
(pow.f64 h #s(literal -1 binary64))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)
(fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.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))
#s(literal 3 binary64)
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(*.f64 D M)
#s(literal -1/8 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))) #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 (/.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 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.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)))
#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 (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (exp (* (log (/ d h)) 1/2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log d) (log (/ 1 h))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log d) (log (/ 1 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) #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) h) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))
#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 (* (pow (* l h) -1/2) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (* (pow l -1) (pow h -1))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) #s(hole binary64 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d)))
#s(approx (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 2)) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (pow (* (/ D d) (/ M 2)) 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 (* (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 (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log (/ 1 h)) (* -1 (log (/ 1 d)))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log (/ 1 h)) (* -1 (log (/ 1 d))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2)) (* (sqrt (/ d l)) (sqrt (/ d h)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 2)) 1/2)) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (exp (* (log (/ d h)) 1/2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log (/ -1 h)) (* -1 (log (/ -1 d)))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log (/ -1 h)) (* -1 (log (/ -1 d))))))
#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 (* (* 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 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 (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log d) (* -1 (log h))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log d) (* -1 (log h)))))
#s(approx h #s(hole 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)))) #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 (pow (* l h) -1/2) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (* l h) #s(hole binary64 (* h l)))
#s(approx (sqrt (* (pow l -1) (pow h -1))) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (* (pow l -1) (pow h -1)) #s(hole binary64 (/ 1 (* h l))))
#s(approx (pow h -1) #s(hole binary64 (/ 1 h)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (sqrt (/ h l))))
#s(approx (/ h l) #s(hole binary64 (/ 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 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 2)) 1/2)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (exp (* (log (/ d h)) 1/2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log (* -1 d)) (log (/ -1 h))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log (* -1 d)) (log (/ -1 h)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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) (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 (* l h) -1/2) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (pow (* l h) -1/2) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (* (pow l -1) (pow h -1))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (* (pow l -1) (pow h -1))) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #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 l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) #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 (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) #s(hole binary64 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (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 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 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 (* (neg d) (pow (* l h) -1/2)) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (pow l -1) #s(hole binary64 (/ 1 l)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 2)) 1/2)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) #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 (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 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 (/ 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 (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 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 (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 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
58.0ms
d
@0
((* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (exp (* (log (/ d h)) 1/2)) (* (log (/ d h)) 1/2) (log (/ d h)) (/ d h) d h 1/2 (pow (/ d l) (/ 1 2)) (/ d l) l (/ 1 2) 1 2 (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (* (pow l -1) (pow h -1))) d) (sqrt (* (pow l -1) (pow h -1))) (* (pow l -1) (pow h -1)) (pow l -1) -1 (pow h -1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) -1/8 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2)) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2)) (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2) (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) (pow (* (/ D d) (/ M 2)) 2) (* (/ D d) (/ M 2)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d))
47.0ms
d
@-inf
((* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (exp (* (log (/ d h)) 1/2)) (* (log (/ d h)) 1/2) (log (/ d h)) (/ d h) d h 1/2 (pow (/ d l) (/ 1 2)) (/ d l) l (/ 1 2) 1 2 (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (* (pow l -1) (pow h -1))) d) (sqrt (* (pow l -1) (pow h -1))) (* (pow l -1) (pow h -1)) (pow l -1) -1 (pow h -1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) -1/8 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2)) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2)) (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2) (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) (pow (* (/ D d) (/ M 2)) 2) (* (/ D d) (/ M 2)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d))
37.0ms
M
@-inf
((* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (exp (* (log (/ d h)) 1/2)) (* (log (/ d h)) 1/2) (log (/ d h)) (/ d h) d h 1/2 (pow (/ d l) (/ 1 2)) (/ d l) l (/ 1 2) 1 2 (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (* (pow l -1) (pow h -1))) d) (sqrt (* (pow l -1) (pow h -1))) (* (pow l -1) (pow h -1)) (pow l -1) -1 (pow h -1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) -1/8 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2)) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2)) (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2) (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) (pow (* (/ D d) (/ M 2)) 2) (* (/ D d) (/ M 2)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d))
26.0ms
h
@0
((* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (exp (* (log (/ d h)) 1/2)) (* (log (/ d h)) 1/2) (log (/ d h)) (/ d h) d h 1/2 (pow (/ d l) (/ 1 2)) (/ d l) l (/ 1 2) 1 2 (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (* (pow l -1) (pow h -1))) d) (sqrt (* (pow l -1) (pow h -1))) (* (pow l -1) (pow h -1)) (pow l -1) -1 (pow h -1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) -1/8 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2)) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2)) (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2) (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) (pow (* (/ D d) (/ M 2)) 2) (* (/ D d) (/ M 2)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d))
25.0ms
h
@-inf
((* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (exp (* (log (/ d h)) 1/2)) (* (log (/ d h)) 1/2) (log (/ d h)) (/ d h) d h 1/2 (pow (/ d l) (/ 1 2)) (/ d l) l (/ 1 2) 1 2 (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (* l h) -1/2) d) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (* (pow l -1) (pow h -1))) d) (sqrt (* (pow l -1) (pow h -1))) (* (pow l -1) (pow h -1)) (pow l -1) -1 (pow h -1) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) -1/8 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2)) (* (sqrt (/ d l)) (sqrt (/ d h)))) (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2)) (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) 1/2) (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) (pow (* (/ D d) (/ M 2)) 2) (* (/ D d) (/ M 2)) (* (sqrt (/ d l)) (sqrt (/ d h))) (* (neg d) (pow (* l h) -1/2)) (neg d))

rewrite87.0ms (1%)

Memory
44.9MiB live, 133.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05056768
05836008
019675951
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
227 → 368
Calls
Call 1
Inputs
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d
h
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(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
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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 (+ (* -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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) #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 (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 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 (/ 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 (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 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 (* (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (- 1 (* (* (/ h l) (pow (* (/ D d) (/ M 2)) 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 (* (/ D d) (/ M 2)) 2)) 1/2)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
Outputs
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(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 d l) (/.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 (exp.f64 (log.f64 (/.f64 d h))) #s(literal 1/2 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 (cosh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))))
(*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h)))
(-.f64 (log.f64 d) (log.f64 h))
(log.f64 (/.f64 d h))
(/.f64 (neg.f64 d) (neg.f64 h))
(/.f64 d h)
d
h
#s(literal 1/2 binary64)
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(/.f64 (sqrt.f64 d) (sqrt.f64 l))
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(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 d) (neg.f64 l))
(/.f64 d l)
l
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
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(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 1/2 binary64))
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l))
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(*.f64 h (*.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 2 binary64)) #s(literal 1/2 binary64))
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(*.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)))
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(*.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 D (/.f64 M #s(literal 2 binary64))) d)
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d)
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))
(/.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
(/.f64 (neg.f64 D) (neg.f64 d))
(/.f64 D d)
D
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)
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(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))
(*.f64 l h)
(*.f64 h l)
#s(literal -1/2 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)
(*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))
(*.f64 (sqrt.f64 (pow.f64 l #s(literal -1 binary64))) (sqrt.f64 (pow.f64 h #s(literal -1 binary64))))
(pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #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)))
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(/.f64 (pow.f64 h #s(literal -1 binary64)) l)
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(/.f64 #s(literal 1 binary64) (*.f64 l h))
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(/.f64 #s(literal -1 binary64) (neg.f64 l))
(/.f64 #s(literal 1 binary64) l)
(exp.f64 (*.f64 (log.f64 l) #s(literal -1 binary64)))
#s(literal -1 binary64)
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64)))
(pow.f64 h #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 h))
(/.f64 #s(literal 1 binary64) h)
(exp.f64 (neg.f64 (log.f64 h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.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)) h))
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#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (fma.f64 (*.f64 (/.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)))) #s(literal -1/8 binary64) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (neg.f64 d)))) (*.f64 h h)))
#s(approx (sqrt (/ h l)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 h l)))))
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal -1/8 binary64)))
#s(approx (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
#s(approx (sqrt (pow (/ h l) 3)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.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(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.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)))) #s(literal 1/8 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 (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (exp (* (log (/ d h)) 1/2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (neg d) (pow (* l h) -1/2)) (neg.f64 (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (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 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l)))
#s(approx l l)
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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))
#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 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l)))
#s(approx (pow l -1) (pow.f64 l #s(literal -1 binary64)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l)))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.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 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l)))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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))
#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 binary64) (sqrt.f64 (*.f64 l h))) d (*.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 (* (* (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 binary64) (sqrt.f64 (*.f64 l h))) d (*.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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d (*.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 (* (* (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 binary64) (sqrt.f64 (*.f64 l h))) d (*.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 (* (* (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) (/.f64 #s(literal 1 binary64) (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)))) (fma.f64 (*.f64 (/.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(literal -1/8 binary64) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
#s(approx (pow (/ d l) (/ 1 2)) (*.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 (neg.f64 d) (/.f64 #s(literal 1 binary64) (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)))) (fma.f64 (*.f64 (/.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(literal -1/8 binary64) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (fma.f64 (*.f64 (/.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(literal 1/8 binary64) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal 1/8 binary64) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))))
#s(approx (sqrt (/ h l)) (neg.f64 (sqrt.f64 (/.f64 h l))))
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal 1/8 binary64)))
#s(approx (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))))
#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 (* (* (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) (/.f64 #s(literal 1 binary64) (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)))) (fma.f64 (*.f64 (/.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(literal -1/8 binary64) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
#s(approx (/ M 2) (*.f64 M #s(literal 1/2 binary64)))
#s(approx M M)
#s(approx (pow (* D M) 2) (pow.f64 (*.f64 D M) #s(literal 2 binary64)))
#s(approx (* D M) (*.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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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)))

eval38.0ms (0.4%)

Memory
-24.0MiB live, 75.9MiB allocated; 10ms collecting garbage
Compiler

Compiled 15 040 to 1 464 computations (90.3% saved)

prune36.0ms (0.4%)

Memory
-12.4MiB live, 82.1MiB allocated; 5ms collecting garbage
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New26818286
Fresh61218
Picked325
Done011
Total27733310
Accuracy
96.6%
Counts
310 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.8%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) l) #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)))))
66.5%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
66.7%
(*.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))))
35.1%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)))) #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)))))
41.0%
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
39.0%
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(literal 1 binary64)))
67.9%
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l))) (-.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)))
56.8%
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.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)))
39.2%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
39.7%
(*.f64 #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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)))
32.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
22.4%
#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 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
64.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) #s(literal -1/8 binary64))) h))
44.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) #s(literal -1/8 binary64))) h))
48.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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))
54.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h l))) d)) h))
43.4%
#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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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))
40.4%
#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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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))
4.6%
#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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) h))
39.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
14.8%
#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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
26.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
26.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
26.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64))) d))
20.4%
#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 (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)))
28.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
26.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
26.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64)))) d))
21.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal -1 binary64))) (pow.f64 h #s(literal -1 binary64)))) d))
27.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
27.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
24.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
19.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (*.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))))))
Compiler

Compiled 3 318 to 2 140 computations (35.5% saved)

series218.0ms (2.6%)

Memory
30.5MiB live, 272.9MiB allocated; 35ms collecting garbage
Counts
57 → 151
Calls
Call 1
Inputs
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l))) (-.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)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l)))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))
(log.f64 (/.f64 d h))
(/.f64 d h)
d
h
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.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(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)
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)
(*.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(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) (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)
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
(*.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 (*.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 (pow.f64 (/.f64 d 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 (pow.f64 (/.f64 d 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 #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))
#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 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) #s(literal -1/8 binary64))) h))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) #s(literal -1/8 binary64))) h)
(fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) #s(literal -1/8 binary64)))
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) #s(literal -1/8 binary64))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d))
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)
(*.f64 (*.f64 M M) (*.f64 D D))
(*.f64 M M)
(*.f64 D D)
#s(literal -1/8 binary64)
Outputs
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (exp (* (log (/ d h)) 1/2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log d) (log (/ 1 h))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log d) (log (/ 1 h)))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) #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) h) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))
#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 (* (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 (* (* -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 (* (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 (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) #s(hole binary64 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (/ (* (* M M) (* D D)) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d)))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log (/ 1 h)) (* -1 (log (/ 1 d)))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log (/ 1 h)) (* -1 (log (/ 1 d))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (exp (* (log (/ d h)) 1/2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log (/ -1 h)) (* -1 (log (/ -1 d)))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log (/ -1 h)) (* -1 (log (/ -1 d))))))
#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 (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log d) (* -1 (log h))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log d) (* -1 (log h)))))
#s(approx h #s(hole 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)))) #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 (pow (* l h) -1/2) #s(hole binary64 (sqrt (/ 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (sqrt (/ h l))))
#s(approx (/ h l) #s(hole binary64 (/ 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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (exp (* (log (/ d h)) 1/2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log (* -1 d)) (log (/ -1 h))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log (* -1 d)) (log (/ -1 h)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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) (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 (* (neg d) (pow (* l h) -1/2)) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (* l h) -1/2) #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 (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) #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 l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) #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 (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) #s(hole binary64 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (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 (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) #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 (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) #s(hole binary64 (* -1 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* M M) (* D D)) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 D #s(hole binary64 D))
#s(approx (* D D) #s(hole binary64 (pow D 2)))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #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 (* (* (/ 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)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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)))))))
Calls

15 calls:

TimeVariablePointExpression
35.0ms
h
@inf
((* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (exp (* (log (/ d h)) 1/2)) (* (log (/ d h)) 1/2) (log (/ d h)) (/ d h) d h 1/2 (sqrt (/ d l)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg d) (pow (* l h) -1/2)) (neg d) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (* (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)) (/ 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))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (sqrt (/ h l)) (/ h l) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (/ (* (* M M) (* D D)) d) (* (* M M) (* D D)) (* M M) (* D D) -1/8)
26.0ms
d
@inf
((* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (exp (* (log (/ d h)) 1/2)) (* (log (/ d h)) 1/2) (log (/ d h)) (/ d h) d h 1/2 (sqrt (/ d l)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg d) (pow (* l h) -1/2)) (neg d) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (* (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)) (/ 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))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (sqrt (/ h l)) (/ h l) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (/ (* (* M M) (* D D)) d) (* (* M M) (* D D)) (* M M) (* D D) -1/8)
25.0ms
l
@inf
((* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (exp (* (log (/ d h)) 1/2)) (* (log (/ d h)) 1/2) (log (/ d h)) (/ d h) d h 1/2 (sqrt (/ d l)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg d) (pow (* l h) -1/2)) (neg d) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (* (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)) (/ 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))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (sqrt (/ h l)) (/ h l) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (/ (* (* M M) (* D D)) d) (* (* M M) (* D D)) (* M M) (* D D) -1/8)
22.0ms
D
@0
((* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (exp (* (log (/ d h)) 1/2)) (* (log (/ d h)) 1/2) (log (/ d h)) (/ d h) d h 1/2 (sqrt (/ d l)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg d) (pow (* l h) -1/2)) (neg d) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (* (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)) (/ 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))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (sqrt (/ h l)) (/ h l) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (/ (* (* M M) (* D D)) d) (* (* M M) (* D D)) (* M M) (* D D) -1/8)
17.0ms
d
@-inf
((* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (exp (* (log (/ d h)) 1/2)) (* (log (/ d h)) 1/2) (log (/ d h)) (/ d h) d h 1/2 (sqrt (/ d l)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg d) (pow (* l h) -1/2)) (neg d) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) -1 (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* (* (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)) (/ 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))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (sqrt (/ h l)) (/ h l) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (/ (* (* M M) (* D D)) d) (* (* M M) (* D D)) (* M M) (* D D) -1/8)

rewrite114.0ms (1.3%)

Memory
-11.9MiB live, 125.7MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04755838
05485075
018905028
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
208 → 347
Calls
Call 1
Inputs
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l))) (-.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)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l)))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))
(log.f64 (/.f64 d h))
(/.f64 d h)
d
h
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
l
(-.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(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)
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)
(*.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(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) (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)
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
(*.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 (*.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 (pow.f64 (/.f64 d 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 (pow.f64 (/.f64 d 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 #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))
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(/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) #s(literal -1/8 binary64))) h)
(fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) #s(literal -1/8 binary64)))
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) #s(literal -1/8 binary64))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d))
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)
(*.f64 (*.f64 M M) (*.f64 D D))
(*.f64 M M)
(*.f64 D D)
#s(literal -1/8 binary64)
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#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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)))
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#s(approx (log (/ d h)) #s(hole binary64 (+ (log d) (log (/ 1 h)))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
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#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) #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) h) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))
#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 (* (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 (* (* -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 (* (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 (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) #s(hole binary64 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (/ (* (* M M) (* D D)) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d)))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log (/ 1 h)) (* -1 (log (/ 1 d)))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log (/ 1 h)) (* -1 (log (/ 1 d))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (exp (* (log (/ d h)) 1/2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log (/ -1 h)) (* -1 (log (/ -1 d)))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log (/ -1 h)) (* -1 (log (/ -1 d))))))
#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 (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log d) (* -1 (log h))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log d) (* -1 (log h)))))
#s(approx h #s(hole 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)))) #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 (pow (* l h) -1/2) #s(hole binary64 (sqrt (/ 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (sqrt (/ h l))))
#s(approx (/ h l) #s(hole binary64 (/ 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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (exp (* (log (/ d h)) 1/2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (* (log (/ d h)) 1/2) #s(hole binary64 (* 1/2 (+ (log (* -1 d)) (log (/ -1 h))))))
#s(approx (log (/ d h)) #s(hole binary64 (+ (log (* -1 d)) (log (/ -1 h)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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) (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 (* (neg d) (pow (* l h) -1/2)) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (* l h) -1/2) #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 (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) #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 l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) #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 (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) #s(hole binary64 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (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 (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) #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 (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) #s(hole binary64 (* -1 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* M M) (* D D)) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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 D #s(hole binary64 D))
#s(approx (* D D) #s(hole binary64 (pow D 2)))
#s(approx (* (* (exp (* (log (/ d h)) 1/2)) (sqrt (/ d l))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #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 (* (* (/ 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)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) #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)))))))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)) (*.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 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))))
(*.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 (exp.f64 (log.f64 (/.f64 d h))) #s(literal 1/2 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 (cosh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))))
(*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h)))
(-.f64 (log.f64 d) (log.f64 h))
(log.f64 (/.f64 d h))
(/.f64 (neg.f64 d) (neg.f64 h))
(/.f64 d h)
d
h
#s(literal 1/2 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 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 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 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h))) (neg.f64 l))
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h))
(*.f64 h (*.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 2 binary64)) #s(literal 1/2 binary64))
(*.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 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(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) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
(*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(neg.f64 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
(*.f64 #s(literal -1 binary64) d)
(*.f64 d #s(literal -1 binary64))
(neg.f64 d)
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 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)))
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))
(*.f64 l h)
(*.f64 h l)
#s(literal -1/2 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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)))
(*.f64 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
(*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(neg.f64 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
(*.f64 #s(literal -1 binary64) d)
(*.f64 d #s(literal -1 binary64))
(neg.f64 d)
#s(literal -1 binary64)
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 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)))
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 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 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.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))) #s(literal 1 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 (exp.f64 (log.f64 (/.f64 d h))) #s(literal 1/2 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 (cosh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))))
#s(literal 1/2 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)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) h))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) (neg.f64 h))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) h)
(+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) h) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) h))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) h) (/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) h))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) (-.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (sqrt.f64 (/.f64 h l)) d) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 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 (*.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 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (neg.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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(pow.f64 (/.f64 h l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 h) (sqrt.f64 l))
(sqrt.f64 (/.f64 h l))
(/.f64 (neg.f64 h) (neg.f64 l))
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#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (*.f64 (*.f64 h 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 (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 (/ 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))) (neg.f64 d)))) h)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (pow (/ d h) (/ 1 2)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h))))
#s(approx (* (log (/ d h)) 1/2) (*.f64 (log.f64 (*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) h))) #s(literal 1/2 binary64)))
#s(approx (log (/ d h)) (log.f64 (*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) 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))) (neg.f64 d)))) h)))
#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 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 (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) (*.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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) (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))) (*.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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (*.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))) (neg.f64 d)))) (*.f64 h h)))
#s(approx (sqrt (/ h l)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 h l)))))
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
#s(approx (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
#s(approx (sqrt (pow (/ h l) 3)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (/.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 (* (* (/ 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (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 (/ 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 (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 #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 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) (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 (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 (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)))) (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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (pow (/ d l) (/ 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 (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)))) (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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (pow (/ d l) (/ 1 2)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) h) (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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d)))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) (neg.f64 d))))
#s(approx (sqrt (/ h l)) (neg.f64 (sqrt.f64 (/.f64 h l))))
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8) (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
#s(approx (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) (neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))))
#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 (/ M 2) (*.f64 M #s(literal 1/2 binary64)))
#s(approx M M)
#s(approx (* (* M M) (* D D)) (pow.f64 (*.f64 D M) #s(literal 2 binary64)))
#s(approx (* M M) (*.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 (* (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (*.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 D D)
#s(approx (* D D) (*.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)))
#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)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (* (* M M) (* D D)) d)) -1/8)) (*.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)))

eval38.0ms (0.4%)

Memory
9.2MiB live, 63.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 14 311 to 1 381 computations (90.4% saved)

prune54.0ms (0.6%)

Memory
-5.0MiB live, 89.4MiB allocated; 3ms collecting garbage
Pruning

37 alts after pruning (32 fresh and 5 done)

PrunedKeptTotal
New2549263
Fresh22325
Picked325
Done033
Total25937296
Accuracy
96.6%
Counts
296 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.8%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) l) #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)))))
66.5%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
66.7%
(*.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))))
35.1%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)))) #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)))))
41.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
39.0%
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(literal 1 binary64)))
67.9%
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l))) (-.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)))
56.8%
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.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)))
39.7%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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)))
32.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
22.4%
#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 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
64.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) #s(literal -1/8 binary64))) h))
51.5%
#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 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) #s(literal -1/8 binary64))) h))
48.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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))
54.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h l))) d)) h))
43.4%
#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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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))
40.4%
#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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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))
4.6%
#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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) h))
39.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
14.8%
#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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
26.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
26.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
26.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64))) d))
20.4%
#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 (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)))
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 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l))))
27.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64))))))
26.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
26.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64)))) d))
21.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal -1 binary64))) (pow.f64 h #s(literal -1 binary64)))) d))
27.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
27.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
27.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)))))
4.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64)))))
28.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
26.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))))
24.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
19.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (*.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))))))
Compiler

Compiled 4 956 to 1 578 computations (68.2% saved)

regimes157.0ms (1.8%)

Memory
7.3MiB live, 149.9MiB allocated; 11ms collecting garbage
Counts
62 → 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 (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 (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (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) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 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 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 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 (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 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 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 (/.f64 (pow.f64 h #s(literal -1 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 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (sqrt.f64 (*.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal -1 binary64))) (pow.f64 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 (exp.f64 (*.f64 (log.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 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 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) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (*.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 #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 (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #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))) #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))))))
#s(approx (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #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 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (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 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 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 (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 (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d))) #s(literal -1/8 binary64) (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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) 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 (fma.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 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 (fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 d d) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64))) d))
(*.f64 #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) 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 (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 (* (* (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))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.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)))
(*.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))) #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 h (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) l) #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 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 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 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))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (pow (* (/ D d) (/ M 2)) 2)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)))) #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 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 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 #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 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 d l))) (-.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)))
(*.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 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))))
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.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)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 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
#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 (sqrt.f64 (/.f64 h l)) d (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) #s(literal -1/8 binary64))) h))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) l) #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(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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)))
Calls

7 calls:

38.0ms
l
34.0ms
D
16.0ms
M
16.0ms
d
16.0ms
h
Results
AccuracySegmentsBranch
72.6%2(*.f64 M D)
77.3%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
83.0%4d
80.2%3h
81.5%3l
72.2%2M
70.3%1D
Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes75.0ms (0.9%)

Memory
-26.0MiB live, 65.7MiB allocated; 6ms 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 (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 (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (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) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 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 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 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 (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 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 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 (/.f64 (pow.f64 h #s(literal -1 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 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (sqrt.f64 (*.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal -1 binary64))) (pow.f64 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 (exp.f64 (*.f64 (log.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 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 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) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (*.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 #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 (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #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))) #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))))))
#s(approx (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #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 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (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 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 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 (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 (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d))) #s(literal -1/8 binary64) (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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) 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 (fma.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 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 (fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 d d) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64))) d))
(*.f64 #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) 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 (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 (* (* (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))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.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)))
(*.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))) #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) #s(literal -1/8 binary64))) h))
(*.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))) #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 (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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)))
Calls

3 calls:

34.0ms
l
26.0ms
h
12.0ms
d
Results
AccuracySegmentsBranch
77.1%3h
78.5%4d
78.3%3l
Compiler

Compiled 3 to 15 computations (-400% saved)

regimes56.0ms (0.7%)

Memory
7.7MiB live, 105.2MiB allocated; 15ms collecting garbage
Counts
43 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (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) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 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 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 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 (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 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 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 (/.f64 (pow.f64 h #s(literal -1 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 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (sqrt.f64 (*.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal -1 binary64))) (pow.f64 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 (exp.f64 (*.f64 (log.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 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 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) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (*.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 #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 (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #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))) #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))))))
#s(approx (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #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 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (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 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 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 (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 (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d))) #s(literal -1/8 binary64) (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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) 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 (fma.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 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 (fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 d d) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64))) d))
(*.f64 #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) 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 (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 (* (* (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))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.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)))
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 (pow.f64 h #s(literal -1 binary64)) l))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.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 (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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)))
Calls

4 calls:

17.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
13.0ms
d
11.0ms
l
11.0ms
h
Results
AccuracySegmentsBranch
77.9%4d
74.2%3h
78.3%5(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
76.1%3l
Compiler

Compiled 38 to 37 computations (2.6% saved)

regimes37.0ms (0.4%)

Memory
33.5MiB live, 78.8MiB allocated; 5ms collecting garbage
Counts
42 → 5
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (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) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 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 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 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 (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 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 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 (/.f64 (pow.f64 h #s(literal -1 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 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (sqrt.f64 (*.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal -1 binary64))) (pow.f64 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 (exp.f64 (*.f64 (log.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 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 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) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (*.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 #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 (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #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))) #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))))))
#s(approx (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #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 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (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 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 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 (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 (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d))) #s(literal -1/8 binary64) (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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) 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 (fma.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 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 (fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 d d) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64))) d))
(*.f64 #s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) 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 (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 (* (* (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))
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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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))
Calls

3 calls:

14.0ms
l
11.0ms
d
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
78.3%5(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
72.1%2l
76.5%4d
Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes54.0ms (0.6%)

Memory
-47.5MiB live, 100.2MiB allocated; 11ms collecting garbage
Counts
24 → 5
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (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) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 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 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 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 (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 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 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 (/.f64 (pow.f64 h #s(literal -1 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 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (sqrt.f64 (*.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal -1 binary64))) (pow.f64 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 (exp.f64 (*.f64 (log.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 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 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) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (*.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 #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)))
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 (pow.f64 h #s(literal -1 binary64)) l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 #s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (*.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 #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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
Calls

7 calls:

9.0ms
(*.f64 M D)
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))))
7.0ms
D
7.0ms
h
7.0ms
d
Results
AccuracySegmentsBranch
47.4%2D
54.2%4l
48.2%2M
50.0%2(*.f64 M D)
55.7%5h
62.9%5d
60.4%5(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes13.0ms (0.2%)

Memory
31.5MiB live, 31.5MiB allocated; 0ms collecting garbage
Counts
22 → 5
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (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) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 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 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 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 (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 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 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 (/.f64 (pow.f64 h #s(literal -1 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 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (sqrt.f64 (*.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal -1 binary64))) (pow.f64 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 (exp.f64 (*.f64 (log.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 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 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) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (* -1/8 (/ (* (pow (* D M) 2) -1) d)) (*.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))))))
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) -1) d)) (*.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 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
Calls

2 calls:

6.0ms
d
5.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
60.4%5(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
56.4%4d
Compiler

Compiled 36 to 27 computations (25% saved)

regimes34.0ms (0.4%)

Memory
-3.9MiB live, 89.7MiB allocated; 5ms collecting garbage
Counts
21 → 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 (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 (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (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) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 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 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 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 (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 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 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 (/.f64 (pow.f64 h #s(literal -1 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 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (sqrt.f64 (*.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal -1 binary64))) (pow.f64 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 (exp.f64 (*.f64 (log.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 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 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) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)))))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (neg.f64 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))
#s(approx (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
Calls

5 calls:

9.0ms
d
7.0ms
(*.f64 M D)
6.0ms
l
6.0ms
h
5.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
46.0%2(*.f64 M D)
52.3%4h
49.5%3l
50.6%4d
53.5%5(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 41 to 43 computations (-4.9% saved)

regimes13.0ms (0.2%)

Memory
-19.9MiB live, 30.6MiB allocated; 4ms collecting garbage
Counts
16 → 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 (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 (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (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) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 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 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 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 (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 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 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 (/.f64 (pow.f64 h #s(literal -1 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 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
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 (pow.f64 h #s(literal -1 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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
Calls

2 calls:

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))))
5.0ms
h
Results
AccuracySegmentsBranch
49.3%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
50.4%3h
Compiler

Compiled 36 to 27 computations (25% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
h
Results
AccuracySegmentsBranch
50.0%3h
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes21.0ms (0.2%)

Memory
0.0MiB live, 46.0MiB allocated; 3ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (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) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 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 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 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))
Calls

6 calls:

5.0ms
l
3.0ms
M
3.0ms
h
3.0ms
D
3.0ms
d
Results
AccuracySegmentsBranch
39.3%1D
46.6%2d
46.3%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
47.3%2l
39.3%1M
46.4%2h
Compiler

Compiled 40 to 47 computations (-17.5% saved)

regimes3.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (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) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))
Calls

1 calls:

3.0ms
l
Results
AccuracySegmentsBranch
47.3%2l
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (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 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))
Calls

1 calls:

1.0ms
l
Results
AccuracySegmentsBranch
47.0%2l
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes8.0ms (0.1%)

Memory
-22.7MiB live, 24.6MiB allocated; 1ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

2.0ms
(*.f64 M D)
1.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms
l
1.0ms
D
1.0ms
h
Results
AccuracySegmentsBranch
26.1%1M
26.1%1D
26.1%1(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
26.1%1(*.f64 M D)
26.1%1h
26.1%1d
26.1%1l
Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch106.0ms (1.2%)

Memory
-6.0MiB live, 184.2MiB allocated; 15ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
-6.72602497734034e-306
2.0882640820712128e-305
47.0ms
-9.889463431736187e+66
-1.1056220260922181e+62
Samples
41.0ms288×0valid
31.0ms255×0invalid
Compiler

Compiled 1 532 to 1 137 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-pow: 17.0ms (33.1% of total)
ival-mult!: 13.0ms (25.3% of total)
ival-div!: 12.0ms (23.4% of total)
ival-pow2: 7.0ms (13.6% of total)
ival-sub!: 1.0ms (1.9% of total)
adjust: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
-6.72602497734034e-306
2.0882640820712128e-305
2.0ms
-9.889463431736187e+66
-1.1056220260922181e+62
Compiler

Compiled 1 532 to 1 137 computations (25.8% saved)

bsearch158.0ms (1.9%)

Memory
-0.5MiB live, 151.3MiB allocated; 56ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
36.0ms
1.8161557036509415e-241
6.576763483174999e-241
59.0ms
-5.206456351922185e-105
-5.51602736111846e-106
52.0ms
-4.072612789101934e+157
-6.992467408702261e+149
Samples
91.0ms320×0valid
23.0ms245×0invalid
Compiler

Compiled 1 864 to 1 298 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult!: 48.0ms (50.4% of total)
ival-div!: 27.0ms (28.3% of total)
ival-pow: 13.0ms (13.6% of total)
ival-pow2: 6.0ms (6.3% of total)
ival-sub!: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.4460165865568041e+214
1.0781733685878006e+223
0.0ms
2.4789582632872724e-200
4.800763506627989e-196
0.0ms
-1.4600818650528795e-221
0.0
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch231.0ms (2.7%)

Memory
4.4MiB live, 288.5MiB allocated; 23ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
57.0ms
6.161969376322242e-87
6.000254370005579e-84
46.0ms
-1.4575560460907657e-300
-2.5953708429027587e-302
47.0ms
-7.274379778793089e-41
-1.5832297229643502e-49
59.0ms
-4.072612789101934e+157
-6.992467408702261e+149
Samples
90.0ms512×0valid
56.0ms480×0invalid
Compiler

Compiled 3 166 to 2 195 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-pow: 43.0ms (42% of total)
ival-div!: 24.0ms (23.4% of total)
ival-mult!: 23.0ms (22.4% of total)
ival-pow2: 11.0ms (10.7% of total)
ival-sub!: 2.0ms (2% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.4460165865568041e+214
1.0781733685878006e+223
0.0ms
2.4789582632872724e-200
4.800763506627989e-196
0.0ms
-1.954594570362848e+36
-2.6992482288385294e-66
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch121.0ms (1.4%)

Memory
-8.5MiB live, 231.9MiB allocated; 25ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
5.422704766022476e+189
1.998684015514074e+190
40.0ms
-2.9231261831432394e-283
-1.7303135423774567e-286
31.0ms
-3.36263868199269e+141
-3.3576514643751025e+140
Samples
43.0ms304×0valid
39.0ms290×0invalid
Compiler

Compiled 1 771 to 1 187 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult!: 20.0ms (34.2% of total)
ival-pow: 18.0ms (30.8% of total)
ival-div!: 13.0ms (22.3% of total)
ival-pow2: 6.0ms (10.3% of total)
ival-sub!: 1.0ms (1.7% of total)
adjust: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.422704766022476e+189
1.998684015514074e+190
1.0ms
-2.9231261831432394e-283
-1.7303135423774567e-286
Compiler

Compiled 1 323 to 857 computations (35.2% saved)

bsearch2.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.422704766022476e+189
1.998684015514074e+190
1.0ms
-2.9231261831432394e-283
-1.7303135423774567e-286
Compiler

Compiled 1 315 to 857 computations (34.8% saved)

bsearch34.0ms (0.4%)

Memory
-15.9MiB live, 77.8MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
9.324249889828514e-222
3.0359208255881975e-221
Samples
11.0ms80×0valid
11.0ms98×0invalid
Compiler

Compiled 483 to 325 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-pow: 5.0ms (30.2% of total)
ival-div!: 5.0ms (30.2% of total)
ival-mult!: 4.0ms (24.1% of total)
ival-pow2: 2.0ms (12.1% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
9.324249889828514e-222
3.0359208255881975e-221
Compiler

Compiled 478 to 320 computations (33.1% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
9.324249889828514e-222
3.0359208255881975e-221
Compiler

Compiled 473 to 315 computations (33.4% saved)

derivations92.0ms (1.1%)

Memory
-24.3MiB live, 170.6MiB allocated; 10ms collecting garbage
Stop Event
fuel
Compiler

Compiled 2 454 to 210 computations (91.4% saved)

preprocess240.0ms (2.8%)

Memory
5.0MiB live, 625.5MiB allocated; 28ms collecting garbage
Remove

(sort M D)

(abs D)

(abs M)

Compiler

Compiled 21 314 to 6 088 computations (71.4% saved)

end0.0ms (0%)

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

Profiling

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